Colourful theorems and topological lower bounds on chromatic numbers

Claude Tardif · 2011

We introduce the cross-index, which refines the usual topological lower bounds on the chromatic number of a graph. We use the cross-index to prove colourful complete bipartite subgraph theorems in the spirit of [15, 16]. We investigate the complexity of computing the cross-index of Z2-posets.

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