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WAOA
2005
Springer
170views Algorithms» more  WAOA 2005»
14 years 2 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
IPL
2007
74views more  IPL 2007»
13 years 8 months ago
Minimum cycle bases of direct products of complete graphs
This paper presents a construction of a minimum cycle basis for the direct product of two complete graphs on three or more vertices. With the exception of two special cases, such ...
Richard Hammack
ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
13 years 8 months ago
Approximating Maximum Weight Cycle Covers in Directed Graphs with Weights Zero and One
A cycle cover of a graph is a spanning subgraph each node of which is part of exactly one simple cycle. A k-cycle cover is a cycle cover where each cycle has length at least k. Gi...
Markus Bläser, Bodo Manthey
COMPGEOM
2010
ACM
14 years 1 months ago
Finding shortest non-trivial cycles in directed graphs on surfaces
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
Sergio Cabello, Éric Colin de Verdiè...
COMBINATORICS
2007
85views more  COMBINATORICS 2007»
13 years 8 months ago
Maximum Cardinality 1-Restricted Simple 2-Matchings
A simple 2-matching in a graph is a subgraph all of whose nodes have degree 1 or 2. A simple 2-matching is called k-restricted if every connected component has > k edges. We co...
David Hartvigsen