Infoscience

Journal article

A fast algorithm to remove proper and homogeneous pairs of cliques (while preserving some graph invariants)

We introduce a family of reductions for removing proper and homogeneous pairs of cliques from a graph G. This family generalizes some routines presented in the literature, mostly in the context of claw-free graphs. These reductions can be embedded in a simple algorithm that in at most |E(G)| steps builds a new graph G′ without proper and homogeneous pairs of cliques, and such that G and G′ agree on the value of some relevant invariant (or property). © 2011 Elsevier B.V. All rights reserved.

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