| Title:
             | 
On the impossibility to construct diametrically critical graphs by extensions (English) | 
| Author:
             | 
Gliviak, Ferdinand | 
| Language:
             | 
English | 
| Journal:
             | 
Archivum Mathematicum | 
| ISSN:
             | 
0044-8753 (print) | 
| ISSN:
             | 
1212-5059 (online) | 
| Volume:
             | 
11 | 
| Issue:
             | 
3 | 
| Year:
             | 
1975 | 
| Pages:
             | 
131-137 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
05C35 | 
| idZBL:
             | 
Zbl 0361.05041 | 
| idMR:
             | 
MR0412035 | 
| . | 
| Date available:
             | 
2008-06-05T19:56:30Z | 
| Last updated:
             | 
2012-05-09 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/104851 | 
| . | 
| Reference:
             | 
[1] Damerell R. M.: On Moore graphs.Proc. Camb. Phil. Soc. 74, 1973, 227-236. Zbl 0262.05132, MR 0318004 | 
| Reference:
             | 
[2] Gerwitz A.: Graph with maximal even girth.Canad. J. Math. 21, 1969, 915-935. MR 0304232 | 
| Reference:
             | 
[3] Gliviak F.: Vertex-critical graphs of given diameter.Submitted to Acta Math. Acad. Sci. Hung. Zbl 0346.05111, MR 0424618 | 
| Reference:
             | 
[4] Gliviak F., Kyš P., Plesník J.: On the extension of graphs with a given diameter without superfluous edges.Mat. časop. 19, 1969, 92-101. Zbl 0185.27803, MR 0302503 | 
| Reference:
             | 
[5] Gliviak F., Plesník J.: On the impossibility to construct certain classes of graphs by extensions.Acta Math. Acad. Sci. Hung. 22, 1971, 1, 5-10. MR 0289338 | 
| Reference:
             | 
[6] Harary F.: Graph theory.Addison-wesley, Reading, Massachusetts, 1969. Zbl 0196.27202, MR 0256911 | 
| Reference:
             | 
[7] Hedetniemi S.: Characterizations and constructions of minimally 2-connected graphs and minimally strong digraphs.In: Proc. Second Louisiana Conf. on Comb., Graph Theory and Computing 1971, 257-282. Zbl 0297.05120, MR 0319799 | 
| Reference:
             | 
[8] Plesník J.: Critical graphs of given diameter.Acta Fac. R. N. Univ. Com., 30, 1975, 71-93. MR 0398904 | 
| Reference:
             | 
[9] Tutte W. T.: A theory of 3-connected graphs.Indag. Math. 23, 1961, 441-455. Zbl 0101.40903, MR 0140094 | 
| . |