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ArticleOriginal scientific text

Title

Generalized ramsey theory and decomposable properties of graphs

Authors 1, 2, 3, 4

Affiliations

  1. Department of Computer Science, City College, C.U.N.Y. New York, NY 10031, U.S.A.
  2. University of Louisville, Louisville, KY 40292, U.S.A.
  3. Mathematical Institute, Slovak Academy of Sciences, Gresákova 6, 040 01 Košice, Slovak Republic
  4. Department of Geometry and Algebra, Faculty of Science, P.J. Šafárik University, Jesenná 5, 041 54 Košice, Slovak Republic

Abstract

In this paper we translate Ramsey-type problems into the language of decomposable hereditary properties of graphs. We prove a distributive law for reducible and decomposable properties of graphs. Using it we establish some values of graph theoretical invariants of decomposable properties and show their correspondence to generalized Ramsey numbers.

Keywords

ENG
hereditary properties, additivity, reducibility, decomposability, Ramsey number, graph invariants

Bibliography

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Discussiones Mathematicae Graph Theory
1999/19/2
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Pages:
199-217
Main language of publication
English
Received
1999-02-02
Accepted
1999-09-08
Published
1999

DOI: 10.7151/dmgt.1095

Exact and natural sciences