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WAOA
2005
Springer
170views Algorithms» more  WAOA 2005»
15 years 5 months ago
On Approximating Restricted Cycle Covers
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set...
Bodo Manthey
DCG
2010
88views more  DCG 2010»
14 years 11 months ago
Computing the Shortest Essential Cycle
An essential cycle on a surface is a simple cycle that cannot be continuously deformed to a point or a single boundary. We describe algorithms to compute the shortest essential cy...
Jeff Erickson, Pratik Worah
JSAT
2008
89views more  JSAT 2008»
14 years 11 months ago
Towards a Classification of Hamiltonian Cycles in the 6-Cube
In this paper, we consider the problem of classifying Hamiltonian cycles in a binary hypercube. Previous work proposed a classification of these cycles using the edge representati...
Yury Chebiryak, Daniel Kroening
89
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TALG
2010
83views more  TALG 2010»
14 years 6 months ago
Finding shortest contractible and shortest separating cycles in embedded graphs
We give a polynomial-time algorithm to find a shortest contractible cycle (i.e. a closed walk without repeated vertices) in a graph embedded in a surface. This answers a question ...
Sergio Cabello
CORR
2008
Springer
104views Education» more  CORR 2008»
14 years 11 months ago
De Bruijn Graph Homomorphisms and Recursive De Bruijn Sequences
This paper presents a method to find new De Bruijn cycles based on ones of lesser order. This is done by mapping a De Bruijn cycle to several vertex disjoint cycles in a De Bruijn ...
Abbas Alhakim, Mufutau Akinwande