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) + |V (G1)|. The proof of this result yields a combinatorial algorithm to optimally colour the edges of this type of graphs.

A combinatorial algorithm to optimally colour the edges of the graphs that are join of regular graphs

De Simone C;Galluccio A
2008

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) + |V (G1)|. The proof of this result yields a combinatorial algorithm to optimally colour the edges of this type of graphs.
2008
Istituto di Analisi dei Sistemi ed Informatica ''Antonio Ruberti'' - IASI
978-3-540-85096-0
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/170308
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