Relationship between the Hosoya polynomial and the hyper-Wiener index
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exaly +2 more sources
Five results on maximizing topological indices in graphs [PDF]
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]
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]
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]
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
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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Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph
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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Application of Some Topological Indices in Nover Topologized Graphs [PDF]
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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Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks
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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Phanerozoic Large Igneous Province, Petroleum System, and Source Rock Links
Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Steven C. Bergman +2 more
wiley +1 more source

