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WAOA
2005
Springer
170views Algorithms» more  WAOA 2005»
15 years 8 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»
15 years 2 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»
15 years 2 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
TALG
2010
83views more  TALG 2010»
14 years 9 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»
15 years 2 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