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ENDM
2007
88views more  ENDM 2007»
14 years 11 months ago
Graph coloring with no large monochromatic components
For a graph G and an integer t we let mcct(G) be the smallest m such that there exists a coloring of the vertices of G by t colors with no monochromatic connected subgraph having ...
Nathan Linial, Jirí Matousek, Or Sheffet, G...
SPAA
2009
ACM
15 years 6 months ago
Weak graph colorings: distributed algorithms and applications
We study deterministic, distributed algorithms for two weak variants of the standard graph coloring problem. We consider defective colorings, i.e., colorings where nodes of a colo...
Fabian Kuhn
EJC
2008
14 years 12 months ago
Coloring squares of planar graphs with girth six
Wang and Lih conjectured that for every g 5, there exists a number M(g) such that the square of a planar graph G of girth at least g and maximum degree M(g) is (+1)-colorable. ...
Zdenek Dvorak, Daniel Král, Pavel Nejedl&ya...
JGT
2007
85views more  JGT 2007»
14 years 11 months ago
Coloring quasi-line graphs
A graph G is a quasi-line graph if for every vertex v, the set of neighbors of v can be expressed as the union of two cliques. The class of quasi-line graphs is a proper superset ...
Maria Chudnovsky, Alexandra Ovetsky
FOCS
2004
IEEE
15 years 3 months ago
Randomly Coloring Constant Degree Graphs
We study a simple Markov chain, known as the Glauber dynamics, for generating a random k-coloring of a n-vertex graph with maximum degree . We prove that, for every > 0, the d...
Martin E. Dyer, Alan M. Frieze, Thomas P. Hayes, E...