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» The k-in-a-tree problem for graphs of girth at least k
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DAM
2010
81views more  DAM 2010»
13 years 5 months ago
The k-in-a-tree problem for graphs of girth at least k
For all integers k 3, we give an O(n4 ) time algorithm for the problem whose instance is a graph G of girth at least k together with k vertices and whose question is "Does G...
W. Liu, Nicolas Trotignon
ARSCOM
2008
65views more  ARSCOM 2008»
13 years 5 months ago
Strongly pan-factorial property in cages
A (k; g)-graph is a k-regular graph with girth g. A (k; g)-cage is a (k; g)-graph with the least number of vertices. In this note, we show that (k; g)-cage has an r-factor of girt...
Guizhen Liu, Qinglin Yu
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
FSTTCS
2010
Springer
13 years 2 months ago
The effect of girth on the kernelization complexity of Connected Dominating Set
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
Neeldhara Misra, Geevarghese Philip, Venkatesh Ram...
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