On a characterization of graphs by average labellings

Matúš Harminc

Discussiones Mathematicae Graph Theory (1997)

  • Volume: 17, Issue: 1, page 133-136
  • ISSN: 2083-5892

Abstract

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The additive hereditary property of linear forests is characterized by the existence of average labellings.

How to cite

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Matúš Harminc. "On a characterization of graphs by average labellings." Discussiones Mathematicae Graph Theory 17.1 (1997): 133-136. <http://eudml.org/doc/270251>.

@article{MatúšHarminc1997,
abstract = {The additive hereditary property of linear forests is characterized by the existence of average labellings.},
author = {Matúš Harminc},
journal = {Discussiones Mathematicae Graph Theory},
keywords = {property of graphs; additive; hereditary; linear forest; graph labeling; average labeling; characterization; hereditary graph properties; forests},
language = {eng},
number = {1},
pages = {133-136},
title = {On a characterization of graphs by average labellings},
url = {http://eudml.org/doc/270251},
volume = {17},
year = {1997},
}

TY - JOUR
AU - Matúš Harminc
TI - On a characterization of graphs by average labellings
JO - Discussiones Mathematicae Graph Theory
PY - 1997
VL - 17
IS - 1
SP - 133
EP - 136
AB - The additive hereditary property of linear forests is characterized by the existence of average labellings.
LA - eng
KW - property of graphs; additive; hereditary; linear forest; graph labeling; average labeling; characterization; hereditary graph properties; forests
UR - http://eudml.org/doc/270251
ER -

References

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  1. [1] C. Berge, Graphes et Hypergraphes (Paris, Dunod 1970). Zbl0213.25702
  2. [2] M. Borowiecki, I. Broere, M. Frick, P. Mihók and G. Semanišin, A Survey of Hereditary Properties of Graphs, Discussiones Mathematicae Graph Theory 17 (1997) 5-50, doi: 10.7151/dmgt.1037. Zbl0902.05026
  3. [3] M. Borowiecki, P. Mihók, Hereditary properties of graphs, in: V.R. Kulli, ed. Advances in Graph Theory (Vishwa International Publication, 1991) 41-68. 
  4. [4] D. Gernet, Forbidden and unavoidable subgraphs, Ars Combinatoria 27 (1989) 165-176. Zbl0673.05047
  5. [5] D.L. Greenwell, R.L. Hemminger and J. Klerlein, Forbidden subgraphs, in: Proc. 4th S-E Conf. Combinatorics, Graph Theory and Computing, Utilitas Math. (1973) 389-394. Zbl0312.05128
  6. [6] M. Harminc and R. Soták, Graphs with average labellings, (1996) manuscript. 
  7. [7] S. Jezný and M. Trenkler, Characterization of magic graphs, Czechoslovak Math. J. 33 (1983) 435-438. Zbl0571.05030
  8. [8] P. Mihók, On graphs critical with respect to generalized independence numbers, Colloquia Mathematica Societatis János Bolyai-Combinatorics 52 (1987) 417-421. 
  9. [9] P. Mihók, On the minimal reducible bound for outerplanar and planar graphs, Discrete Math. 150 (1996) 431-435, doi: 10.1016/0012-365X(95)00211-E. Zbl0911.05043

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