A note on vertex-transitive non-Cayley graphs from Cayley graphs generated by involutions |
| |
Authors: | Jana Tomanová |
| |
Institution: | Comenius University, Bratislava, Slovakia |
| |
Abstract: | We show that the result of Watkins (1990) 19] on constructing vertex-transitive non-Cayley graphs from line graphs yields a simple method that produces infinite families of vertex-transitive non-Cayley graphs from Cayley graphs generated by involutions. We also prove that the graphs arising this way are hamiltonian provided that their valency is at least six. |
| |
Keywords: | Vertex-transitive non-Cayley graph Line graph |
本文献已被 ScienceDirect 等数据库收录! |