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# Incremental Calculation of the Objective Function in Local Search Algorithms
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<img width="753" alt="graph-coloring-comp-1" src="https://github.com/user-attachments/assets/5c2f4a8f-e0fb-4a52-8605-aec90bbeffa3" />
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<p align="center" width="100%">
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<img src="https://github.com/user-attachments/assets/ab1a9070-6544-49fe-87e9-5beeae1824d9" alt="Computation Graph 1" title="Computation Graph 1" width="50%" />
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</p>
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<em>Figure 1: Computation Graph for Initial State</em>
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<p align="center" width="100%">
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<img src="https://github.com/user-attachments/assets/d8ed063b-f362-4c27-942c-a7f11674ef89" alt="Computation Graph 1" title="Computation Graph 1" width="50%" />
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</p>
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<p align="center" width="100%">
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<em>Figure 2: Computation Graph after the change in the input vertex "a" presenting the propagation of the dirty state</em>
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## Abstract

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