International Journal of Modern Education and Computer Science (IJMECS)

ISSN: 2075-0161 (Print), ISSN: 2075-017X (Online)

Published By: MECS Press

IJMECS Vol.10, No.1, Jan. 2018

An Approach to Determination of Maximal Cliques in Undirected Graphs

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S.V. Listrovoy, A.V. Sidorenko, E.S. Listrovaya

Index Terms

Мaximal independent set;click, vertex cover;decomposition of a graph into triangles


The article proposes the implicit exhaustive search procedure based on the triangle decomposition of graphs for determining the maximal clique in the arbitrary undirected graph G in polynomial time; it has allowed developing an exact algorithm for solving the problem with time complexity not exceeding  , where   is the number of vertices in the graph G. 

Cite This Paper

S.V. Listrovoy, A.V. Sidorenko, E.S. Listrovaya, "An Approach to Determination of Maximal Cliques in Undirected Graphs", International Journal of Modern Education and Computer Science(IJMECS), Vol.10, No.1, pp. 1-12, 2018.DOI: 10.5815/ijmecs.2018.01.01


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