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1/2-Transitive Graphs of Order 3p (1994)

Alspach, Brian ; Xu, Ming-Yao

Springer

Journal of algebraic combinatorics 3 (1994), S. 347-355

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ISSN: 1572-9192

Keywords: 1/2-transitive graph ; metacirculant ; factor graph

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract A graph X is called vertex-transitive, edge-transitive, or arc-transitive, if the automorphism group of X acts transitively on the set of vertices, edges, or arcs of X, respectively. X is said to be 1/2-transitive, if it is vertex-transitive, edge-transitive, but not arc-transitive. In this paper we determine all 1/2-transitive graphs with 3p vertices, where p is an odd prime. (See Theorem 3.4.)

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1022466626755

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