Aug 2026· Match-communications in Mathematical and in Computer Chemistry· Vol 97, pp. 567· 0 citations
Abstract
The degree-ratio Sombor index (DRSO) is a recently introduced geometric degree-based topological invariant. First, we correct an erroneous lower bound involving the Sombor index and rectify the characterization of extremal graphs from the original work on this index [11]. Subsequently, we investigate the relationship between the DRSO index and the spectral radius of a graph. Sharp upper and lower bounds involving the graph’s order, size, minimum and maximum degree are obtained. Finally, we establish several relations between DRSO and other classical indices, including the Diminished Sombor index, the Sombor index, the Randi´c index, the harmonic index, and the first Zagreb index.
The degree-ratio Sombor (DRSO) index is a recently introduced variant of the extensively studied Sombor index. In this paper, we establish an upper bound on the DRSO index in terms of the size, minimum degree, and maximum degree of a graph, which provides the unique graph maximizing the DRSO index among all fixed-order...
Akbar Ali, Ivan Gutman, Gasper George Nyauli et al.· Match-communications in Math...· 0 citations
The Hyperbolic Sombor index HSO(G) of a graph G=(V(G),E(G)) is proposed as a new vertex-degree-based topological index. In this paper, we investigate the mathematical properties of this novel vertex-degree-based topological index for general graphs. We first establish tight upper and lower bounds on HSO(G) in terms of...
In this paper, we introduce the Triplet Sombor Index (TSO), a
new degree–based topological index defined over connected triples
of vertices. We also establish several basic properties and bounds
of the index in terms of graph parameters. In particular, we determine extremal trees with respect to TSO, and we prove that...
Mina Abdulkareem Sultan, F. Shaveisi, B. Edalatzadeh· Match-communications in Math...· 0 citations
In this paper, we introduce the Euler hyperbolic Sombor index and investigate its fundamental properties across various classes of graphs. We first establish general lower and upper bounds for this index and examine its relationships with several well-known topological indices, including the Euler Sombor index, the geo...
Esra Öztürk Sözen, Elif Eryaşar, Ivan Gutman et al.· Match-communications in Math...· 0 citations
Graph descriptors such as normalized Laplacian energy, Sombor index, Mostar index and Zagreb index are often employed in various scientific contexts. The Sombor index is essential in chemical graph theory because it provides insights into molecule stability and reactivity by analyzing the distribution of atom degrees a...
Farwa Asmat· Match-communications in Math...· 0 citations
The diminished Sombor index of a simple graph [Formula: see text] is defined by [Formula: see text] where [Formula: see text] and [Formula: see text] denote the degrees of the vertices [Formula: see text] and [Formula: see text], respectively.
In this paper, we study the diminished Sombor index and develop a suite of...
M. Akhbari· Asian-European Journal of Ma...· 0 citations
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