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» Coloring powers of planar graphs
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DM
2010
78views more  DM 2010»
14 years 11 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
CORR
2010
Springer
134views Education» more  CORR 2010»
14 years 10 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...
ESA
2007
Springer
113views Algorithms» more  ESA 2007»
15 years 6 months ago
Distance Coloring
Given a graph G = (V, E), a (d, k)-coloring is a function from the vertices V to colors {1, 2, . . . , k} such that any two vertices within distance d of each other are assigned di...
Alexa Sharp
IMCSIT
2010
14 years 9 months ago
Efficient Coloring of Wireless Ad Hoc Networks With Diminished Transmitter Power
In our work we present a new approach to the problem of channel assignment in Wireless Ad Hoc Network. We introduce a new algorithm which works in distributed model of computations...
Krzysztof Krzywdzinski
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...