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(1) (1998)   15-21
DOI: https://doi.org/10.7151/dmgt.1060

A NOTE ON UNIQUELY EMBEDDABLE GRAPHS

Mariusz Woźniak

Wydział  Matematyki Stosowanej AGH
Al. Mickiewicza 30, 30-059 Kraków, Poland

Abstract

Let G be a simple graph of order n and size e(G). It is well known that if e(G) ≤ n-2, then there is an embedding G into its complement [`G]. In this note, we consider a problem concerning the uniqueness of such an embedding.

Keywords: packing of graphs.

1991 Mathematics Subject Classification: 05C70.

References

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[2] D. Burns and S. Schuster, Every (p,p-2) graph is contained in its complement, J. Graph Theory 1 (1977) 277-279, doi: 10.1002/jgt.3190010308.
[3] D. Burns and S. Schuster, Embedding (n,n-1) graphs in their complements, Israel J. Math. 30 (1978) 313-320, doi: 10.1007/BF02761996.
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Received 17 December 1996
Revised 14 October 1997


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