Results 11 to 20 of about 132 (84)
Wiener index and addressing of some finite graphs
AKCE International Journal of Graphs and Combinatorics, 2023 An addressing of length t of a graph G is an assignment of t-tuples with entries in [Formula: see text] called addresses, to the vertices of G such that the distance between any two vertices can be determined from their addresses.
Mona Gholamnia Taleshani, Ahmad Abbasi
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General Randić indices of a graph and its line graph
Open Mathematics, 2023 For a real number α\alpha , the general Randić index of a graph GG, denoted by Rα(G){R}_{\alpha }\left(G), is defined as the sum of (d(u)d(v))α{\left(d\left(u)d\left(v))}^{\alpha } for all edges uvuv of GG, where d(u)d\left(u) denotes the degree of a ...
Liang Yan, Wu Baoyindureng
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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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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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Sombor index of zero-divisor graphs of commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper, we investigate the Sombor index of the zero-divisor graph of ℤn which is denoted by Γ(ℤn) for n ∈ {pα, pq, p2q, pqr} where p, q and r are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Γ(ℤn)
Gürsoy Arif +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
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Note on the temperature Sombor index [PDF]
, 2023 Introduction/purpose: The temperature of a vertex of a graph of the order n is defined as d/(n-d), where d is the vertex degree. The temperature variant of the Sombor index is investigated and several of its properties established. Methods: Combinatorial
Ivan Gutman
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Social Capital, Creative Destruction and Economic Development [PDF]
, 2005 This paper develops a conceptual framework for the role of social capital in the political economy of innovation, growth and reform, with illustrations from developing and transition countries.
Bezemer, Dirk +2 more
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