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SELF-COMPLEMENTARY VERTEX-TRANSITIVE GRAPHS

Part of: Graph theory Algebraic combinatorics

Published online by Cambridge University Press:  07 June 2016

GUANG RAO
GUANG RAO*
Affiliation:
School of Science and Engineering, The Chinese University of Hong Kong (Shenzhen), 2001 Longxiang Road, Longgang District, Shenzhen, PR China email [email protected]
*
✉[email protected]
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Abstract

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Keywords

self-complementary graphvertex-transitive graphmetacirculantCayley graph

MSC classification

Primary: 05C25: Graphs and abstract algebra (groups, rings, fields, etc.)
Secondary: 05E18: Group actions on combinatorial structures
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 1 , August 2016 , pp. 165 - 166
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

References

Guralnick, R., Li, C. H., Praeger, C. E. and Saxl, J., ‘On orbital partitions and exceptionality of primitive permutation groups’, Trans. Amer. Math. Soc. 356 (2004), 4857–4872.Google Scholar
Li, C. H. and Praeger, C. E., ‘On partitioning the orbitals of a transitive permutation group’, Trans. Amer. Math. Soc. 355 (2003), 637–653.Google Scholar
Li, C. H. and Praeger, C. E., ‘Finite permutation groups with a transitive cyclic subgroup’, J. Algebra 349 (2012), 117–127.Google Scholar
Li, C. H. and Rao, G., ‘Self-complementary vertex-transitive graphs of order a product of two primes’, Bull. Aust. Math. Soc. 89(2) (2014), 322–330.Google Scholar
Li, C. H., Rao, G. and Song, S. J., ‘On finite self-complementary metacirculants’, J. Algebraic Combin. 40(4) (2014), 1135–1144.Google Scholar
Marušič, D., ‘Vertex transitive graphs and digraphs of order p k ’, in: Cycles in Graphs (Burnaby, BC, 1982), North-Holland Mathematical Studies, 115 (North-Holland, Amsterdam, 1985), 115–128.Google Scholar