MST #175
MST #175
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WalkthroughAdds a new documentation page describing the Minimum Spanning Forest (MSF) algorithm, its iterative component-merge process, configurable weight handling, a Cypher procedure Changes
Sequence Diagram(s)sequenceDiagram
participant User
participant DB
participant AlgoEngine
participant GraphStore
User->>DB: CALL algo.MSF({nodeLabels, relationshipTypes, objective, weightAttribute})
DB->>AlgoEngine: invoke MSF with config
AlgoEngine->>GraphStore: read nodes & relationships (apply filters)
AlgoEngine->>AlgoEngine: build components, select min/max cross-component edges, merge iteratively
AlgoEngine-->>DB: stream records for each tree (nodes, edges)
DB-->>User: return stream of trees
Estimated code review effort🎯 1 (Trivial) | ⏱️ ~3 minutes
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🧹 Nitpick comments (5)
algorithms/mst.md (5)
38-40: Fix typo and capitalize sentence inweightAttributerow
attributeis misspelled and the sentence should start with an uppercase letter.-| `weightAttribute` | string | Unweighted | the atrribute to use as the tree weight. | +| `weightAttribute` | string | Unweighted | The attribute to use as the tree weight. |
44-46: Correct acronym from “MSF” to “MST”
The table describes the Minimum Spanning Tree; “MSF” is a typo.-| `edge` | Edge | An edge entity which is part of the MSF graph | +| `edge` | Edge | An edge entity which is part of the MST graph |
49-49: Remove trailing colon in heading
Markdown-lint (MD026) flags trailing punctuation.-## Examples: +## Examples
79-79: Remove trailing colon in sub-heading
SameMD026warning as above.-### Example: Find cheapest road network: +### Example: Find cheapest road network
84-92: Add blank lines around results table
MD058requires a blank line before and after tables.-#### Expected Results -| Edge | weight | -|-----------|--------| -| `[:ROAD]` | 0.7 | -| `[:TRAM]` | 1.2 | -| `[:TRAM]` | 1.5 | -| `[:ROAD]` | 2.2 | -| `[:ROAD]` | 2.3 | -| `[:ROAD]` | 3.0 | +#### Expected Results + +| Edge | weight | +|-----------|--------| +| `[:ROAD]` | 0.7 | +| `[:TRAM]` | 1.2 | +| `[:TRAM]` | 1.5 | +| `[:ROAD]` | 2.2 | +| `[:ROAD]` | 2.3 | +| `[:ROAD]` | 3.0 | +
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algorithms/mst.md
49-49: Trailing punctuation in heading
Punctuation: ':'
(MD026, no-trailing-punctuation)
79-79: Trailing punctuation in heading
Punctuation: ':'
(MD026, no-trailing-punctuation)
85-85: Tables should be surrounded by blank lines
(MD058, blanks-around-tables)
🪛 GitHub Actions: spellcheck
algorithms/mst.md
[error] 1-1: Spelling errors detected: 'subgraph', 'atrribute', 'MSF'. Please correct the spelling mistakes.
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🧹 Nitpick comments (6)
algorithms/mst.md (6)
49-49: Remove trailing colon from the headingMarkdown-lint (MD026) flags punctuation at the end of a heading.
Suggested tweak:-## Examples: +## Examples
79-79: Same MD026 issue for this sub-heading-### Example: Find cheapest road network: +### Example – Find cheapest road network
84-85: Add a blank line before the tableMarkdown-lint (MD058) requires tables to be surrounded by blank lines to render properly.
-#### Expected Results -| Edge | weight | +#### Expected Results + +| Edge | weight |
51-51: Apostrophe missing in “Let’s”-Lets take this City as an example: +Let's take this City as an example:
20-21: Clarify wording – use “minimum-weight edges”“Minimum edges” could be misread as “fewest edges”. Re-phrase for precision.
-MST first assigns each node to its own component. It iteratively scans for the minimum edges linking nodes across different components +MST first assigns each node to its own component. It iteratively scans for the minimum-weight edges linking nodes across different components
22-22: Minor verb agreement-If no attribute is given, returns any spanning tree. +If no attribute is given, the procedure returns an arbitrary spanning tree.
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algorithms/mst.md
49-49: Trailing punctuation in heading
Punctuation: ':'
(MD026, no-trailing-punctuation)
79-79: Trailing punctuation in heading
Punctuation: ':'
(MD026, no-trailing-punctuation)
85-85: Tables should be surrounded by blank lines
(MD058, blanks-around-tables)
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Actionable comments posted: 2
🧹 Nitpick comments (4)
algorithms/mst.md (4)
1-5: Front-matter duplication & missing SEO keywords
titleanddescriptionrepeat the same text, which dings search-ranking and looks sloppy. Consider adding a concise, keyword-rich sentence todescriptioninstead of mirroring the title.-title: "Minimum Spanning Tree (MST)" -description: "Minimum Spanning Tree (MST)" +title: "Minimum Spanning Tree (MST)" +description: "Finds the least-cost (or greatest-cost) spanning sub-graph across weakly connected components."
32-40: Table default forweightAttributeis unclear
“Unweighted” isn’t a real default value. Say None or leave empty so users know they can omit it.
52-74: Minor Cypher style nits in sample graph
Comma-terminated last line beforeRETURN *, and skippingrEin the edge sequence look untidy and distract readers. Consider:
- Drop the trailing comma after the final edge.
- Rename
rF→rEfor consistent sequencing.
76-76: Remove trailing colon to silence markdownlint (MD026)
Headings shouldn’t end with punctuation.-## Examples: +## Examples
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algorithms/mst.md
[grammar] ~89-~89: Ensure spelling is correct
Context: ...## Expected Results The algorithm would yeild the following edge objects and their we...
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algorithms/mst.md
76-76: Trailing punctuation in heading
Punctuation: ':'
(MD026, no-trailing-punctuation)
88-88: Heading levels should only increment by one level at a time
Expected: h3; Actual: h4
(MD001, heading-increment)
🪛 GitHub Actions: spellcheck
algorithms/mst.md
[error] 1-1: Spelling errors detected: 'subgraph', 'yeild'. Please correct the spelling mistakes.
| #### Expected Results | ||
| The algorithm would yeild the following edge objects and their weights: | ||
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|
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Heading level jump & spelling error break CI
#### Expected Resultsskips a level (MD001).- “yeild” → “yield” fails the spell-checker.
-#### Expected Results
-The algorithm would yeild the following edge objects and their weights:
+### Expected Results
+The algorithm would yield the following edge objects and their weights:📝 Committable suggestion
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| #### Expected Results | |
| The algorithm would yeild the following edge objects and their weights: | |
| ### Expected Results | |
| The algorithm would yield the following edge objects and their weights: |
🧰 Tools
🪛 LanguageTool
[grammar] ~89-~89: Ensure spelling is correct
Context: ...## Expected Results The algorithm would yeild the following edge objects and their we...
(QB_NEW_EN_ORTHOGRAPHY_ERROR_IDS_1)
🪛 markdownlint-cli2 (0.17.2)
88-88: Heading levels should only increment by one level at a time
Expected: h3; Actual: h4
(MD001, heading-increment)
🤖 Prompt for AI Agents
In algorithms/mst.md around lines 88 to 90, fix the heading level by changing
the heading from #### to ### or another appropriate level to avoid skipping
levels, and correct the spelling mistake by replacing "yeild" with "yield" to
pass the spell-checker.
algorithms/mst.md
Outdated
| MST first assigns each node to its own component. It iteratively scans for the minimum edges linking nodes across different components and merges them, ignoring the direction of edges throughout the process. The algorithm terminates when no further merges occur, producing a collection of trees. | ||
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| The procedure finds a minimum or maximum weight spanning tree based on the specified `objective` and optimizes for the given `weightAttribute`. If no attribute is given, MST returns any collection of spanning trees. If any specified edges do not have the given weight attribute, or the value of the attribute is non-numeric, then they are treated as if they had infinite weight. Such an edge would only be included in the minimum spanning tree if no other edges with a valid weight attribute bridge the components it connects. | ||
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🛠️ Refactor suggestion
Infinite-weight rule is ambiguous for objective: "maximize"
Treating missing / non-numeric weights as “infinite” works for minimisation, but for maximisation you actually want them to behave as negative infinity so they never get selected. Spell this out (or state that they are excluded) to avoid user confusion & silent logic bugs.
-If any specified edges do not have the given weight attribute, or the value of the attribute is non-numeric, then they are treated as if they had infinite weight.
+If an edge lacks the attribute or the value is non-numeric, it is treated as:
+* `+∞` when `objective = "minimize"`
+* `−∞` (effectively excluded) when `objective = "maximize"`.📝 Committable suggestion
‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.
| MST first assigns each node to its own component. It iteratively scans for the minimum edges linking nodes across different components and merges them, ignoring the direction of edges throughout the process. The algorithm terminates when no further merges occur, producing a collection of trees. | |
| The procedure finds a minimum or maximum weight spanning tree based on the specified `objective` and optimizes for the given `weightAttribute`. If no attribute is given, MST returns any collection of spanning trees. If any specified edges do not have the given weight attribute, or the value of the attribute is non-numeric, then they are treated as if they had infinite weight. Such an edge would only be included in the minimum spanning tree if no other edges with a valid weight attribute bridge the components it connects. | |
| The procedure finds a minimum or maximum weight spanning tree based on the specified `objective` and optimizes for the given `weightAttribute`. If no attribute is given, MST returns any collection of spanning trees. | |
| If an edge lacks the attribute or the value is non-numeric, it is treated as: | |
| * `+∞` when `objective = "minimize"` | |
| * `−∞` (effectively excluded) when `objective = "maximize"`. | |
| Such an edge would only be included in the minimum spanning tree if no other edges with a valid weight attribute bridge the components it connects. |
🤖 Prompt for AI Agents
In algorithms/mst.md around lines 20 to 23, clarify the handling of missing or
non-numeric weight attributes for the "maximize" objective. Update the text to
specify that for maximization, such edges should be treated as having negative
infinity weight or be excluded entirely, ensuring they are never selected. This
will prevent ambiguity and potential logic errors when maximizing the spanning
tree weight.
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🧹 Nitpick comments (4)
algorithms/msf.md (4)
76-76: Remove trailing colon in heading for Markdown-lint complianceHeading
## Examples:ends with a colon, triggering MD026. Drop the colon to silence the linter and keep style consistent with other docs.-## Examples: +## Examples
88-88: Fix heading level jump (####→###)
#### Expected Resultsskips a level after## Examples. Use###to increment by one, satisfying MD001.-#### Expected Results +### Expected Results
89-89: Correct typo “yeild” → “yield”Simple spelling error in prose.
-The algorithm would yeild the following edge objects and their weights: +The algorithm would yield the following edge objects and their weights:
55-74: Clarify relationship direction vs. algorithm semanticsThe Cypher sample creates directed
ROAD/TRAMrelationships (-->). Because MSF treats edges as undirected, it may confuse readers why directions are specified. Consider adding a sentence before or after the block to clarify that the procedure ignores direction, or switch to-[:ROAD]-style.
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algorithms/msf.md
[grammar] ~89-~89: Ensure spelling is correct
Context: ...## Expected Results The algorithm would yeild the following edge objects and their we...
(QB_NEW_EN_ORTHOGRAPHY_ERROR_IDS_1)
🪛 markdownlint-cli2 (0.17.2)
algorithms/msf.md
76-76: Trailing punctuation in heading
Punctuation: ':'
(MD026, no-trailing-punctuation)
88-88: Heading levels should only increment by one level at a time
Expected: h3; Actual: h4
(MD001, heading-increment)
🔇 Additional comments (2)
algorithms/msf.md (2)
82-83: Verify image paths
../images/city_plan.pngand../images/city_msf.pngmay break if the docs site’s build moves the Markdown file. Confirm the relative path is valid in the final site hierarchy or use an absolute docs-relative path.
1-90: Overall: solid, well-structured docContent reads clearly, parameters & returns are explicit, and examples are practical. With the minor polish above, it’s good to merge.
|
@GomezGab please see the spellchecker errors |
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Actionable comments posted: 4
🧹 Nitpick comments (5)
algorithms/msf.md (5)
11-11: Minor wording: “bidirectional” and clarityPrefer “bidirectional” and tighten the sentence.
-The Minimum Spanning Forest (MSF) finds the relationships with minimum weights such that any weakly connected component in the graph stays connected. It treats all edges as bi-directional and ensures that any pair of nodes that previously shared a path will still share a unique path in the MSF graph. +The Minimum Spanning Forest (MSF) selects lowest-weight relationships that keep each weakly connected component connected. It treats all edges as bidirectional and ensures that any pair of nodes that previously shared a path still share a unique path in the MSF graph.
20-21: Clarify “minimum edges” and end-condition
- “minimum edges” → “minimum-weight edges”
- Prefer “set of trees” for precision.
-MSF first assigns each node to its own component. It iteratively scans for the minimum edges linking nodes across different components and merges them, ignoring the direction of edges throughout the process. The algorithm terminates when no further merges occur, producing a collection of trees. +MSF first assigns each node to its own component. It iteratively selects the minimum‑weight edges that link nodes across different components and merges them, ignoring edge direction throughout. The algorithm terminates when no further merges occur, producing a set of trees.
41-48: Minor table nit: article usage and phrasingTighten phrasing for tables.
-The procedure returns a stream of records corresponding to each tree in the forest with the following fields: +The procedure returns a stream of records, one per tree in the forest, with the following fields:
73-73: Fix heading punctuation (MD026)Remove trailing colon.
-## Examples: +## Examples
85-86: Fix heading level increment (MD001) and stylePromote to h3 and use sentence case.
-#### Expected Results +### Expected results
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algorithms/msf.md
[grammar] ~14-~14: There might be a mistake here.
Context: ... road network connecting several cities. - Power Grid / Utility cost optimization. ...
(QB_NEW_EN)
[grammar] ~15-~15: There might be a mistake here.
Context: ... Power Grid / Utility cost optimization. - Identifying redundancies in networks. #...
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[grammar] ~41-~41: There might be a mistake here.
Context: ... | ### Return Values The procedure returns a stream of record...
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[grammar] ~44-~44: There might be a mistake here.
Context: ...ype | Description | |---------|------|----------------------...
(QB_NEW_EN)
[grammar] ~45-~45: There might be a mistake here.
Context: ...----|----------------------------------| | edges | List | The edges that connec...
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[grammar] ~46-~46: There might be a mistake here.
Context: ...ist | The edges that connect each tree | | nodes | List | The nodes in the tree...
(QB_NEW_EN)
[grammar] ~85-~85: There might be a mistake here.
Context: ... edge, weight ``` #### Expected Results The algorithm would yield a single tree ...
(QB_NEW_EN)
🪛 markdownlint-cli2 (0.17.2)
algorithms/msf.md
73-73: Trailing punctuation in heading
Punctuation: ':'
(MD026, no-trailing-punctuation)
85-85: Heading levels should only increment by one level at a time
Expected: h3; Actual: h4
(MD001, heading-increment)
🔇 Additional comments (2)
.wordlist.txt (1)
64-64: LGTM: add "MSF" to wordlistAcronym addition looks correct and should resolve the spellchecker complaint for "MSF".
algorithms/msf.md (1)
79-88: Images found — no broken links in algorithms/msf.mdBoth images referenced in algorithms/msf.md (lines 79–88) are present in the repo at:
- images/city_plan.png
- images/city_msf.png
| - Designing a cost-effective road network connecting several cities. | ||
| - Power Grid / Utility cost optimization. | ||
| - Identifying redundancies in networks. | ||
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🛠️ Refactor suggestion
Fix bullet grammar/style to satisfy spellchecker and readability
- Avoid "Power Grid / Utility" slash construction.
- Use parallel structure and sentence casing.
Apply:
- MSF serves as a common algorithm in scenarios such as:
-- Designing a cost-effective road network connecting several cities.
-- Power Grid / Utility cost optimization.
-- Identifying redundancies in networks.
+ MSF is commonly used in scenarios such as:
+ - Designing a cost-effective road network connecting several cities
+ - Power grid and utility cost optimization
+ - Identifying redundancies in networks📝 Committable suggestion
‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.
| - Designing a cost-effective road network connecting several cities. | |
| - Power Grid / Utility cost optimization. | |
| - Identifying redundancies in networks. | |
| MSF is commonly used in scenarios such as: | |
| - Designing a cost-effective road network connecting several cities | |
| - Power grid and utility cost optimization | |
| - Identifying redundancies in networks |
🧰 Tools
🪛 LanguageTool
[grammar] ~14-~14: There might be a mistake here.
Context: ... road network connecting several cities. - Power Grid / Utility cost optimization. ...
(QB_NEW_EN)
[grammar] ~15-~15: There might be a mistake here.
Context: ... Power Grid / Utility cost optimization. - Identifying redundancies in networks. #...
(QB_NEW_EN)
🤖 Prompt for AI Agents
In algorithms/msf.md around lines 14 to 17, the three bullet items use
inconsistent casing and a slash ("Power Grid / Utility") and need parallel
sentence-case phrasing for spellchecker and readability; replace the bullets
with parallel, sentence-case phrases such as "Designing a cost-effective road
network connecting several cities.", "Power grid and utility cost
optimization.", and "Identifying redundancies in networks." ensuring each bullet
starts with a capital letter and uses consistent grammatical structure.
| The procedure finds a minimum or maximum weight spanning forest based on the specified `objective` and optimizes for the given `weightAttribute`. If no attribute is given, MSF returns any collection of spanning trees. If any specified edges do not have the given weight attribute, or the value of the attribute is non-numeric, then they are treated as if they had infinite weight. Such an edge would only be included in the minimum spanning tree if no other edges with a valid weight attribute bridge the components it connects. | ||
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🛠️ Refactor suggestion
Consistency: “spanning forest” vs “tree”; clarify weight attribute semantics
- Use “spanning forest” consistently (not “tree”).
- “weightAttribute” applies to edges; make that explicit.
-The procedure finds a minimum or maximum weight spanning forest based on the specified `objective` and optimizes for the given `weightAttribute`. If no attribute is given, MSF returns any collection of spanning trees. If any specified edges do not have the given weight attribute, or the value of the attribute is non-numeric, then they are treated as if they had infinite weight. Such an edge would only be included in the minimum spanning tree if no other edges with a valid weight attribute bridge the components it connects.
+The procedure produces a minimum‑ or maximum‑weight spanning forest based on the `objective`, optimizing with the given edge `weightAttribute`. If no attribute is given, MSF returns any spanning forest. If an edge lacks the weight attribute or its value is non‑numeric, that edge is treated as having infinite weight and is only included if no valid‑weight edge bridges the same components.🤖 Prompt for AI Agents
In algorithms/msf.md around lines 22 to 23, the text mixes “spanning forest” and
“tree” and is ambiguous about what the weightAttribute applies to; change
wording to use “spanning forest” consistently and explicitly state that
weightAttribute refers to edge attributes (not nodes), and clarify that any edge
missing the specified weightAttribute or having a non-numeric value is treated
as having infinite weight and thus will only be selected in a minimum spanning
forest if no other valid-weight edges can connect its components.
| | Name | Type | Default | Description | | ||
| |---------------------|--------|------------------------|----------------------------------------------------------------------------| | ||
| | `nodeLabels` | Array | All labels | Array of node labels to filter which nodes are included in the computation | | ||
| | `relationshipTypes` | Array | All relationship types | Array of relationship types to define which edges are traversed | | ||
| | `objective` | string | 'minimize' | 'minimize' or 'maximize' what to optimize in the spanning tree | | ||
| | `weightAttribute` | string | Unweighted | the attribute to use as the tree weight. | | ||
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🛠️ Refactor suggestion
Parameter descriptions: precision and consistency
- “spanning tree” → “spanning forest”
- Clarify
objective - Clarify
weightAttributeapplies to edges.
-| `objective` | string | 'minimize' | 'minimize' or 'maximize' what to optimize in the spanning tree |
-| `weightAttribute` | string | Unweighted | the attribute to use as the tree weight. |
+| `objective` | string | 'minimize' | Whether to minimize or maximize the total edge weight of the spanning forest |
+| `weightAttribute` | string | Unweighted | Edge property name to use as the weight |📝 Committable suggestion
‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.
| | Name | Type | Default | Description | | |
| |---------------------|--------|------------------------|----------------------------------------------------------------------------| | |
| | `nodeLabels` | Array | All labels | Array of node labels to filter which nodes are included in the computation | | |
| | `relationshipTypes` | Array | All relationship types | Array of relationship types to define which edges are traversed | | |
| | `objective` | string | 'minimize' | 'minimize' or 'maximize' what to optimize in the spanning tree | | |
| | `weightAttribute` | string | Unweighted | the attribute to use as the tree weight. | | |
| | Name | Type | Default | Description | | |
| |---------------------|--------|------------------------|----------------------------------------------------------------------------| | |
| | `nodeLabels` | Array | All labels | Array of node labels to filter which nodes are included in the computation | | |
| | `relationshipTypes` | Array | All relationship types | Array of relationship types to define which edges are traversed | | |
| | `objective` | string | 'minimize' | Whether to minimize or maximize the total edge weight of the spanning forest | | |
| | `weightAttribute` | string | Unweighted | Edge property name to use as the weight | |
🤖 Prompt for AI Agents
In algorithms/msf.md around lines 34 to 40, update the parameter table
descriptions for precision and consistency: replace occurrences of “spanning
tree” with “spanning forest”, change the `objective` description to explicitly
state it accepts 'minimize' or 'maximize' (e.g., "Objective to minimize or
maximize the total weight of the forest"), and clarify `weightAttribute` by
noting it applies to edges (e.g., "Edge attribute name to use as the weight;
omit for unweighted").
| ```cypher | ||
| CALL algo.MSF({weightAttribute: 'cost'}) YIELD edge, weight | ||
| ``` |
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💡 Verification agent
🧩 Analysis chain
Critical: Return schema inconsistency between “Return Values” and example YIELD
Earlier you document returning per-tree records with fields edges and nodes. Here the example yields edge, weight (per-edge), which contradicts the documented schema.
Assuming the intended return is per-tree with edges and nodes, adjust the example:
-```cypher
-CALL algo.MSF({weightAttribute: 'cost'}) YIELD edge, weight
-```
+```cypher
+CALL algo.MSF({weightAttribute: 'cost'}) YIELD edges, nodes
+RETURN edges, nodes
+```If the actual API returns a per-edge stream (edge, weight), then the “Return Values” section and parameter descriptions must be updated instead. Please confirm the intended API surface.
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rg -n --context 5 "CALL algo.MSF" algorithms/msf.md || true
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Critical: Return schema inconsistency — example yields per-edge but "Return Values" documents per-tree edges/nodes.
The "Return Values" table documents per-tree records with edges and nodes, but the example at the end yields edge, weight, which contradicts the documented schema. Fix one of the two to match the intended API.
Files/locations to update:
- algorithms/msf.md — "Return Values" table (lines ~41–47)
- algorithms/msf.md — example call (lines ~81–83)
Suggested change (replace the example with a per-tree yield to match the docs):
-```cypher
-CALL algo.MSF({weightAttribute: 'cost'}) YIELD edge, weight
-```
+```cypher
+CALL algo.MSF({weightAttribute: 'cost'}) YIELD edges, nodes
+RETURN edges, nodes
+```If the actual procedure returns a per-edge stream (edge, weight), instead update the "Return Values" section to document edge and weight (and adjust the description/example accordingly). Please confirm the intended API surface so this doc can be corrected.
🤖 Prompt for AI Agents
In algorithms/msf.md around lines 81–83 and the Return Values table around lines
~41–47, the example yields per-edge (edge, weight) while the Return Values
document per-tree fields (edges, nodes); make them consistent by updating the
example to match the documented per-tree API: replace the current example call
with a CALL that YIELDs edges and nodes and returns those fields (update lines
81–83 accordingly), and verify the Return Values table explicitly lists edges
and nodes (adjust lines ~41–47 if wording needs clarification); alternatively,
if the actual procedure is per-edge, update the Return Values table to document
edge and weight and change the example description to match—pick the intended
API (prefer per-tree as suggested) and apply matching edits in both locations.
Summary by CodeRabbit