On Bond Incident Degree Indices of Fixed-Size Bicyclic Graphs with Given Matching Number
A connected graph with p vertices and q edges satisfying q=p+1 is referred to as a bicyclic graph. This paper is concerned with an optimal study of the BID (bond incident degree) indices of fixed-size bicyclic graphs with a given matching number. Here, a BID index of a graph G is the number BIDf(G)=∑vw∈E(G)f(dG(v),dG(w)), where E(G) represents G’s edge set, dG(v) denotes vertex v’s degree, and f is a real-valued symmetric function defined on the Cartesian square of the set of all different members of G’s degree sequence. Our results cover several existing indices, including the Sombor index and symmetric division deg index.
Authors
- Hicham Saber (ORCID: https://orcid.org/0000-0003-3453-9277)
- Tariq Alraqad (ORCID: https://orcid.org/0000-0002-8881-4812)
- Akhlaq Ahmad Bhatti (ORCID: https://orcid.org/0000-0002-3474-1101)
- Akbar Ali (ORCID: https://orcid.org/0000-0001-8160-4196)
- Abeer M. Albalahi (ORCID: https://orcid.org/0000-0002-7619-6869)
- Adel A. Attiya (ORCID: https://orcid.org/0000-0001-7135-7400)
- Mohammad Alanazi (ORCID: https://orcid.org/0000-0001-6766-3237)
Institutions
- National University of Computer and Emerging Sciences (PK)
- University of Ha'il (SA)
- University of Tabuk (SA)
Publication Details
- Journal
- Mathematics
- Published
- 2024-12-01
- DOI
- https://doi.org/10.3390/math12233806
- Primary Topic
- Graph theory and applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- University of Hail