We provide conditions on the minimum degree, the girth and the length of a longest path for a digraph to have the following property: Every longest path intersects every maximal independent set. Digraphs with this property satisfy, in a strong sense, the Laborde-Payan-Xuong conjecture (see [10]).
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Univ Fed Rio de Janeiro, COPPE Sistemas, Rio De Janeiro, Brazil
Univ Fed Rio de Janeiro, Inst Matemat, Rio De Janeiro, BrazilUniv Fed Rio de Janeiro, COPPE Sistemas, Rio De Janeiro, Brazil
Cerioli, Marcia R.
Fernandes, Cristina G.
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Univ Sao Paulo, Dept Ciencia Comp, Sao Paulo, BrazilUniv Fed Rio de Janeiro, COPPE Sistemas, Rio De Janeiro, Brazil
Fernandes, Cristina G.
Gomez, Renzo
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Univ Sao Paulo, Dept Ciencia Comp, Sao Paulo, BrazilUniv Fed Rio de Janeiro, COPPE Sistemas, Rio De Janeiro, Brazil
Gomez, Renzo
Gutierrez, Juan
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Univ Sao Paulo, Dept Ciencia Comp, Sao Paulo, BrazilUniv Fed Rio de Janeiro, COPPE Sistemas, Rio De Janeiro, Brazil
Gutierrez, Juan
Lima, Paloma T.
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Univ Bergen, Dept Informat, Bergen, NorwayUniv Fed Rio de Janeiro, COPPE Sistemas, Rio De Janeiro, Brazil
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Univ Memphis, Dept Math Sci, Memphis, TN 38152 USAUniv Memphis, Dept Math Sci, Memphis, TN 38152 USA
Faudree, Ralph J.
Gould, Ronald J.
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Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USAUniv Memphis, Dept Math Sci, Memphis, TN 38152 USA
Gould, Ronald J.
Jacobson, Michael S.
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Univ Colorado Denver, Dept Math & Stat Sci, Denver, CO 80217 USAUniv Memphis, Dept Math Sci, Memphis, TN 38152 USA
Jacobson, Michael S.
West, Douglas B.
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Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
Univ Illinois, Dept Math, 1409 W Green St, Urbana, IL 61801 USAUniv Memphis, Dept Math Sci, Memphis, TN 38152 USA