Characterization of edge‐transitive 4‐valent bicirculants | Zendy

Kovács István | Zendy; Kuzman Boštjan | Zendy; Malnič Aleksander | Zendy; Wilson Steve | Zendy

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Characterization of edge‐transitive 4‐valent bicirculants

Author(s) -

Kovács István,

Kuzman Boštjan,

Malnič Aleksander,

Wilson Steve

Publication year - 2012

Publication title -

journal of graph theory

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.164

H-Index - 54

eISSN - 1097-0118

pISSN - 0364-9024

DOI - 10.1002/jgt.20594

Subject(s) - corollary , mathematics , combinatorics , transitive relation , vertex (graph theory) , automorphism , graph , characterization (materials science) , discrete mathematics , transitive closure , transitive reduction , symmetric graph , voltage graph , line graph , physics , optics

A bicirculant is a graph admitting an automorphism with exactly two vertex‐orbits of equal size. All non‐isomorphic 4‐valent edge‐transitive bicirculants are characterized in this article. As a corollary, a characterization of 4‐valent arc‐transitive dihedrants is obtained. © 2011 Wiley Periodicals, Inc. J Graph Theory.

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