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STACS
2010
Springer
15 years 5 months ago
Large-Girth Roots of Graphs
We study the problem of recognizing graph powers and computing roots of graphs. We provide a polynomial time recognition algorithm for r-th powers of graphs of girth at least 2r + ...
Anna Adamaszek, Michal Adamaszek
CORR
2008
Springer
103views Education» more  CORR 2008»
14 years 10 months ago
Generating Random Graphs with Large Girth
We present a simple and efficient algorithm for randomly generating simple graphs without small cycles. These graphs can be used to design high performance Low-Density Parity-Chec...
Mohsen Bayati, Andrea Montanari, Amin Saberi
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
78
Voted
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
COMBINATORICS
1998
99views more  COMBINATORICS 1998»
14 years 10 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