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Isomorphism Problem for Metacirculant Graphs of Order a Product of Distinct Primes

Published online by Cambridge University Press:  20 November 2018

Edward Dobson
Edward Dobson*
Affiliation:
Department of Mathematics, Louisiana State University, Baton Rouge, LA 70808 USA
*
Current address: 401 Math Sciences, Oklahoma State University, Stillwater, OK 74078, USA email: edobson@math.okstate.edu
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Abstract

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In this paper, we solve the isomorphism problem for metacirculant graphs of order $pq$ that are not circulant. To solve this problem, we first extend Babai’s characterization of the $\text{CI}$-property to non-Cayley vertex-transitive hypergraphs. Additionally, we find a simple characterization of metacirculant Cayley graphs of order $pq$, and exactly determine the full isomorphism classes of circulant graphs of order $pq$.

Keywords

0520
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 50 , Issue 6 , 01 December 1998 , pp. 1176 - 1188
Copyright
Copyright © Canadian Mathematical Society 1998

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