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» Claw-free graphs. I. Orientable prismatic graphs
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JCT
2007
73views more  JCT 2007»
13 years 4 months ago
Claw-free graphs. I. Orientable prismatic graphs
Maria Chudnovsky, Paul D. Seymour
ENDM
2008
114views more  ENDM 2008»
13 years 5 months ago
Strong oriented chromatic number of planar graphs without cycles of specific lengths
A strong oriented k-coloring of an oriented graph G is a homomorphism from G to H having k vertices labelled by the k elements of an abelian additive group M, such that for any p...
Mickaël Montassier, Pascal Ochem, Alexandre P...
CATS
2008
13 years 6 months ago
Graph Classes and the Complexity of the Graph Orientation Minimizing the Maximum Weighted Outdegree
Given an undirected graph with edge weights, we are asked to find an orientation, i.e., an assignment of a direction to each edge, so as to minimize the weighted maximum outdegree...
Yuichi Asahiro, Eiji Miyano, Hirotaka Ono
COMBINATORICS
1999
80views more  COMBINATORICS 1999»
13 years 4 months ago
On the Theory of Pfaffian Orientations. I. Perfect Matchings and Permanents
Kasteleyn stated that the generating function of the perfect matchings of a graph of genus g may be written as a linear combination of 4g Pfaffians. Here we prove this statement. ...
Anna Galluccio, Martin Loebl
CATS
2006
13 years 6 months ago
Graph Orientation Algorithms to Minimize the Maximum Outdegree
We study the problem of orienting the edges of a weighted graph such that the maximum weighted outdegree of vertices is minimized. This problem, which has applications in the guar...
Yuichi Asahiro, Eiji Miyano, Hirotaka Ono, Kouhei ...