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INFORMATICA, 2007, Vol. 18, No. 3, 457-462
© Institute of Mathematics and Informatics,

ISSN 0868-4952

Recognition Algorithm for Diamond-Free Graphs

Mihai TALMACIU, Elena NECHITA

Department of Mathematics and Informatics, University of Bacau 8 Spiru Haret str., 600114 Bacau, Romania E-mail: mihaitalmaciu@yahoo.com, elenechita@yahoo.com

Abstract

In this paper we recall the notion of weakly decomposition, we recall some necessary and sufficient conditions for a graph to admit such a decomposition, we introduce the recognition algorithm for the diamond-free graphs which keeps the combinatorial structure of the graph by means of the decomposition, as well as an easy possibility to determine the clique number for the diamond-free graphs.

Keywords:

diamond graph, weakly decomposition, recognition algorithm

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