English

A Framework for Computing Greedy Clique Cover

Data Structures and Algorithms 2022-09-07 v2 Discrete Mathematics

Abstract

Structural parameters of graph (such as degeneracy and arboricity) had rarely been considered when designing algorithms for (edge) clique cover\textit{(edge) clique cover} problems. Taking degeneracy of graph into account, we present a greedy framework and two fixed-parameter tractable algorithms for clique cover\textit{clique cover} problems. We introduce a set theoretic concept and demonstrate its use in the computations of different objectives of clique cover\textit{clique cover}. Furthermore, we show efficacy of our algorithms in practice.

Keywords

Cite

@article{arxiv.2108.09851,
  title  = {A Framework for Computing Greedy Clique Cover},
  author = {Ahammed Ullah},
  journal= {arXiv preprint arXiv:2108.09851},
  year   = {2022}
}

Comments

28 Pages, 6 Figures

R2 v1 2026-06-24T05:19:43.809Z