finite grouplabelingThe power graph is a special type undirected simple graph of a finite group G which has the group elements as its vertex set and two distinct vertices x, y is an element of G are adjacent if one is non-negative integral power of other. Vertex labeling of graph F is...
On the power graph of a finite group 下载积分: 199 内容提示: arXiv:1404.5192v1 [math.CO] 21 Apr 2014On the power graph of a f i nite groupMin Feng Xuanlong Ma Kaishun Wang ∗Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing, 100875, ChinaAbstractThe ...
The power graph of a finite group, II. The directed power graph of a group G is the digraph with vertex set G, having an arc from y to x whenever x is a power of y; the undirected power graph ha... Cameron,J Peter - 《Journal of Group Theory》 被引量: 165发表: 2010年 The ...
The power graph $\mathcal{P}(G)$ of a finite group $G$ is a graph whose vertex set is the group $G$ and distinct elements $x,y\in G$ are adjacent if one is a power of the other, that is, $x$ and $y$ are adjacent if $x\in\langle y\rangle$ or $y\in\langle x\rangle...
For a finite groupG, thepower graphP(G)is a graph with the vertex setG, in which two distinct elements are adjacent if one is a power of the other. Feng, Ma and Wang (Feng et al., 2016) described the full automorphism group ofP(G). In this paper, we study automorphism groups of...
On the minimum degree, edge-connectivity and connectivity of power graphs of finite groupsMathematics - Combinatorics05C2505C4005C0720K01The power graph of a group $G$ is the graph whose vertex set is $G$ and two distinct vertices are adjacent if one is a power of the other. In this ...
The power graph of a finite group The power graph of a group is the graph whose vertex set is the group, two elements being adjacent if one is a power of the other. We observe that non-isom... PJ Cameron,S Ghosh - 《Discrete Mathematics》...
A., Herzog M., Mann A.: On a graph related to conjugacy classes of groups. Bull. London Math. Soc. 22, 569–575 (1990) Article MathSciNet MATH Google Scholar Cameron P. J., Ghosh Sh.: The power graph of a finite group. Discrete Math. 311, 1220–1222 (2011) Article MathSci...
On the spectra of strong power graphs of finite groups We give the characteristic polynomial of the distance or adjacency matrix of the strong power graph of a finite group, and compute its distance and adjacency spectrum. X Ma - 《Journal of Mathematical Research with Applications》 被引量: ...
We study the connectivity of proper power graphs of some family of finite groups including nilpotent groups, groups with a nontrivial partition, and symmetric and alternating groups. Also, for such a group, the corresponding proper power graph has diameter at most 26 whenever it is connected....