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» Packing Cycles in Graphs
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DAM
2000
121views more  DAM 2000»
14 years 9 months ago
Chordality and 2-factors in Tough Graphs
A graph G is chordal if it contains no chordless cycle of length at least four and is k-chordal if a longest chordless cycle in G has length at most k. In this note it is proved t...
Douglas Bauer, Gyula Y. Katona, Dieter Kratsch, He...
DM
2007
86views more  DM 2007»
14 years 9 months ago
Short cycle connectivity
Short cycle connectivity is a generalization of ordinary connectivity—two vertices have to be connected by a sequence of short cycles, in which two consecutive cycles have at le...
Vladimir Batagelj, Matjaz Zaversnik
CORR
2008
Springer
104views Education» more  CORR 2008»
14 years 9 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
TALG
2010
83views more  TALG 2010»
14 years 4 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
82
Voted
STACS
2005
Springer
15 years 2 months ago
A Polynomial Time Algorithm for Minimum Cycle Basis in Directed Graphs
Abstract. We consider the problem of computing a minimum cycle basis in a directed graph G with m arcs and n vertices. The arcs of G have non-negative weights assigned to them. We ...
Telikepalli Kavitha, Kurt Mehlhorn