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» Acyclic vertex coloring of graphs of maximum degree 5
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DM
2010
78views more  DM 2010»
13 years 7 months ago
Injective colorings of sparse graphs
Let Mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if Mad(G) 5 2 , then i(G) + 1; sim...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
ENDM
2006
119views more  ENDM 2006»
13 years 7 months ago
The incidence game chromatic number
We introduce the incidence game chromatic number which unifies the ideas of game chromatic number and incidence coloring number of an undirected graph. For kdegenerate graphs with...
Stephan Dominique Andres
SPAA
2009
ACM
14 years 2 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
ENDM
2007
88views more  ENDM 2007»
13 years 7 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...
CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 6 months ago
Locally identifying coloring of graphs
Let G = (V, E) be a graph. Let c : V → N be a vertex-coloring of the vertices of G. For any vertex u, we denote by N[u] its closed neighborhood (u and its adjacent vertices), an...
Louis Esperet, Sylvain Gravier, Mickaël Monta...