116 search results - page 5 / 24 » A Note on Cycle Lengths in Graphs |
GC
2010
Springer
14 years 10 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...
JGT
2007
14 years 11 months ago
2007
A graph is uniquely hamiltonian if it contains exactly one hamiltonian cycle. In this note we prove that there are no r-regular uniquely hamiltonian graphs when r > 22. This im...
DM
1998
14 years 11 months ago
1998
It has been shown that there is a Hamilton cycle in every connected Cayley graph on any group G whose commutator subgroup is cyclic of prime-power order. This note considers conne...
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STACS
2005
Springer
15 years 5 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 11 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 ...