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ESA
2004
Springer
137views Algorithms» more  ESA 2004»
14 years 1 months ago
Fast 3-Coloring Triangle-Free Planar Graphs
We show the first o(n2 ) algorithm for coloring vertices of trianglefree planar graphs using three colors. The time complexity of the algorithm is O(n log n). Our approach can be ...
Lukasz Kowalik
SAC
2010
ACM
14 years 2 months ago
MSP algorithm: multi-robot patrolling based on territory allocation using balanced graph partitioning
This article addresses the problem of efficient multi-robot patrolling in a known environment. The proposed approach assigns regions to each mobile agent. Every region is represen...
David Portugal, Rui Rocha
ESA
2008
Springer
142views Algorithms» more  ESA 2008»
13 years 9 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
JCO
2007
130views more  JCO 2007»
13 years 7 months ago
On edge orienting methods for graph coloring
We consider the problem of orienting the edges of a graph so that the length of a longest path in the resulting digraph is minimum. As shown by Gallai, Roy and Vitaver, this edge ...
Bernard Gendron, Alain Hertz, Patrick St-Louis
WEA
2007
Springer
116views Algorithms» more  WEA 2007»
14 years 1 months ago
Optimal Edge Deletions for Signed Graph Balancing
The Balanced Subgraph problem (edge deletion variant) asks for a 2-coloring of a graph that minimizes the inconsistencies with given edge labels. It has applications in social netw...
Falk Hüffner, Nadja Betzler, Rolf Niedermeier