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arXiv · 2208.12438

Computing Clique Cover with Structural Parameterization

Ahammed Ullah
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Abstract

An abundance of real-world problems manifest as covering edges and/or vertices of a graph with cliques that are optimized for some objectives. We consider different structural parameters of graph, and design fixed-parameter tractable algorithms for a number of clique cover problems. Using a set representation of graph, we introduce a framework for computing clique cover with different objectives. We demonstrate use of the framework for a variety of clique cover problems. Our results include a number of new algorithms with exponential to double exponential improvements in the running time.

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Ahammed Ullah. 2022-08-26. Computing Clique Cover with Structural Parameterization. https://arxiv.org/abs/2208.12438

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