In this paper, we present a complete classification for locally-primitive arctransitive graphs which have square-free order and valency 10. The classification involves nine graphs and three infinite families of graphs.
In this paper,we present a complete list of connected arc-transitive graphs of square-free order with valency 11.The list includes the complete bipartite graph K11,11,the normal Cayley graphs of dihedral groups and th...In this paper,we present a complete list of connected arc-transitive graphs of square-free order with valency 11.The list includes the complete bipartite graph K11,11,the normal Cayley graphs of dihedral groups and the graphs associated with the simple group J1 and PSL(2,p),where p is a prime.展开更多
The authors investigate locally order 18p. It is shown that such a graph the Gray graph and the Tutte 12-cage. primitive bipartite regular connected graphs of is either arc-transitive or isomorphic to one of
基金This work was supported by the National Natural Science Foundation of China （grants 11371204, 11731002）.
文摘In this paper, we present a complete classification for locally-primitive arctransitive graphs which have square-free order and valency 10. The classification involves nine graphs and three infinite families of graphs.
基金supported by the National Natural Science Foundation of China(11731002,11701503,11971248,12061089)and the Fundamental Research Funds for the Central Universities.
文摘In this paper,we present a complete list of connected arc-transitive graphs of square-free order with valency 11.The list includes the complete bipartite graph K11,11,the normal Cayley graphs of dihedral groups and the graphs associated with the simple group J1 and PSL(2,p),where p is a prime.
基金supported by the National Natural Science Foundation of China(Nos.11271267,11371204)
文摘The authors investigate locally order 18p. It is shown that such a graph the Gray graph and the Tutte 12-cage. primitive bipartite regular connected graphs of is either arc-transitive or isomorphic to one of
