Results 21 to 30 of about 28,315 (192)
Five results on maximizing topological indices in graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 In this paper, we prove a collection of results on graphical indices. We determine the extremal graphs attaining the maximal generalized Wiener index (e.g. the hyper-Wiener index) among all graphs with given matching number or independence number.
Stijn Cambie
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The Wiener, hyper-Wiener, Harary and SK indices of the P(Z_{p^k.q^r}) power graph [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The undirected P(Zₙ) power graph of a finite group of Zₙ is a connected graph, the set of vertices of which is Zₙ. Here u,v∈P(Zₙ) are two diverse adjacent vertices if and only if u≠v and ⟨v⟩ ⊆ ⟨u⟩ or ⟨u⟩ ⊆ ⟨v⟩.
Volkan Aşkin
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Hosoya polynomial of zigzag polyhex nanotorus [PDF]
Journal of the Serbian Chemical Society, 2008 The Hosoya polynomial of a molecular graph G is defined as ... , where d(u,v) is the distance between vertices u and v. The first derivative of H(G,l) at l = 1 is equal to the Wiener index of G, defined as .... . The second derivative of .... at l = 1 is
MEHDI ELIASI, BIJAN TAERI
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HYPER-WIENER INDEX OF ZIGZAG POLYHEX NANOTUBES [PDF]
The ANZIAM Journal, 2008 Abstract The hyper-Wiener index of a connected graph G is defined as $WW(G)=(1/4)\sum _{(u,v)\in V(G)\times V(G)}\big (d(u,v)+d(u,v)^2\big )$ , where V (G) is the set of all vertices of G and d(u,v) is the distance between the vertices u,v∈V (G).
Eliasi, Mehdi, Taeri, Bijn
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The hyper‐Wiener Index of diamond nanowires
International Journal of Quantum Chemistry, 2023 Abstract Carbon nanowires based on various structures have various applications. In this article, our focus is on diamond nano‐wires, based on the structure of the diamond. Our goal is to characterize these nanowires by providing their hyper‐Wiener index, one of the basic topological graph indices.
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Application of Some Topological Indices in Nover Topologized Graphs [PDF]
Neutrosophic Sets and Systems, 2023 There are many applications of graph theory to a wide variety of subjects which include operation Research, Physics, chemistry, Economics, Genetics, Engineering, computer Science etc.,In a classical graph for each vertex or edge there are two ...
G. Muthumari, R. Narmada Devi
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Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph
Journal of Chemistry, 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
Peng Xu +5 more
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Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks
Journal of Mathematics, 2021 Topological indices are the numbers associated with the graphs of chemical compounds/networks that help us to understand their properties. The aim of this paper is to compute topological indices for the hierarchical hypercube networks. We computed Hosoya
Tingmei Gao, Iftikhar Ahmed
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Topological Indices of Graphs from Vector Spaces
Mathematics, 2023 Topological indices are numbers that are applied to a graph and can be used to describe specific graph properties through algebraic structures. Algebraic graph theory is a helpful tool in a range of chemistry domains.
Krishnamoorthy Mageshwaran +3 more
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Hosoya Polynomials Of Some Semiconducotors
Journal of Kufa for Mathematics and Computer, 2014 The Hosoya polynomial of a graph G is a graphical invariant polynomial that its first derivative at x = 1 is equal to the Wiener index and second derivative at x =1 is equal to the hyperï€Wiener index.
Azeez Lafta Jabir +2 more
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