Sombor-index-like invariants of some graphs

2022/08/03 by Nima Ghanbari, Ghanbari, Nima, ‎Saeid Alikhani +1
Chemistry · Computer Science · Mathematics · #05C07 #05C09 #Combinatorics (math.CO) #Computational Drug Discovery Methods #FOS: Mathematics #Graph theory and applications #Synthesis and Properties of Aromatic Compounds

paper · pdf · doi:10.48550/arxiv.2208.02091

openalex publication_date 2022/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Sombor index (SO) is a vertex-degree-based graph invariant, defined as the sum over all pairs of adjacent vertices of √(d_i²+d_j²), where d_i is the degree of the i-th vertex. It has been conceived using geometric considerations. Recently, a series of new SO-like degree-based graph invariants (denoted by SO₁, SO₂,..., SO₆) is taken into consideration, when the geometric background of several classical topological indices (Zagreb, Albertson) has considered. In this paper, we compute and study these new indices for some graphs, cactus chains and polymers.

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