Title:
|
On equality of edge-connectivity and minimum degree of a graph (English) |
Author:
|
Plesník, Ján |
Author:
|
Znám, Štefan |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
25 |
Issue:
|
1 |
Year:
|
1989 |
Pages:
|
19-25 |
. |
Category:
|
math |
. |
MSC:
|
05C35 |
MSC:
|
05C38 |
MSC:
|
05C40 |
idZBL:
|
Zbl 0731.05035 |
idMR:
|
MR1189195 |
. |
Date available:
|
2008-06-06T06:19:36Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107335 |
. |
Reference:
|
[1] M. Behzad G. Chartrand, L. Lesniak-Foster: Graphs and Digraphs.Prindle, Weber and Schmidt, Boston, 1979. MR 0525578 |
Reference:
|
[2] B. Bollobás: On graphs with equal edge connectivity and minimum degree.Discrete Math. 28 (1979), 321-323. MR 0548631 |
Reference:
|
[3] G. Chartrand: A graph-theoretical approach to a communications problem.SIAM J. Appl. Math. 14 (1966), 778-781. MR 0207585 |
Reference:
|
[4] A. H. Esfahanian: Lower bounds on the connectivities of a graph.J. Graph Theory 9 (1985), 503-511. Zbl 0664.05050, MR 0890241 |
Reference:
|
[5] D. L. Goldsmith, R. C. Entringer: A sufficient condition for equality of edge-connectivity and minimum degree of a graph.J. Graph Theory 3 (1979), 251-255. Zbl 0417.05040, MR 0542546 |
Reference:
|
[6] L. Lesniak: Results on the edge-connectivity of graphs.Discrete Math. 8 (1974), 351-354. Zbl 0277.05123, MR 0335333 |
Reference:
|
[7] J. Plesník: Critical graphs of given diameter.Acta Fac. R. N. Univ. Comen. Math. 30 (1975), 71-93. MR 0398904 |
Reference:
|
[8] T. Soneoka H. Nakada M. Imase, C. Peyrat: Sufficient conditions for maximally connected dense graphs.preprint. MR 0874923 |
Reference:
|
[9] L. Volkmann: Bemerkungen zum p-fachen Kantenzusammenhang von Graphen.An. Univ. Bucuresti Mat., to appear. Zbl 0649.05046, MR 0978449 |
Reference:
|
[10] L. Volkmann: Edge-connectivity in partite graphs.J. Graph Theory, to appear. |
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