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No maximal clique of size at least 2 is monocoloured since every maximal clique of G contains an induced subgraph isomorphic to a maximal clique of G′ that is not monocoloured by hypothesis.
Then, any maximal clique of G is an induced subgraph of either (G_v^+) or (G_v^-).
In fact, if K is a maximal clique of G it has two different colours.
We observe that any maximal clique of G is an induced subgraph of either (G_1^+) or (G_1^-).
Algorithm 3 is a simple algorithm that heuristically finds the maximum (the largest maximal) clique of a graph.
A clique-colouring of a graph is a colouring of its vertices such that no maximal clique of size at least two is monocoloured.
Similar(42)
Also a linear time algorithm is designed to find all the maximal cliques of G2 from G. Application of square of interval graphs in the field of L h,k -labelling probL h,k -labellingussed.
In addition, we show that the multipartite graph on which the series terminates has a very nice combinatorial structure: we exhibit a bijection between its vertices and the chains of the inclusion order on the intersections of the maximal cliques of the input graph.
Therefore, the maximal cliques of G can be computed with two partitioning operations.
The authors present a parallel algorithm for generating all maximal cliques of a graph.
The maximal cliques of the chosen vertices are computed over the entire graph.
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