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Discussiones Mathematicae Graph Theory 29(2) (2009) 293-312
DOI: https://doi.org/10.7151/dmgt.1448

ON NORMAL PARTITIONS IN CUBIC GRAPHS

Jean-Luc Fouquet  and  Jean-Marie Vanherpe

L.I.F.O., Faculté des Sciences, B.P. 6759
Université d'Orléans
45067 Orléans Cedex 2, France

Abstract

A normal partition of the edges of a cubic graph is a partition into trails (no repeated edge) such that each vertex is the end vertex of exactly one trail of the partition. We investigate this notion and give some results and problems.

Keywords: cubic graph; edge-partition.

2000 Mathematics Subject Classification: 05C70, 05C38.

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Received 3 December 2007
Revised 20 June 2008
Accepted 17 December 2008