## Abstract In 1983, the second author [D. Marušič, Ars Combinatoria 16B (1983), 297–302] asked for which positive integers __n__ there exists a non‐Cayley vertex‐transitive graph on __n__ vertices. (The term __non‐Cayley numbers__ has later been given to such integers.) Motivated by this problem,
✦ LIBER ✦
Efficient domination in cubic vertex-transitive graphs
✍ Scribed by Martin Knor; Primož Potočnik
- Book ID
- 119233251
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 307 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
On cubic non-Cayley vertex-transitive gr
✍
Klavdija Kutnar,; Dragan Marušič;; Cui Zhang
📂
Article
📅
2011
🏛
John Wiley and Sons
🌐
English
⚖ 197 KB
Cubic vertex-transitive graphs of order
✍
Jin-Xin Zhou; Yan-Quan Feng
📂
Article
📅
2010
🏛
John Wiley and Sons
🌐
English
⚖ 166 KB
A graph is vertex-transitive or symmetric if its automorphism group acts transitively on vertices or ordered adjacent pairs of vertices of the graph, respectively. Let G be a finite group and S a subset of G such that 1 / ∈ S and S = {s -1 | s ∈ S}. The Cayley graph Cay(G, S) on G with respect to S
Constructing cubic edge- but not vertex-
✍
Dragan Marušič
📂
Article
📅
2000
🏛
John Wiley and Sons
🌐
English
⚖ 118 KB
👁 1 views
Cubic vertex-transitive graphs on up to
✍
Primož Potočnik; Pablo Spiga; Gabriel Verret
📂
Article
📅
2013
🏛
Elsevier Science
🌐
English
⚖ 295 KB
Restrained domination in cubic graphs
✍
Johannes H. Hattingh; Ernst J. Joubert
📂
Article
📅
2010
🏛
Springer US
🌐
English
⚖ 500 KB
Long cycles in vertex-transitive graphs
✍
László Babai
📂
Article
📅
1979
🏛
John Wiley and Sons
🌐
English
⚖ 192 KB
## Abstract We prove that every connected vertex‐transitive graph on __n__ ≥ 4 vertices has a cycle longer than (3__n__)^1/2^. The correct order of magnitude of the longest cycle seems to be a very hard question.