Skip to content
DraconiticResearch
Search Sources API
197,783 studies31 sourcesUpdated 39 min ago
PreprintarXiv licencearXiv

Minimum Distance Spectral Radius of Tree with Given Maximum Degree

Abstract

In this article, the unique graph with minimum distance spectral radius among trees with given order n and maximum degree varDelta is determined, where 2varDelta+1 ≤ n ≤ varDelta2 +1 for varDelta ≥ 3. This article is a part proof of the conjecture proposed in citeref1.

Related

  1. Extremal spectral radius of nonregular graphs with a fixed odd maximum degree
    Zejun Huang, Chenxi Yang
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv
  2. Nonregular graphs of odd maximum degree with maximum spectral radius
    Liangdong Fan, Liying Kang, Yaojun Chen
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv
  3. Size and spectral radius conditions for the existence of k-factor in graphs with given minimum degree
    Zengzhao Xu, Bo Deng, Ligong Wang
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv
  4. On the Minimum Possible Maximum Degree of Induced Subgraphs of Product Graphs
    Elizaveta Popova
    arXivPreprintCC BY 4.0Full textCombinatorics & discrete mathematicsarXiv
  5. Asymptotic maximum spectral radius of nonregular graphs
    Hangxi Cha, Haiying Shan
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv
BibTeX
@misc{li2026minimum,
  title = {{Minimum Distance Spectral Radius of Tree with Given Maximum Degree}},
  author = {Yifei Li and Zia Ullah Khan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34114},
  eprint = {2610.34114},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34114},
}
RIS
TY  - UNPB
TI  - Minimum Distance Spectral Radius of Tree with Given Maximum Degree
AU  - Yifei Li
AU  - Zia Ullah Khan
PY  - 2026
DA  - 2026/10/25
PB  - arXiv
DO  - 10.48550/arxiv.2610.34114
UR  - https://arxiv.org/abs/2610.34114
AB  - In this article, the unique graph with minimum distance spectral radius among trees with given order n and maximum degree varDelta is determined, where 2varDelta+1 ≤ n ≤ varDelta^2 +1 for varDelta ≥ 3. This article is a part proof of the conjecture proposed in citeref1.
ER  -