8 citations · 52 across the 81 of their papers we have counts for
6 papers · 1 filter
The power index of a graph
Xuanlong Ma, Min Feng, Kaishun Wang
The {\em power index} of a graph is the least order of a group such that can embed into the power graph of . Furthermore, this group is {\em -optimal}…
Weakly distance-regular digraphs of valency three, II
Yuefeng Yang, Benjian Lv, Kaishun Wang
In this paper, we classify commutative weakly distance-regular digraphs of valency 3 with girth more than 2 and one type of arcs. Combining [8, Theorem 1.2], [10, Theorem 1.3] and…
Quasi-thin weakly distance-regular digraphs
Yuefeng Yang, Benjian Lv, Kaishun Wang
A weakly distance-regular digraph is quasi-thin if the maximum value of its intersection numbers is 2. In this paper, we focus on commutative quasi-thin weakly distance-regular dig…
The strong metric dimension of the power graph of a finite group
Xuanlong Ma, Min Feng, Kaishun Wang
We characterize the strong metric dimension of the power graph of a finite group. As applications, we compute the strong metric dimension of the power graph of a cyclic group, an a…
Quasi-thin weakly distance-regular digraphs,I
Yuefeng Yang, Benjian Lv, Kaishun Wang
A weakly distance-regular digraph is quasi-thin if the maximum value of its intersection numbers is 2. In this paper, we show that the valency of any commutative quasi-thin weakly…
Finite groups with star-free noncyclic graphs
Xuanlong Ma, Gary L. Walls, Kaishun Wang
For a finite noncyclic group , let $\Cyc(G)$ be a set of elements of such that is cyclic for each of . The noncyclic graph of is a graph…