Abstract

A graph $\Ga$ is called $G$-basic if $G$ is quasiprimitive or bi-quasiprimitive on the vertex set of $\Ga$, where $G\leq\Aut\Ga$. In this paper, we complete the classification of $r$-valent arc-transitive basic graphs with order $4p$ or $4p^2$, where $p$ and $r$ are odd primes.

DOI

10.3906/mat-1711-35

Keywords

Symmetric graph, basic graph, arc-transitive graph

First Page

2279

Last Page

2287

Recommended Citation

LIU, H (2018). Prime-valent arc-transitivebasic graphs with order $4p$ or $4p^2$. Turkish Journal of Mathematics 42 (5): 2279-2287. https://doi.org/10.3906/mat-1711-35

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