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On the edge-reconstruction of graphs

Published online by Cambridge University Press:  17 April 2009

W. Dörfler
W. Dörfler
Affiliation:
3. Institut für Mathematik, Technische Hochschule, Gußhausstnaße, Wien, Austria.
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A graph X is edge-reconstructible if it is uniquely determined up to isomorphism by the set of graphs X – e obtained by deleting one, edge e. The graphs of a comparatively rich class are shown to be edge-reconstructible. This class contains all non-trivial strong products and certain lexicographic products.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 10 , Issue 1 , February 1974 , pp. 79 - 84
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Dörfler, W., “Bemerkungen zur Ulam-Vermutung”, Arch. Math. 23 (1972), 442–445.CrossRefGoogle Scholar
[2]Dörfler, W., “Some results on the reconstruction of graphs”, Proc. Coll, infinite and finite sets, 1973 (to appear).Google Scholar
[3]Dörfler, Willibald und Imrich, Wilfred, “Eine Klasse rekonstruierbarer Graphen”, Glasnik Mat. Ser. III 7 (1972), 159–165.Google Scholar
[4]Greenwell, D.L. and Hemminger, R.L., “Reconstructing graphs”, The many facets of graph theory, 91–114 (Lecture Notes in Mathematics, 110. Springer-Verlag, Berlin, Heidelberg, New York, 1969).CrossRefGoogle Scholar
[5]Harary, Frank, Graph theory (Addison-Wesley, Reading, Massachussets; London; Ontario; 1969).CrossRefGoogle Scholar
[6]Ulam, S.M., A collection of mathematical problems (Interscience, New York, London, 1960).Google Scholar