Complexity of determining the irregular chromatic index of a graph
Résumé
A graph G is locally irregular if adjacent vertices of G have different degrees. A k-edge colouring phi of G is locally irregular if each of the k colours of phi induces a locally irregular subgraph of G. The irregular chromatic index chi_{irr}'(G) of G is the least number of colours used by a locally irregular edge colouring of G (if any). We show that determining whether chi_{irr}'(G)=2 is NP-complete in general.
Domaines
Mathématique discrète [cs.DM]
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