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» Packing Cycles in Graphs
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DAM
2000
121views more  DAM 2000»
15 years 4 days 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»
15 years 8 days 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»
15 years 12 days 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
99
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TALG
2010
83views more  TALG 2010»
14 years 7 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
STACS
2005
Springer
15 years 5 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