Results 61 to 70 of about 1,607 (200)
Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.The generalized Mycielskian graphs are known for their advantageous properties employed in interconnection networks in parallel computing to provide efficient and optimized network solutions. This paper focuses on investigating the bounds and computation of the harmonic–arithmetic index of the generalized Mycielskian graph of path graph, cycle graph ...
Pooja Danushri Namidass +2 more
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This article explores numerous significant additive topological indices based on degrees for linear functional graphs over finite‐dimensional vector spaces. Specifically, we derive some unique topological indices, such as the eccentricity‐based indices and the Wiener index.
Vinnarasi L. +4 more
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Relating Sombor and Euler indices
Vojnotehnički GlasnikIntroduction/purpose: The Euler-Sombor index (EU) is a new vertexdegree-based graph invariant, obtained by geometric consideration. It is closely related to the Sombor index (SO). The actual form of this relation is established.
Ivan Gutman
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Degree-based topological indices of boron nanotubes
AIP Advances, 2023 In the past two decades, boron nanotubes have received significant attention from researchers and scientists due to their wide-ranging applications in electronics, nanodevices, optical engineering, nanobiotechnology, and cosmetics.
Sohan Lal, Shriya Negi, Vijay Kumar Bhat
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, 2023 The irregularity Sombor index ISO is a recently introduced measure for graph irregularity, defined as the sum over all pairs of adjacent ! vertices u, v of the term, where du is the degree of the vertex u. Some basic mathematical properties of ISO are established. AMS Mathematics Subject Classification (2020): 05C07, 05C09.
Gutman, Ivan +2 more
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Modeling the Physicochemical Characteristics of Benzene Compounds Utilizing Zagreb Eta Indices
Journal of Chemistry, Volume 2025, Issue 1, 2025.This study presents the Zagreb Eta indices, a novel family of degree‐based topological descriptors defined through multiplicative combinations of neighboring vertex degrees, designed to model the physicochemical properties of benzenoid hydrocarbons. Building on our prior work that proposed the additive Zagreb upsilon indices, we intentionally reused ...
İdris Çiftçi, Mahmood Ahmed
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The Extremal Unicyclic Graphs With Given Girth for Exponential VDB Topological Indices
Journal of Mathematics, Volume 2025, Issue 1, 2025.Topological indices are widely used molecular structure descriptors in chemistry and pharmaceutics, which help analyze and predict the physicochemical properties and biological activity of compounds. Focusing on the discriminative power, researchers introduced the general exponential VDB topological index, which is defined as follows: TefG=∑uv∈EGefdu ...
Zhenhua Su, Zikai Tang, Ammar Alsinai
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A note on extremal Sombor indices of trees with a given degree sequence
, 2022 We note here that the problem of determining extremal values of Sombor index for trees with a given degree sequence fits within the framework of results by Hua Wang from [Cent. Eur. J. Math.
Damnjanović, Ivan +2 more
core
Fuzzy Computational Analysis of Fuzzy Tadpole Graph
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we explore the application of fuzzy topological indices to the fuzzy tadpole graph TA,B, a hybrid structure that combines the cyclic and path‐like components within a fuzzy framework. We compute and analyze several key fuzzy indices, including the fuzzy Zagreb indices, fuzzy Randić index, fuzzy Harmonic index, fuzzy Sombor index, fuzzy ...
Shama Liaqat +3 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.Topological indices are indispensable tools in cheminformatics, and they provide succinct representations of molecular structure for property estimation. In chemical graph theory, various topological indices were introduced depending on degree and neighborhood‐degree. Here, new open neighborhood‐edge‐degree‐based topological indices are introduced, and
Gayathri Anbarasan +3 more
wiley +1 more source