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Isomorphisms of finite Cayley graphs

Published online by Cambridge University Press:  17 April 2009

Cai Heng Li
Affiliation:
Department of MathematicsUniversity of Western AustraliaPerth WA 6907Australia
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Abstract

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Type
Abstracts of Australasian Ph.D. theses
Copyright
Copyright © Australian Mathematical Society 1997

References

[1]Ádám, A., ‘Research problem 2–10’, J. Combin. Theory 2 (1967), 309.Google Scholar
[2]Babai, L. and Frankl, P., ‘Isomorphisms of Cayley graphs I’, Colloq. Math. Soc. János Bolyai 18 (1978), 3552.Google Scholar
[3]Babai, L. and Frankl, P., ‘Isomorphisms of Cayley graphs II’, Acta Math. Hungar. 34 (1979), 177183.CrossRefGoogle Scholar
[4]Elspas, B. and Turner, J., ‘Graphs with circulant adjacency matrices’, J. Combin. Theory 9 (1970), 297307.CrossRefGoogle Scholar
[5]Li, C.H., ‘The finite groups with the 2–DCI property’, Comm. Algebra 24 (1996), 17491757.Google Scholar
[6]Li, C.H., ‘Finite Abelian group with the m-DCI property’, Ars Combin. (to appear).Google Scholar
[7]Li, C.H., ‘The cyclic group with the m-DCI property’, European J. Combin. (to appear).Google Scholar
[8]Li, C.H., ‘On isomophisms of connected Cayley graphs’, Discrete Math. (to appear).Google Scholar
[9]Li, C.H., ‘Isomorphisms of connected Cayley digraphs’, Graphs Combin. (to appear).Google Scholar
[10]Li, C.H., ‘On isomorphisms of connected Caylet graphs, II, (submitted).Google Scholar
[11]Li, C.H., ‘Finite CI-groups are solvable’, (submitted).Google Scholar
[12]Li, C.H., ‘On finited groups with the Cayley isomorphism property, II, (submitted).Google Scholar
[13]Li, C.H., ‘The automorphism group of symmetric cubic graphs’, (preprint).Google Scholar
[14]Li, C.H. and Praeger, C.E., ‘The finite simple groups with at most two fusion classes of every order’, Comm. Algebra 24 (1996), 36813704.CrossRefGoogle Scholar
[15]Li, C.H. and Praeger, C.E., ‘On finite groups in which any two elements of the same order are fused or inverse-fused’, Comm. Algebra (to appear).Google Scholar
[16]Li, C.H. and Praeger, C.E., ‘On the isomorphism problem for finite Cayley graphs of bounded valency’, (preprint, 1997).Google Scholar
[17]Li, C.H., Praeger, C.E. and Xu, M.Y., ‘Isomorphisms of finite Cayley diagraphs of bounded valency’, (submitted).Google Scholar
[18]Li, C.H., Praeger, C.E. and Xu, M.Y., ‘On finite groups with the Cayley isomorphism property’, (submitted).Google Scholar
[19]Xu, M.Y., ‘Some work on vertex-transitive graphs by Chinese mathematicians’, in Group theory in China (Science Press/Kluwer Academic Publishers, Beijing/New York, 1996), pp. 224254.CrossRefGoogle Scholar