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Regular graphs with regular neighborhoods

Published online by Cambridge University Press:  18 May 2009

Ľubomír Šoltés
Ľubomír Šoltés
Affiliation:
KNOM MFF Comenius University, 842 15 Bratislava, Czechoslovakia
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The existence of r-regular graphs such that each edge lies in exactly t triangles, for given integers t < r, is studied. If t is sufficiently close to r then each such connected graph has to be the complete multipartite graph. Relations to graphs with isomorphic neighborhoods are also considered.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 34 , Issue 2 , May 1992 , pp. 215 - 218
Copyright
Copyright © Glasgow Mathematical Journal Trust 1992

References

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