On the impossibility to construct diametrically critical graphs by extensions

Ferdinand Gliviak

Archivum Mathematicum (1975)

  • Volume: 011, Issue: 3, page 131-137
  • ISSN: 0044-8753

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Gliviak, Ferdinand. "On the impossibility to construct diametrically critical graphs by extensions." Archivum Mathematicum 011.3 (1975): 131-137. <http://eudml.org/doc/15993>.

@article{Gliviak1975,
author = {Gliviak, Ferdinand},
journal = {Archivum Mathematicum},
language = {eng},
number = {3},
pages = {131-137},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the impossibility to construct diametrically critical graphs by extensions},
url = {http://eudml.org/doc/15993},
volume = {011},
year = {1975},
}

TY - JOUR
AU - Gliviak, Ferdinand
TI - On the impossibility to construct diametrically critical graphs by extensions
JO - Archivum Mathematicum
PY - 1975
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 011
IS - 3
SP - 131
EP - 137
LA - eng
UR - http://eudml.org/doc/15993
ER -

References

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  1. Damerell R. M., On Moore graphs, Proc. Camb. Phil. Soc. 74, 1973, 227-236. (1973) Zbl0262.05132MR0318004
  2. Gerwitz A., Graph with maximal even girth, Canad. J. Math. 21, 1969, 915-935. (1969) MR0304232
  3. Gliviak F., Vertex-critical graphs of given diameter, Submitted to Acta Math. Acad. Sci. Hung. Zbl0346.05111MR0424618
  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. (1969) Zbl0185.27803MR0302503
  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. (1971) MR0289338
  6. Harary F., Graph theory, Addison-wesley, Reading, Massachusetts, 1969. (1969) Zbl0196.27202MR0256911
  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. (1971) Zbl0297.05120MR0319799
  8. Plesník J., Critical graphs of given diameter, Acta Fac. R. N. Univ. Com., 30, 1975, 71-93. (1975) MR0398904
  9. Tutte W. T., A theory of 3-connected graphs, Indag. Math. 23, 1961, 441-455. (1961) Zbl0101.40903MR0140094

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