On Finite Subnormal Cayley Graphs
Copyright policy )On Finite Subnormal Cayley Graphs
In this paper we introduce and study a type of Cayley graph – subnormal Cayley graph. We prove that a subnormal 2-arc transitive Cayley graph is a normal Cayley graph or a normal cover of a complete bipartite graph $\mathbf{K}_{p^d,p^d}$ with $p$ prime. Then we obtain a generic method for constructing half-symmetric (namely edge transitive but not arc transitive) Cayley graphs.
- Yantai University China (People's Republic of)
half-symmetric Cayley graphs, Finite automorphism groups of algebraic, geometric, or combinatorial structures, FOS: Mathematics, Mathematics - Combinatorics, General theory for finite permutation groups, subnormal 2-arc transitive Cayley graph, Combinatorics (math.CO), 05C25, 20B05, Graphs and abstract algebra (groups, rings, fields, etc.)
half-symmetric Cayley graphs, Finite automorphism groups of algebraic, geometric, or combinatorial structures, FOS: Mathematics, Mathematics - Combinatorics, General theory for finite permutation groups, subnormal 2-arc transitive Cayley graph, Combinatorics (math.CO), 05C25, 20B05, Graphs and abstract algebra (groups, rings, fields, etc.)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!