120 search results - page 4 / 24 » Cycle lengths in sparse graphs |
DAM
2000
14 years 9 months ago
2000
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...
GC
2010
Springer
14 years 8 months ago
2010
Springer
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
106
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STACS
2005
Springer
15 years 3 months ago
2005
Springer
Cycle covering is a well-studied problem in computer science. In this paper, we develop approximation algorithms for variants of cycle covering problems which bound the size and/o...
CORR
2006
Springer
14 years 9 months ago
2006
Springer
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 ...
101
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COCOON
2007
Springer
15 years 3 months ago
2007
Springer
We investigate the maximum number of simple cycles and the maximum number of Hamiltonian cycles in a planar graph G with n vertices. Using the transfer matrix method we construct a...