Results 11 to 20 of about 124 (74)
On the maximum atom-bond sum-connectivity index of graphs
Open MathematicsThe atom-bond sum-connectivity (ABS) index of a graph GG with edges e1,…,em{e}_{1},\ldots ,{e}_{m} is the sum of the numbers 1−2(dei+2)−1\sqrt{1-2{\left({d}_{{e}_{i}}+2)}^{-1}} over 1≤i≤m1\le i\le m, where dei{d}_{{e}_{i}} is the number of edges adjacent
Alraqad Tariq +3 more
doaj +2 more sources
Computation of zagreb polynomials and zagreb indices for benzenoid triangular & hourglass system [PDF]
, 2022 In this article, we study benzenoid Triangular system and benzenoidHourglass system and we compute Zagreb polynomials for benzenoidTriangular system and benzenoid Hourglass system and from these Zagrebpolynomials we catch up degree based Zagreb ...
Chu, Yu-Ming +4 more
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, 2022 A Special Volume on Chemical Graph Theory in Memory of Nenad TrinajsticWe introduce a degree–based variable topological index inspired on the power (or generalized) mean. We name this new index as the mean Sombor index: SOα(G) = P uv∈E(G) [(d α u + d α v
Aguilar-Sánchez, R. +3 more
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Extremal problems on the general Sombor index of a graph [PDF]
, 2022 In this work we obtain new lower and upper optimal bounds of general Sombor indices. Specifically, we get inequalities for these indices relating them with other indices: the first Zagreb index, the forgotten index and the first variable Zagreb index ...
Hernandez, Juan C. +3 more
core +1 more source
Computing the Hosoya Polynomial of M‐th Level Wheel and Its Subdivision Graph
Journal of Chemistry, Volume 2021, Issue 1, 2021., 2021 The determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper‐Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic analogues of topological indices to the use as major tool in crystal and polymer studies.
Peng Xu +6 more
wiley +1 more source
Szeged Indices of Bicyclic Graphs with Applications as Molecular Descriptor [PDF]
, 2023 Molecular descriptors are mathematical representations of molecular properties, generated through numerous algorithms. These numerical values are used to quantitatively represent the physical and chemical attributes of molecules. In the field of chemical
Babai, Azam +2 more
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Some Less Familiar Properties of Randić Index [PDF]
, 2020 Several mathematically relevant properties of the Randić connectivity index, that may be less familiar to the chemical community, are outlined and commented.
Gutman, Ivan
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The Mostar index of Fibonacci and Lucas cubes
, 2021 The Mostar index of a graph was defined by Do\v{s}li\'{c}, Martinjak, \v{S}krekovski, Tipuri\'{c} Spu\v{z}evi\'{c} and Zubac in the context of the study of the properties of chemical graphs.
Eğecioğlu, Ömer +2 more
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Sombor, Nirmala, Dharwad, and F-Sombor Indices – A Comparative Study [PDF]
, 2023 Let G be a molecular graph, d(u) the degree (number of first neighbors) of its vertex u, and uv its edge connecting the vertices u and v. In the recent literature, four vertex-degree-based molecular structure descriptors have been put forward, named ...
Furtula, Boris +3 more
core +1 more source
Some New General Lower Bounds for Mixed Metric Dimension of Graphs [PDF]
, 2021 A vertex w ∈ V resolves two elements x, y ∈ V ∪ E if d(w, x) ≠ d(w, y). The mixed resolving set is a set of vertices S, S ⊆ V if any two elements of E ∪ V are resolved by some element of S.
Kratica J. +3 more
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