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» Coloring squares of planar graphs with girth six
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EJC
2008
13 years 5 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...
GC
2002
Springer
13 years 4 months ago
n-Tuple Coloring of Planar Graphs with Large Odd Girth
The main result of the papzer is that any planar graph with odd girth at least 10k
William Klostermeyer, Cun-Quan Zhang
JGT
2008
77views more  JGT 2008»
13 years 4 months ago
List-coloring the square of a subcubic graph
The square G2 of a graph G is the graph with the same vertex set as G and with two vertices adjacent if their distance in G is at most 2. Thomassen showed that for a planar graph ...
Daniel W. Cranston, Seog-Jin Kim
JGT
2006
98views more  JGT 2006»
13 years 4 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li
CORR
2007
Springer
116views Education» more  CORR 2007»
13 years 4 months ago
Frugal Colouring of Graphs
A k-frugal colouring of a graph G is a proper colouring of the vertices of G such that no colour appears more than k times in the neighbourhood of a vertex. This type of colouring...
Omid Amini, Louis Esperet, Jan van den Heuvel