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An Isoperimetric Problem in Cayley Graphs

✍ Scribed by Y. O. Hamidoune; A. S. Lladó; O. Serra

Publisher: Springer
Year: 1999
Tongue: English
Weight: 67 KB
Volume: 32
Category: Article
ISSN: 1433-0490
DOI: 10.1007/s002240000129

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We prove that if two Cayley graphs of Z~ are isomorphic, then they are isomorphic by a group automorphism of Z 3. In [3], Babai and Frankl conjectured that Z 3 is a CI-group with respect to graphs for all primes p and k >t 1. The case k = 1 was settled positively by several authors [1,3,5,6]. It wa