A circuit decomposition of a graph G=(V,E) is a partition of E into circuits. A decomposition is said even if all its circuits have even length. We give a negative answer to a question posed by Jackson asking whether K_5 is the only 4-connected eulerian graph with an even number of edges but no even circuit decomposition.

On 4-connected graphs without even cycle decompositions

RIZZI, ROMEO
2001

Abstract

A circuit decomposition of a graph G=(V,E) is a partition of E into circuits. A decomposition is said even if all its circuits have even length. We give a negative answer to a question posed by Jackson asking whether K_5 is the only 4-connected eulerian graph with an even number of edges but no even circuit decomposition.
even circuit decomposition; eulerian graph; K_5
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11562/409610
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