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2011 | 31 | 4 | 791-820
Tytuł artykułu

On monochromatic paths and bicolored subdigraphs in arc-colored tournaments

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Consider an arc-colored digraph. A set of vertices N is a kernel by monochromatic paths if all pairs of distinct vertices of N have no monochromatic directed path between them and if for every vertex v not in N there exists n ∈ N such that there is a monochromatic directed path from v to n. In this paper we prove different sufficient conditions which imply that an arc-colored tournament has a kernel by monochromatic paths. Our conditions concerns to some subdigraphs of T and its quasimonochromatic and bicolor coloration. We also prove that our conditions are not mutually implied and that they are not implied by those known previously. Besides some open problems are proposed.
Słowa kluczowe
Wydawca
Rocznik
Tom
31
Numer
4
Strony
791-820
Opis fizyczny
Daty
wydano
2011
otrzymano
2007-09-20
poprawiono
2010-12-08
zaakceptowano
2010-12-08
Twórcy
  • Instituto de Matemáticas, U.N.A.M. Área de la investigación científica, Circuito Exterior, Ciudad Universitaria, Coyoacán 04510, México, D.F. México
  • Instituto de Matemáticas, U.N.A.M. Área de la investigación científica, Circuito Exterior, Ciudad Universitaria, Coyoacán 04510, México, D.F. México
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1580
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