Open AccessGeneralized Ramsey theory and decomposable properties of graphs
Author(s) -
Stefan Burr,
Michael S. Jacobson,
Peter Mihók,
Gabriel Semanišin
Publication year - 1999
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.1095
Subject(s) - mathematics , ramsey's theorem , combinatorics , ramsey theory , distributive property , discrete mathematics , graph , pure mathematics
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.
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