Sciweavers

8 search results - page 1 / 2
» Constructions for Cubic Graphs with Large Girth
Sort
View
107
Voted
COMBINATORICS
1998
99views more  COMBINATORICS 1998»
14 years 9 months ago
Constructions for Cubic Graphs with Large Girth
The aim of this paper is to give a coherent account of the problem of constructing cubic graphs with large girth. There is a well-defined integer µ0(g), the smallest number of v...
Norman Biggs
100
Voted
GC
2008
Springer
14 years 10 months ago
Domination in Graphs of Minimum Degree at least Two and Large Girth
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
Christian Löwenstein, Dieter Rautenbach
DM
2010
131views more  DM 2010»
14 years 10 months ago
On a construction of graphs with high chromatic capacity and large girth
The chromatic capacity of a graph G; CAP (G) ; is the largest integer k such that there is a k-colouring of the edges of G such that when the vertices of G are coloured with the s...
Bing Zhou
CPC
2007
112views more  CPC 2007»
14 years 10 months ago
Graphs with Large Girth Not Embeddable in the Sphere
In 1972, M. Rosenfeld asked if every triangle-free graph could be embedded in the unit sphere Sd in such a way that two vertices joined by an edge have distance more than √ 3 (i...
Pierre Charbit, Stéphan Thomassé
113
Voted
FSTTCS
2010
Springer
14 years 8 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...