| Issue |
RAIRO-Oper. Res.
Volume 55, Number 3, May-June 2021
|
|
|---|---|---|
| Page(s) | 1757 - 1765 | |
| DOI | https://doi.org/10.1051/ro/2021085 | |
| Published online | 22 June 2021 | |
On graft transformations decreasing distance spectral radius of graphs
1
Basic Courses Department, Guangdong Communication Polytechnic, Guangzhou 510650, P.R. China
2
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China
* Corresponding author: zhoubo@scnu.edu.cn
Received:
21
November
2020
Accepted:
27
May
2021
The distance spectral radius of a connected graph is the largest eigenvalue of its distance matrix. In this paper, we give several less restricted graft transformations that decrease the distance spectral radius, and determine the unique graph with minimum distance spectral radius among home-omorphically irreducible unicylic graphs on n ≥ 6 vertices, and the unique tree with minimum distance spectral radius among trees on n vertices with given number of vertices of degree two, respectively.
Mathematics Subject Classification: 05C50 / 15A48
Key words: Distance spectral radius / distance matrix / graft transformation / homeomorphically irreducible unicylic graph
© The authors. Published by EDP Sciences, ROADEF, SMAI 2021
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