DMGT

Discussiones Mathematicae Graph Theory 24(3) (2004) 431-441
DOI: https://doi.org/10.7151/dmgt.1242

EVEN [a,b]-FACTORS IN GRAPHS

Mekkia Kouider

Laboratoire de Recherche en Informatique
UMR 8623 Bât. 490, Université Paris Sud
91405 Orsay, France
e-mail: km@lri.fr

Preben Dahl Vestergaard

Department of Mathematics
Aalborg University, Fredrik Bajers Vej 7G
DK-9220 Aalborg Øst, Denmark
e-mail: pdv@math.aau.dk

Abstract

Let a and b be integers 4 ≤ a ≤ b. We give simple, sufficient conditions for graphs to contain an even [a,b]-factor. The conditions are on the order and on the minimum degree, or on the edge-connectivity of the graph.

Keywords: even factor, eulerian, spanning subgraph.

2000 Mathematics Subject Classification: 05C70.

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Received 22 April 2003
Revised 9 October 2003