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DAC
1999
ACM
14 years 8 months ago
Graph Coloring Algorithms for Fast Evaluation of Curtis Decompositions
Finding the minimum column multiplicity for a bound set of variables is an important problem in Curtis decomposition. To investigate this problem, we compared two graphcoloring pr...
Marek A. Perkowski, Rahul Malvi, Stan Grygiel, Mic...
DM
2006
79views more  DM 2006»
13 years 7 months ago
Conditional colorings of graphs
For an integer r > 0, a conditional (k, r)-coloring of a graph G is a proper k-coloring of the vertices of G such that every vertex of degree at least r in G will be adjacent t...
Hong-Jian Lai, Jianliang Lin, Bruce Montgomery, Ta...
ENDM
2002
107views more  ENDM 2002»
13 years 7 months ago
Edge-Colorings of Complete Graphs that Avoid Polychromatic Trees
Given a positive integer n and a family F of graphs, let R(n, F) denote the maximum number of colors in an edge-coloring of Kn such that no subgraph of Kn belonging to F has disti...
Tao Jiang, Douglas B. West
JCT
2002
93views more  JCT 2002»
13 years 7 months ago
Coloring Locally Bipartite Graphs on Surfaces
It is proved that there is a function f : N N such that the following holds. Let G be a graph embedded in a surface of Euler genus g with all faces of even size and with edge-wid...
Bojan Mohar, Paul D. Seymour
CP
2004
Springer
14 years 1 months ago
How Much Backtracking Does It Take to Color Random Graphs? Rigorous Results on Heavy Tails
Many backtracking algorithms exhibit heavy-tailed distributions, in which their running time is often much longer than their median. We analyze the behavior of two natural variant...
Haixia Jia, Cristopher Moore