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» Schaefer's theorem for graphs
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87
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DAM
2010
116views more  DAM 2010»
14 years 9 months ago
Minimum sum edge colorings of multicycles
In the minimum sum edge coloring problem, we aim to assign natural numbers to edges of a graph, so that adjacent edges receive different numbers, and the sum of the numbers assign...
Jean Cardinal, Vlady Ravelomanana, Mario Valencia-...
ENTCS
2008
103views more  ENTCS 2008»
14 years 9 months ago
Systematic Semantic Tableaux for PLTL
The better known methods of semantic tableaux for deciding satisfiability in propositional linear temporal logic generate graphs in addition to classical trees. The test of satisf...
Joxe Gaintzarain, Montserrat Hermo, Paqui Lucio, M...
73
Voted
JGT
2008
69views more  JGT 2008»
14 years 9 months ago
List colorings with measurable sets
The measurable list chromatic number of a graph G is the smallest number such that if each vertex v of G is assigned a set L(v) of measure in a fixed atomless measure space, the...
Jan Hladký, Daniel Král, Jean-S&eacu...
95
Voted
JCT
2006
110views more  JCT 2006»
14 years 9 months ago
Branch-width, parse trees, and monadic second-order logic for matroids
Abstract. We introduce "matroid parse trees" which, using only a limited amount of information at each node, can build up the vector representations of matroids of bounde...
Petr Hlinený
SODA
2012
ACM
205views Algorithms» more  SODA 2012»
12 years 12 months ago
Approximate duality of multicommodity multiroute flows and cuts: single source case
Given an integer h, a graph G = (V, E) with arbitrary positive edge capacities and k pairs of vertices (s1, t1), (s2, t2), . . . , (sk, tk), called terminals, an h-route cut is a ...
Petr Kolman, Christian Scheideler