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COMBINATORICS
2000
73views more  COMBINATORICS 2000»
13 years 7 months ago
Note on Gy. Elekes's Conjectures Concerning Unavoidable Patterns in Proper Colorings
A counterexample is presented to Gy. Elekes's conjecture concerning the existence of long 2-colored paths in properly colored graphs. A modified version of the conjecture is ...
Vera Rosta
AAIM
2005
Springer
122views Algorithms» more  AAIM 2005»
14 years 1 months ago
Complexity of Minimal Tree Routing and Coloring
Let G be a undirected connected graph. Given a set of g groups each being a subset of V (G), tree routing and coloring is to produce g trees in G and assign a color to each of them...
Xujin Chen, Xiao-Dong Hu, Xiaohua Jia
JCT
2006
80views more  JCT 2006»
13 years 7 months ago
Extending precolorings to circular colorings
Fix positive integers k , d , k, d such that k /d > k/d 2. If P is a set of vertices in a (k, d)-colorable graph G, and any two vertices of P are separated by distance at leas...
Michael O. Albertson, Douglas B. West
APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
14 years 2 months ago
Approximations for Aligned Coloring and Spillage Minimization in Interval and Chordal Graphs
We consider the problem of aligned coloring of interval and chordal graphs. These problems have substantial applications to register allocation in compilers and have recently been ...
Douglas E. Carroll, Adam Meyerson, Brian Tagiku
PDPTA
2003
13 years 9 months ago
A Design for Node Coloring and 1-Fair Alternator on de Bruijn Networks
In this paper, we study the coloring problem for the undirected binary de Bruijn interconnection network. The coloring scheme is simple and fast. We propose the coloring algorithm...
Jyh-Wen Mao, Chang-Biau Yang