Name
Abstract | ||
|---|---|---|
A generalized theta-graph is composed of at least three internal disjoint paths (at most one of them is with length 1) which have the same initial vertex and the same terminal vertex. If the initial vertex and the terminal vertex are the same in a generalized theta-graph, then the generalized theta-graph is called a degenerated theta-graph or a petal graph. In this paper, two graft transformations that increase or decrease Q-spectral radius of a graph are represented. With them, for the generalized theta-graphs and petal graphs with order n, the extremal graphs with the maximal Q-spectral radius and the extremal graphs with the minimal Q-spectral radius are characterized respectively. |
Year | Venue | Keywords |
|---|---|---|
2016 | ARS COMBINATORIA | Signless Laplacian,Spectral radius,theta-graph,Petal graph |
Field | DocType | Volume |
Graph,Discrete mathematics,Combinatorics,Spectral radius,Mathematics | Journal | 126 |
ISSN | Citations | PageRank |
0381-7032 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Guanglong Yu | 1 | 28 | 11.07 |
| Hailiang Zhang | 2 | 8 | 3.73 |
| Jinling Shu | 3 | 0 | 0.34 |