Sciweavers

1749 search results - page 2 / 350
» Conditional colorings of graphs
Sort
View
JCT
2008
81views more  JCT 2008»
13 years 5 months ago
Algebraic characterization of uniquely vertex colorable graphs
Abstract. The study of graph vertex colorability from an algebraic perspective has introduced novel techniques and algorithms into the field. For instance, it is known that k-color...
Christopher J. Hillar, Troels Windfeldt
FOCS
2006
IEEE
13 years 11 months ago
A simple condition implying rapid mixing of single-site dynamics on spin systems
Spin systems are a general way to describe local interactions between nodes in a graph. In statistical mechanics, spin systems are often used as a model for physical systems. In c...
Thomas P. Hayes
DCC
2007
IEEE
14 years 5 months ago
Distributed Functional Compression through Graph Coloring
We consider the distributed computation of a function of random sources with minimal communication. Specifically, given two discrete memoryless sources, X and Y , a receiver wishe...
Devavrat Shah, Muriel Médard, Sidharth Jagg...
JGT
2010
81views more  JGT 2010»
13 years 3 months ago
Cycles and paths in edge-colored graphs with given degrees
Sufficient degree conditions for the existence of properly edge-colored cycles and paths in edge-colored graphs, multigraphs and random graphs are inverstigated. In particular, we...
A. Abouelaoualim, Kinkar Chandra Das, Wenceslas Fe...
TIT
2010
138views Education» more  TIT 2010»
13 years 5 days ago
Functional compression through graph coloring
Motivated by applications to sensor networks and privacy preserving databases, we consider the problem of functional compression. The objective is to separately compress possibly c...
Vishal Doshi, Devavrat Shah, Muriel Médard,...