35 citations · 38 across the 9 of their papers we have counts for
10 papers
Classification of perfect and total perfect codes in generalized Petersen graphs
Xiaomeng Wang, Junyang Zhang
In a graph , a perfect code is an independent set with the property that every vertex not in is adjacent to a unique vertex in , and a total perfect code is a set …
The last patch for classifying shuffle groups
Junyang Zhang
Divide a deck of cards into equal piles and place them from left to right. The standard shuffle is performed by picking up the top cards one by one from left to right…
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…
Perfect codes in vertex-transitive graphs
Yuting Wang, Junyang Zhang
Given a graph , a perfect code in is an independent set of vertices of such that every vertex outside of is adjacent to a unique vertex in , and a total perfe…
On subgroup perfect codes in Cayley graphs
Junyang Zhang, Sanming Zhou
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…
A Classification of Orientable Regular Embeddings of Complete Multipartite Graphs
Shaofei Du, Junyang Zhang
Let be the complete multipartite graph with parts, while each part contains vertices. The orientably-regular embeddings of complete graphs have been d…