ArticleOriginal scientific text

Title

On a characterization of graphs by average labellings

Authors 1

Affiliations

  1. Department of Geometry and Algebra, P.J. Šafárik University

Abstract

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

Keywords

property of graphs, additive, hereditary, linear forest

Bibliography

  1. C. Berge, Graphes et Hypergraphes (Paris, Dunod 1970).
  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.
  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. D. Gernet, Forbidden and unavoidable subgraphs, Ars Combinatoria 27 (1989) 165-176.
  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.
  6. M. Harminc and R. Soták, Graphs with average labellings, (1996) manuscript.
  7. S. Jezný and M. Trenkler, Characterization of magic graphs, Czechoslovak Math. J. 33 (1983) 435-438.
  8. P. Mihók, On graphs critical with respect to generalized independence numbers, Colloquia Mathematica Societatis János Bolyai-Combinatorics 52 (1987) 417-421.
  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.
Pages:
133-136
Main language of publication
English
Received
1997-01-03
Published
1997
Exact and natural sciences