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ALGORITHMICA
2004
150views more  ALGORITHMICA 2004»
13 years 4 months ago
Sum Coloring of Bipartite Graphs with Bounded Degree
We consider the Chromatic Sum Problem on bipartite graphs which appears to be much harder than the classical Chromatic Number Problem. We prove that the Chromatic Sum Problem is NP...
Michal Malafiejski, Krzysztof Giaro, Robert Jancze...
ESA
2008
Springer
142views Algorithms» more  ESA 2008»
13 years 6 months ago
Edge Coloring and Decompositions of Weighted Graphs
We consider two generalizations of the edge coloring problem in bipartite graphs. The first problem we consider is the weighted bipartite edge coloring problem where we are given a...
Uriel Feige, Mohit Singh
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
13 years 10 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
COMBINATORICA
1999
89views more  COMBINATORICA 1999»
13 years 4 months ago
A Sublinear Bipartiteness Tester for Bounded Degree Graphs
We present a sublinear-time algorithm for testing whether a bounded degree graph is bipartite or far from being bipartite. Graphs are represented by incidence lists of bounded len...
Oded Goldreich, Dana Ron
SIAMDM
2008
148views more  SIAMDM 2008»
13 years 4 months ago
A New Algorithm for On-line Coloring Bipartite Graphs
We first show that for any bipartite graph H with at most five vertices, there exists an on-line competitive algorithm for the class of H-free bipartite graphs. We then analyze th...
Hajo Broersma, Agostino Capponi, Daniël Paulu...