The acyclic orientations of a graph are related to its chromatic polynomial to its reliability, and to certain hyperplane arrangements. In this paper, an algorithm for listing the acyclic orientations of a graph is presented. The algorithm is shown to require O(n) time per acyclic orientation generated. This is the most efficient algorithm known for generating acyclic orientations. (C) 1998 Academic Press.
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Univ Estado Rio de Janeiro, Inst Matemat & Estat, BR-20550900 Rio De Janeiro, BrazilUniv Estado Rio de Janeiro, Inst Matemat & Estat, BR-20550900 Rio De Janeiro, Brazil
Figueiredo, Rosa M. V.
Barbosa, Valmir C.
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Univ Estado Rio de Janeiro, COPPE, Programa Engn & Sistemas Comp, BR-21941972 Rio De Janeiro, BrazilUniv Estado Rio de Janeiro, Inst Matemat & Estat, BR-20550900 Rio De Janeiro, Brazil
Barbosa, Valmir C.
Maculan, Nelson
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Univ Estado Rio de Janeiro, COPPE, Programa Engn & Sistemas Comp, BR-21941972 Rio De Janeiro, BrazilUniv Estado Rio de Janeiro, Inst Matemat & Estat, BR-20550900 Rio De Janeiro, Brazil
Maculan, Nelson
de Souza, Cid C.
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Univ Estadual Campinas, Inst Comp, BR-13084971 Campinas, SP, BrazilUniv Estado Rio de Janeiro, Inst Matemat & Estat, BR-20550900 Rio De Janeiro, Brazil