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» Lattices and Maximum Flow Algorithms in Planar Graphs
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JGT
2008
77views more  JGT 2008»
13 years 8 months ago
List-coloring the square of a subcubic graph
The square G2 of a graph G is the graph with the same vertex set as G and with two vertices adjacent if their distance in G is at most 2. Thomassen showed that for a planar graph ...
Daniel W. Cranston, Seog-Jin Kim
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 years 1 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, ...
DCG
2008
82views more  DCG 2008»
13 years 8 months ago
Schnyder Woods and Orthogonal Surfaces
In this paper we study connections between planar graphs, Schnyder woods, and orthogonal surfaces. Schnyder woods and the face counting approach have important applications in gra...
Stefan Felsner, Florian Zickfeld
DAM
2006
100views more  DAM 2006»
13 years 8 months ago
A combinatorial algorithm for weighted stable sets in bipartite graphs
Abstract. Computing a maximum weighted stable set in a bipartite graph is considered wellsolved and usually approached with preflow-push, Ford-Fulkerson or network simplex algorith...
Ulrich Faigle, Gereon Frahling
DAM
2008
131views more  DAM 2008»
13 years 8 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...