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» On cycles through specified vertices
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DM
2008
95views more  DM 2008»
13 years 4 months ago
Forbidden subgraphs and the existence of paths and cycles passing through specified vertices
In [2], Duffus et al. showed that every connected graph G which contains no induced subgraph isomorphic to a claw or a net is traceable. And they also showed that if a 2-connected...
Jun Fujisawa, Katsuhiro Ota, Takeshi Sugiyama, Mas...
DM
2006
60views more  DM 2006»
13 years 4 months ago
On cycles through specified vertices
For a set X of vertices of a graph fulfilling local connectedness conditions the existence of a cycle containing X is proved. AMS classification: 05C38, 05C45, 05C35
Tobias Gerlach, Frank Göring, Jochen Harant, ...
JCT
2006
53views more  JCT 2006»
13 years 4 months ago
On the number of factorizations of a full cycle
We give a new expression for the number of factorizations of a full cycle into an ordered product of permutations of specified cycle types. This is done through purely algebraic me...
John Irving
DM
2008
129views more  DM 2008»
13 years 4 months ago
On 3-regular 4-ordered graphs
A simple graph G is k-ordered (respectively, k-ordered hamiltonian), if for any sequence of k distinct vertices v1, . . . , vk of G there exists a cycle (respectively, hamiltonian...
Karola Mészáros