An upper bound for graphs of diameter 3 and given degree obtained as abelian lifts of dipoles

Tomás Vetrík

Discussiones Mathematicae Graph Theory (2008)

  • Volume: 28, Issue: 1, page 91-96
  • ISSN: 2083-5892

Abstract

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We derive an upper bound on the number of vertices in graphs of diameter 3 and given degree arising from Abelian lifts of dipoles with loops and multiple edges.

How to cite

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Tomás Vetrík. "An upper bound for graphs of diameter 3 and given degree obtained as abelian lifts of dipoles." Discussiones Mathematicae Graph Theory 28.1 (2008): 91-96. <http://eudml.org/doc/270748>.

@article{TomásVetrík2008,
abstract = {We derive an upper bound on the number of vertices in graphs of diameter 3 and given degree arising from Abelian lifts of dipoles with loops and multiple edges.},
author = {Tomás Vetrík},
journal = {Discussiones Mathematicae Graph Theory},
keywords = {degree and diameter of a graph; dipole; diameter; degree; multiple edges; Abelian lift},
language = {eng},
number = {1},
pages = {91-96},
title = {An upper bound for graphs of diameter 3 and given degree obtained as abelian lifts of dipoles},
url = {http://eudml.org/doc/270748},
volume = {28},
year = {2008},
}

TY - JOUR
AU - Tomás Vetrík
TI - An upper bound for graphs of diameter 3 and given degree obtained as abelian lifts of dipoles
JO - Discussiones Mathematicae Graph Theory
PY - 2008
VL - 28
IS - 1
SP - 91
EP - 96
AB - We derive an upper bound on the number of vertices in graphs of diameter 3 and given degree arising from Abelian lifts of dipoles with loops and multiple edges.
LA - eng
KW - degree and diameter of a graph; dipole; diameter; degree; multiple edges; Abelian lift
UR - http://eudml.org/doc/270748
ER -

References

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  1. [1] B.D. McKay, M. Miller and J. Sirán, A note on large graphs of diameter two and given maximum degree, J. Combin. Theory (B) 74 (1998) 110-118, doi: 10.1006/jctb.1998.1828. Zbl0911.05031
  2. [2] J. Siagiová, A Moore-like bound for graphs of diameter 2 and given degree, obtained as Abelian lifts of dipoles, Acta Math. Univ. Comenianae 71 (2002) 157-161. Zbl1046.05023
  3. [3] J. Siagiová, A note on the McKay-Miller-Sirán graphs, J. Combin. Theory (B) 81 (2001) 205-208, doi: 10.1006/jctb.2000.2006. Zbl1024.05039

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