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JGT
2007
99views more  JGT 2007»
13 years 7 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»
13 years 2 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...
FOCS
1996
IEEE
13 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
IJAMCIGI
2010
94views more  IJAMCIGI 2010»
13 years 2 months ago
A Study of Tabu Search for Coloring Random 3-Colorable Graphs Around the Phase Transition
We present an experimental investigation of tabu search (TS) to solve the 3-coloring problem (3-COL). Computational results reveal that a basic TS algorithm is able to find proper ...
Jean-Philippe Hamiez, Jin-Kao Hao, Fred W. Glover
JCT
2008
96views more  JCT 2008»
13 years 7 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