diff --git a/doc/makeConnected/pgr_makeConnected.rst b/doc/makeConnected/pgr_makeConnected.rst
index 8bfbd059d8c..c66581e986f 100644
--- a/doc/makeConnected/pgr_makeConnected.rst
+++ b/doc/makeConnected/pgr_makeConnected.rst
@@ -10,8 +10,7 @@
 pgr_makeConnected - Experimental
 ===============================================================================
 
-``pgr_makeConnected`` — Returns the set of `node_from` and `node_to` of edges. This set of edges are those edges
-which will make the graph connected.
+``pgr_makeConnected`` — Returns the set of edges that will make the graph connected.
 
 .. figure:: images/boost-inside.jpeg
    :target: https://www.boost.org/libs/graph/doc/make_connected.html
@@ -89,13 +88,6 @@ only one connected component.
       :start-after: -- q4
       :end-before: -- q5
 
-pgr_makeConnected() can also be used to verify it. Since, the graph is already connected now, it will
-return an empty set of row.
-
-.. literalinclude:: doc-pgr_makeConnected.queries
-      :start-after: -- q5
-      :end-before: -- q6
-
 Parameters
 -------------------------------------------------------------------------------
 
diff --git a/doc/planar/pgr_isPlanar.rst b/doc/planar/pgr_isPlanar.rst
index 31850216db0..b5c61d07bec 100644
--- a/doc/planar/pgr_isPlanar.rst
+++ b/doc/planar/pgr_isPlanar.rst
@@ -37,10 +37,12 @@ Description
 
 A graph is planar if it can be drawn in two-dimensional space with no two of its edges crossing. Such a drawing
 of a planar graph is called a plane drawing. Every planar graph also admits a straight-line drawing, which is a
-plane drawing where each edge is represented by a line segment. When a graph has K5 or K3,3 as subgraph then the
+plane drawing where each edge is represented by a line segment. When a graph has :math:`K_5` or :math:`K_{3,3}` as subgraph then the
 graph is not planar.
 
 The main characteristics are:
+  - This implementation use the Boyer-Myrvold Planarity Testing.
+
   - It will return a boolean value depending upon the planarity of the graph.
 
   - Applicable only for **undirected** graphs.
@@ -108,22 +110,23 @@ Returns a boolean ``(pgr_isplanar)``
 =================  =========== ============================================================
 Column             Type        Description
 =================  =========== ============================================================
-**pgr_isplanar**   ``BOOLEAN`` `t` if graph is planar and `f` if graph is non-planar.
+**pgr_isplanar**   ``BOOLEAN`` - `true` when the graph is planar.
+                               - `false` when the graph is not planar.
 =================  =========== ============================================================
 
 Additional Example:
 -------------------------------------------------------------------------------
 
-The following edges will make the subgraph with vertices {3, 4, 6, 9, 16} a K5 graph.
+The following edges will make the subgraph with vertices {3, 4, 6, 9, 16} a :math:`K_5` graph.
 
 .. literalinclude:: doc-pgr_isPlanar.queries
    :start-after: -- q2
    :end-before: -- q3
 
-The new graph is not planar because it has a K5 subgraph. Edges in blue represent K5 subgraph.
+The new graph is not planar because it has a :math:`K_5` subgraph. Edges in blue represent :math:`K_5` subgraph.
 
 .. image:: images/nonPlanar.png
-   :width: 45%
+   :scale: 50%
 
 .. literalinclude:: doc-pgr_isPlanar.queries
    :start-after: -- q3