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» The k-in-a-tree problem for graphs of girth at least k
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108
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DAM
2010
81views more  DAM 2010»
15 years 10 days 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»
15 years 12 days 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
88
Voted
GC
2002
Springer
15 years 1 days 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
131
Voted
FSTTCS
2010
Springer
14 years 10 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»
15 years 7 days 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