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» The k-in-a-tree problem for graphs of girth at least k
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STACS
2010
Springer
14 years 8 days 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
ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
13 years 5 months ago
Algorithmic Aspects of Acyclic Edge Colorings
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
Noga Alon, Ayal Zaks
CORR
2008
Springer
103views Education» more  CORR 2008»
13 years 5 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
COMBINATORICS
1998
99views more  COMBINATORICS 1998»
13 years 5 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
CPC
2006
84views more  CPC 2006»
13 years 5 months ago
Splitter Theorems for Cubic Graphs
Let ;k g be the class of k-connected cubic graphs of girth at least g. For several choices of k and g, we determine a set Ok g of graph operations, for which, if G and H are graph...
Guoli Ding, Jinko Kanno