Title:
|
Bounds of lengths of open Hamiltonian walks (English) |
Author:
|
Vacek, Pavel |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
28 |
Issue:
|
1 |
Year:
|
1992 |
Pages:
|
11-16 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
Summary:
|
If $G$ is a graph, an open Hamiltonian walk is any open sequence of edges of minimal length which includes every vertex of $G$. In this paper bounds of lengths of open Hamiltonian walks are studied. (English) |
Keyword:
|
graph |
Keyword:
|
tree |
Keyword:
|
Hamiltonian path |
Keyword:
|
open Hamiltonian walk |
Keyword:
|
diameter of graph |
MSC:
|
05C38 |
MSC:
|
05C45 |
idZBL:
|
Zbl 0782.05056 |
idMR:
|
MR1201861 |
. |
Date available:
|
2008-06-06T21:04:31Z |
Last updated:
|
2012-05-10 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107431 |
. |
Reference:
|
[1] Bermond J.C.: On Hamiltonian walks.Proc. 5th British combinatorial conf. (1975), 41-51. MR 0398891 |
Reference:
|
[2] Goodman S.E. and Hedetniemi S.T.: On Hamiltonian walks in graphs.SIAM J. Comput 3 (1974), 214-221. MR 0432492 |
Reference:
|
[3] Jolivet J.L.: Hamiltonian pseudocycles in graphs.Proc. 5th Conf. Combinatorics, graph theory and computing (1975), Boca Raton, 529-533. MR 0364009 |
Reference:
|
[4] Vacek P.: On open Hamiltonian walks.in print. Zbl 0758.05067 |
. |