We prove that the edges of every even graph G = G1 +G2 that is the join of two regular graphs Gi = (Vi,Ei ) can be coloured with (G) colours, whenever (G) = (G2) + |V1|. The proof of this result yields a combinatorial algorithm to optimally colour the edges of this type of graphs
Edge-colouring of joins of regular graphs, I
De Simone C;Galluccio A
2009
Abstract
We prove that the edges of every even graph G = G1 +G2 that is the join of two regular graphs Gi = (Vi,Ei ) can be coloured with (G) colours, whenever (G) = (G2) + |V1|. The proof of this result yields a combinatorial algorithm to optimally colour the edges of this type of graphsFile in questo prodotto:
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