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JGT
2007
99views more  JGT 2007»
15 years 6 months ago
Backbone colorings for graphs: Tree and path backbones
We introduce and study backbone colorings, a variation on classical vertex colorings: Given a graph G = (V, E) and a spanning subgraph H of G (the backbone of G), a backbone color...
Hajo Broersma, Fedor V. Fomin, Petr A. Golovach, G...
OL
2010
140views more  OL 2010»
15 years 1 months ago
Approximation algorithms for finding and partitioning unit-disk graphs into co-k-plexes
This article studies a degree-bounded generalization of independent sets called co-k-plexes. Constant factor approximation algorithms are developed for the maximum co-k-plex probl...
Balabhaskar Balasundaram, Shyam Sundar Chandramoul...
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FOCS
1996
IEEE
15 years 11 months ago
Path Coloring on the Mesh
In the minimum path coloring problem, we are given a list of pairs of vertices of a graph. We are asked to connect each pair by a colored path. Paths of the same color must be edg...
Yuval Rabani
JCT
2008
96views more  JCT 2008»
15 years 6 months ago
Graphs with full rank 3-color matrix and few 3-colorings
We exhibit a a counterexample to a conjecture of Thomassen stating that the number of distinct 3-colorings of every graph whose 3color matrix has full column rank is superpolynomi...
Serguei Norine, Jean-Sébastien Sereni
DMTCS
2011
261views Mathematics» more  DMTCS 2011»
14 years 6 months ago
An expected polynomial time algorithm for coloring 2-colorable 3-graphs
Abstract. We present an algorithm that for 2-colorable 3-uniform hypergraphs, finds a 2-coloring in average running time O(n5 log2 n).
Yury Person, Mathias Schacht