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DM
2007
86views more  DM 2007»
15 years 1 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»
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
TALG
2010
83views more  TALG 2010»
14 years 8 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
JCO
2007
74views more  JCO 2007»
15 years 1 months ago
Maximum cyclic 4-cycle packings of the complete multipartite graph
A graph G is said to be m-sufficient if m is not exceeding the order of G, each vertex of G is of even degree, and the number of edges in G is a multiple of m. A complete multipar...
Shung-Liang Wu, Hung-Lin Fu
STACS
2005
Springer
15 years 7 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