Algebraic properties of edge ideals via combinatorial topology.
Dochtermann, Anton, Engström, Alexander (2009)
The Electronic Journal of Combinatorics [electronic only]
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Dochtermann, Anton, Engström, Alexander (2009)
The Electronic Journal of Combinatorics [electronic only]
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Ľubica Šándorová, Marián Trenkler (1991)
Mathematica Bohemica
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The paper is concerned with the existence of non-negative or positive solutions to , where is the vertex-edge incidence matrix of an undirected graph. The paper gives necessary and sufficient conditions for the existence of such a solution.
Villarreal, Rafael H. (2007)
Revista Colombiana de Matemáticas
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Flaxman, Abraham D., Hoory, Shlomo (2007)
The Electronic Journal of Combinatorics [electronic only]
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P. J. McCarthy (1978)
Czechoslovak Mathematical Journal
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Kashiwabara, Kenji (2009)
The Electronic Journal of Combinatorics [electronic only]
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Zsolt Tuza (2013)
Discussiones Mathematicae Graph Theory
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Given a graph G = (V,E) and a set Lv of admissible colors for each vertex v ∈ V (termed the list at v), a list coloring of G is a (proper) vertex coloring ϕ : V → S v2V Lv such that ϕ(v) ∈ Lv for all v ∈ V and ϕ(u) 6= ϕ(v) for all uv ∈ E. If such a ϕ exists, G is said to be list colorable. The choice number of G is the smallest natural number k for which G is list colorable whenever each list contains at least k colors. In this note we initiate the study of graphs in which the choice...
Goff, Michael (2009)
The Electronic Journal of Combinatorics [electronic only]
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