DMGT

ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

https://doi.org/10.7151/dmgt

Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory 18(2) (1998) 209-223
DOI: 10.7151/dmgt.1077

ON VARIETIES OF GRAPHS

Alfonz Haviar

Department of Mathematics, Faculty of Science, Matej Bel University
Tajovského 40, Sk 975 49 Banská Bystrica, Slovakia

Roman Nedela

Department of Mathematics, School of Finance, Matej Bel University
Tajovského 10, Sk 974 00 Banská Bystrica, Slovakia

Abstract

In this paper, we introduce the notion of a variety of graphs closed under isomorphic images, subgraph identifications and induced subgraphs (induced connected subgraphs) firstly and next closed under isomorphic images, subgraph identifications, circuits and cliques. The structure of the corresponding lattices is investigated.

Keywords and phrases: graph, subgraph identification, variety.

1991 Mathematics Subject Classification: 05C99.

References

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Received 5 January 1998
Revised 2 April 1998