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» On cycles through specified vertices
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DM
2008
95views more  DM 2008»
14 years 9 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...
54
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DM
2006
60views more  DM 2006»
14 years 9 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, ...
JGT
2008
61views more  JGT 2008»
14 years 9 months ago
Cycles passing through k + 1 vertices in k-connected graphs
Jun Fujisawa, Tomoki Yamashita
66
Voted
JCT
2006
53views more  JCT 2006»
14 years 9 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
70
Voted
DM
2008
129views more  DM 2008»
14 years 9 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