| Title:
|
Arbitrarily traceable Eulerian graph has the Hamiltonian square (English) |
| Author:
|
Sekanina, Milan |
| Author:
|
Sekaninová, Anna |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
18 |
| Issue:
|
2 |
| Year:
|
1982 |
| Pages:
|
91-93 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05C45 |
| idZBL:
|
Zbl 0503.05042 |
| idMR:
|
MR683350 |
| . |
| Date available:
|
2008-06-06T06:10:41Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107128 |
| . |
| Reference:
|
[1] Fleischner H.: The square of every nonseparable graph is Hamiltonian.Bull. Am. Math. Soc., 77 (1971), 1052-1054. Zbl 0223.05124, MR 0284364 |
| Reference:
|
[2] Fleischner H., Hobbs A. M.: A necessary condition, for the square of a graph to be Hamiltonian.J. of Comb. Theory, 19, 1975, 97-118. Zbl 0315.05120, MR 0414433 |
| Reference:
|
[3] Hobbs A. M.: Hamiltonian square of cacti.J. of Comb. Theory, Series B, 26 (1979), 50-65. MR 0525816 |
| Reference:
|
[4] Karaganis J. J.: On the cube a graph.Can. Math. Bull., 11 (1968), 295-296. MR 0230645 |
| Reference:
|
[5] Neuman F.: On a certain ordering of the vertices of a tree.Časopis pěst. mat., 89 (1964) 323-339. Zbl 0131.20901, MR 0181587 |
| Reference:
|
[6] Ore O.: A problem regarding the tracing of graphs.Elem. Math., 6 (1951), 49-53. Zbl 0043.38503, MR 0041418 |
| Reference:
|
[7] Ore O.: Theory of graphs.A. M. S., Providence, 1962. Zbl 0105.35401, MR 0150753 |
| Reference:
|
[8] Sekanina M.: On an ordering of the set of vertices of a connected graph.Publ. Fac. Sc. Univ. Brno, No 412, 1960, 137-142. Zbl 0118.18903, MR 0140095 |
| . |
