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COMBINATORICS
2002
82views more  COMBINATORICS 2002»
13 years 6 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»
13 years 6 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
JCO
2007
76views more  JCO 2007»
13 years 6 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
ESA
2007
Springer
188views Algorithms» more  ESA 2007»
14 years 26 days 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»
11 years 9 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