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Discussiones Mathematicae Graph Theory 30, 2 (2010) 315-333
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Mácajová and \v{S}koviera Conjecture on Cubic Graphs.
Jean-Luc Fouquet 1, Jean-Marie Vanherpe 1
(2010)

A conjecture of Má\u{c}ajová and \u{S}koviera asserts that every bridgeless cubic graph has two perfect matchings whose intersection does not contain any odd edge cut. We prove this conjecture for graphs with few vertices and we give a stronger result for traceable graphs.
1:  Laboratoire d'Informatique Fondamentale d'Orléans (LIFO)
Université d'Orléans : EA4022 – Ecole Nationale Supérieure d'Ingénieurs de Bourges
Computer Science/Discrete Mathematics
Cubic graph – Edge-partition – Traceable graphs
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