35 citations · 38 across the 9 of their papers we have counts for
5 papers · 2 filters
A note on regular sets in Cayley graphs
Junyang Zhang, Yanhong Zhu
A subset of the vertex set of a graph is said to be -regular if induces a -regular subgraph and every vertex outside is adjacent to exactly vertices i…
Characterizing subgroup perfect codes by 2-subgroups
Junyang Zhang
A perfect code in a graph is a subset of such that no two vertices in are adjacent and every vertex in is adjacent to exactly one vertex in …
Nowhere-zero 3-flows in nilpotently vertex-transitive graphs
Junyang Zhang, Sanming Zhou
We prove that every regular graph of valency at least four whose automorphism group contains a nilpotent subgroup acting transitively on the vertex set admits a nowhere-zero 3-flow…
Nowhere-zero 3-flows in Cayley graphs on supersolvable groups
Junyang Zhang, Sanming Zhou
Tutte's 3-flow conjecture asserts that every -edge-connected graph admits a nowhere-zero -flow. We prove that this conjecture is true for every Cayley graph of valency at lea…
Corrigendum to "On subgroup perfect codes in Cayley graphs" [European J. Combin. 91 (2021) 103228]
Junyang Zhang, Sanming Zhou
We correct the statements of two theorems and two corollaries in our paper [On subgroup perfect codes in Cayley graphs, European J. Combin. 91 (2021) 103228]. Proofs of these theor…