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
2001-01-01

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.
2001
even circuit decomposition; eulerian graph; K_5
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/409610
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 5
social impact