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IMCS/Publications/CSJM/Issues/CSJM v.23, n.1 (67), 2015/

Construction of a transitive orientation using B-stable subgraphs

Authors: Nicolae Grigoriu
Keywords: stable subgraph, B-stable subgraph, transitive orientation, graph factor.

Abstract

A special method for construction of transitive orientations of the undirected graph $G=(X;U)$ is proposed. The method uses an iterative procedure for factorization of graph $G$. Factorization procedure consists in replacing of a B-stable subgraph with a vertex. Transitive orientations are obtained by a polynomial time algorithm which is presented in the paper.

State University of Moldova
60 A. Mateevici, MD-2009, Chisinau, Republic of Moldova
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