| Title:
|
On supermagic regular graphs (English) |
| Author:
|
Ivančo, Jaroslav |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
125 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
99-114 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A graph is called supermagic if it admits a labelling of the edges by pairwise different consecutive positive integers such that the sum of the labels of the edges incident with a vertex is independent of the particular vertex. Some constructions of supermagic labellings of regular graphs are described. Supermagic regular complete multipartite graphs and supermagic cubes are characterized. (English) |
| Keyword:
|
supermagic graphs |
| Keyword:
|
complete multipartite graphs |
| Keyword:
|
products of graphs |
| MSC:
|
05C75 |
| MSC:
|
05C78 |
| idZBL:
|
Zbl 0963.05121 |
| idMR:
|
MR1752082 |
| DOI:
|
10.21136/MB.2000.126259 |
| . |
| Date available:
|
2009-09-24T21:40:43Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126259 |
| . |
| Reference:
|
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| Reference:
|
[2] T. Bier D. G. Rogers: Balanced magic rectangles.Europ. J. Combin. 14 (1993), 285-299. MR 1226576, 10.1006/eujc.1993.1032 |
| Reference:
|
[3] M. Doob: Characterizations of regular magic graphs.J. Combin. Theory, Ser. B 25 (1978), 94-104. Zbl 0384.05054, MR 0505855, 10.1016/S0095-8956(78)80013-6 |
| Reference:
|
[4] R. B. Jeurissen: Magic graphs, a characterization.Europ. J. Combin. 9 (1988), 363-368. Zbl 0657.05065, MR 0950055, 10.1016/S0195-6698(88)80066-0 |
| Reference:
|
[5] S. Jezný M. Trenkler: Characterization of magic graphs.Czechoslovak Math. J. 33 (1983), 435-438. MR 0718926 |
| Reference:
|
[6] J. Sedláček: Problem 27.Theory of Graphs and Its Applications, Proc. Symp. Smolenice. Praha, 1963, pp. 163-164. |
| Reference:
|
[7] J. Sedláček: On magic graphs.Math. Slovaca 26 (1976), 329-335. MR 0434889 |
| Reference:
|
[8] B. M. Stewart: Magic graphs.Canad. J. Math. 18 (1966), 1031-1059. Zbl 0149.21401, MR 0197358, 10.4153/CJM-1966-104-7 |
| Reference:
|
[9] B. M. Stewart: Supermagic complete graphs.Canad. J. Math. 19 (1967), 427-438. Zbl 0162.27801, MR 0209180, 10.4153/CJM-1967-035-9 |
| . |
