Open AccessPrime-valent arc-transitive basic graphs with order 4 p or 4 p 2
Author(s) -
Hailin Liu
Publication year - 2018
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1711-35
Subject(s) - mathematics , combinatorics , transitive relation , vertex (graph theory) , arc (geometry) , graph , prime (order theory) , order (exchange) , discrete mathematics , geometry , finance , economics
A graph Γ is called G -basic if G is quasiprimitive or bi-quasiprimitive on the vertex set of Γ , where G ≤ AutΓ . In this paper, we complete the classification of r -valent arc-transitive basic graphs with order 4p or 4p , where p and r are odd primes.
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