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COMBINATORICS
2002
82views more  COMBINATORICS 2002»
14 years 11 months ago
The Directed Anti-Oberwolfach Solution: Pancyclic 2-Factorizations of Complete Directed Graphs of Odd Order
The directed anti-Oberwolfach problem asks for a 2-factorization (each factor has in-degree 1 and out-degree 1 for a total degree of two) of K2n+1, not with consistent cycle compo...
Brett Stevens
COMBINATORICA
1998
94views more  COMBINATORICA 1998»
14 years 11 months ago
The Shannon Capacity of a Union
For an undirected graph G = (V, E), let Gn denote the graph whose vertex set is V n in which two distinct vertices (u1, u2, . . . , un) and (v1, v2, . . . , vn) are adjacent iff ...
Noga Alon
91
Voted
JCO
2007
76views more  JCO 2007»
14 years 11 months ago
Wide diameters of de Bruijn graphs
Abstract The wide diameter of a graph is an important parameter to measure faulttolerance of interconnection network. This paper proves that for any two vertices in de Bruijn undir...
Jyhmin Kuo, Hung-Lin Fu
137
Voted
ESA
2007
Springer
188views Algorithms» more  ESA 2007»
15 years 5 months ago
Fast and Compact Oracles for Approximate Distances in Planar Graphs
We present an experimental evaluation of an approximate distance oracle recently suggested by Thorup [1] for undirected planar graphs. The oracle uses the existence of graph separa...
Laurent Flindt Muller, Martin Zachariasen
SODA
2012
ACM
205views Algorithms» more  SODA 2012»
13 years 2 months ago
Global minimum cuts in surface embedded graphs
We give a deterministic algorithm to find the minimum cut in a surface-embedded graph in near-linear time. Given an undirected graph embedded on an orientable surface of genus g,...
Jeff Erickson, Kyle Fox, Amir Nayyeri