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» Lower bounds on the obstacle number of graphs
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JGAA
2006
127views more  JGAA 2006»
13 years 7 months ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...
TPDS
1998
110views more  TPDS 1998»
13 years 7 months ago
On Exploiting Task Duplication in Parallel Program Scheduling
—One of the main obstacles in obtaining high performance from message-passing multicomputer systems is the inevitable communication overhead which is incurred when tasks executin...
Ishfaq Ahmad, Yu-Kwong Kwok
COMBINATORICS
1998
99views more  COMBINATORICS 1998»
13 years 7 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
SODA
2008
ACM
70views Algorithms» more  SODA 2008»
13 years 9 months ago
Optimal universal graphs with deterministic embedding
Let H be a finite family of graphs. A graph G is H-universal if it contains a copy of each H H as a subgraph. Let H(k, n) denote the family of graphs on n vertices with maximum d...
Noga Alon, Michael R. Capalbo
DAM
2011
13 years 2 months ago
A study of 3-arc graphs
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a graph ...
Martin Knor, Guangjun Xu, Sanming Zhou