We classify trivalent vertex-transitive graphs whose edge sets have a partition into 2-factor composed of two cycles and 1-factor that is invariant under the action automorphism group.

During the last two decades, experimental evidence for language-mediated effects on cognition has surfaced in numerous studies. These studies relate to semantic fields as diverse as number, gender, spatial orientation, and color, inter alia. One subject that has received relatively little attention in such experimental research is the potential for relativistic effects on event construal. In th...

The relative fixity of a permutation group is the maximum proportion points fixed by non-trivial element group, and graph its automorphism viewed as on vertex-set graph. We prove in this paper that connected 2-arc-transitive graphs valence tends to 0 number vertices grows infinity. same result for class arc-transitive prime valence, more generally, any locally-L graphs, where L quasiprimitive g...