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» Almost Given Length Cycles in Digraphs
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GC
2008
Springer
13 years 4 months ago
Almost Given Length Cycles in Digraphs
For a directed graph G without loops or parallel edges, let (G) denote the size of the smallest feedback arc set, i.e., the smallest subset X E(G) such that G \ X has no directed...
Raphael Yuster
COMBINATORICS
2006
120views more  COMBINATORICS 2006»
13 years 4 months ago
Cycle Lengths in a Permutation are Typically Poisson
The set of cycle lengths of almost all permutations in Sn are "Poisson distributed": we show that this remains true even when we restrict the number of cycles in the per...
Andrew Granville
ARSCOM
1998
104views more  ARSCOM 1998»
13 years 4 months ago
A Note on the Road-Coloring Conjecture
Some results relating to the road-coloring conjecture of Alder, Goodwyn, and Weiss, which give rise to an O(n2) algorithm to determine whether or not a given edge-coloring of a gra...
E. Gocka, Walter W. Kirchherr, Edward F. Schmeiche...
FOCS
1994
IEEE
13 years 8 months ago
Finding the k Shortest Paths
We describe algorithms for finding the k shortest paths connecting a given pair of vertices in a digraph (allowing cycles). Our algorithms output an implicit representation of the...
David Eppstein
BC
2000
88views more  BC 2000»
13 years 4 months ago
Legged insects select the optimal locomotor pattern based on the energetic cost
The gait transition in legged animals has attracted many researchers, and its relation to metabolic cost and mechanical work has been discussed in recent decades. We assumed that t...
Jun Nishii