Construction of a transitive orientation using B-stable subgraphs

Grigoriu Nicolae

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2017-04-26 18:58

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519.17 (68)

Combinatorial analysis. Graph theory (115)

SM ISO690:2012

GRIGORIU, Nicolae. Construction of a transitive orientation using B-stable subgraphs. In: Computer Science Journal of Moldova, 2015, nr. 1(67), pp. 11-23. ISSN 1561-4042.

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Computer Science Journal of Moldova

Numărul 1(67) / 2015 / ISSN 1561-4042 /ISSNe 2587-4330

Construction of a transitive orientation using B-stable subgraphs

CZU: 519.17

Pag. 11-23

Grigoriu Nicolae

Moldova State University

Disponibil în IBN: 3 iunie 2015

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Rezumat

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.

Cuvinte-cheie
stable subgraph, B-stable subgraph, transitive orientation, graph factor.

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