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- W2100046607 abstract "A clique in a graph G is a complete subgraph of G. A clique covering (partition) of G is a collection C of cliques such that each edge of G occurs in at least (exactly) one clique in C. The clique covering (partition) number cc(G) (cp(G)) of G is the minimum size of a clique covering (partition) of G. This paper gives alternative proofs, using a unified approach, for the results on the clique covering (partition) numbers of line graphs obtained by McGuinness and Rees [On the number of distinct minimal clique partitions and clique covers of a line graph, Discrete Math. 83 (1990) 49–62]. We also employ the proof techniques to give an alternative proof for the De Brujin–Erdős Theorem." @default.
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- W2100046607 date "2008-06-01" @default.
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- W2100046607 title "Clique coverings and partitions of line graphs" @default.
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- W2100046607 doi "https://doi.org/10.1016/j.disc.2007.04.059" @default.
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