ArticleOriginal scientific text
Title
Graphs maximal with respect to hom-properties
Authors 1, 2, 3
Affiliations
- Department of Applied Mathematics, Charles University
- Mathematical Institute, Slovak Academy of Sciences
- Department of Geometry and Algebra, Faculty of Science, P. J. Šafárik University
Abstract
For a simple graph H, →H denotes the class of all graphs that admit homomorphisms to H (such classes of graphs are called hom-properties). We investigate hom-properties from the point of view of the lattice of hereditary properties. In particular, we are interested in characterization of maximal graphs belonging to →H. We also provide a description of graphs maximal with respect to reducible hom-properties and determine the maximum number of edges of graphs belonging to →H.
Keywords
hom-property of graphs, hereditary property of graphs, maximal graphs
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Pages:
77-88
Main language of publication
English
Received
1997-01-03
Accepted
1997-04-01
Published
1997
Exact and natural sciences