The first two maximum Sombor spectral radii of bicyclic graphs
The Sombor matrix S ( G ) of a graph G was introduced by Gutman in 2021, in which the ( i, j )-entry is equal to √(deg 2 ( u i ) + deg 2 ( u j )) if the vertices u i and u j are adjacent in G , and zero otherwise, where deg( u i ) denotes the degree of vertex u i in G . In this paper, we obtain the extremal graphs with the first two maximum Sombor spectral radii in bicyclic graphs.
Authors
- Yanhui Zhang (ORCID: https://orcid.org/0000-0002-8383-1760)
- Xiaoling Ma (ORCID: https://orcid.org/0000-0001-8634-8566)
- Yangyang Wu (ORCID: https://orcid.org/0000-0002-6801-7429)
Institutions
- Xinjiang University (CN)
Publication Details
- Journal
- RAIRO. Operations research
- Published
- 2025-06-11
- DOI
- https://doi.org/10.1051/ro/2025075
- Primary Topic
- Graph theory and applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China