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Hosoya Polynomials of Power Graphs of Certain Finite Groups [PDF]
Molecules, 2022 Assume that G is a finite group. The power graph P(G) of G is a graph in which G is its node set, where two different elements are connected by an edge whenever one of them is a power of the other.
Bilal Ahmad Rather +3 more
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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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Power Graphs of Finite Groups Determined by Hosoya Properties [PDF]
Entropy, 2022 Suppose G is a finite group. The power graph represented by P(G) of G is a graph, whose node set is G, and two different elements are adjacent if and only if one is an integral power of the other. The Hosoya polynomial contains much information regarding
Fawad Ali +4 more
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Peripheral Hosoya polynomial of composite graphs [PDF]
Transactions on Combinatorics, 2022 Peripheral Hosoya polynomial of a graph $G$ is defined as, \begin{align*} &PH(G,\lambda)=\sum_{k\geq 1}d_P(G,k)\lambda^k,\\ \text{where $d_P(G,k)$ is the number} &\text{ of pairs of peripheral vertices at distance $k$ in $G$.} \end{align ...
Anteneh Ali, Kishori Narayankar
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Certain Topological Indices of Non-Commuting Graphs for Finite Non-Abelian Groups [PDF]
Molecules, 2022 A topological index is a number derived from a molecular structure (i.e., a graph) that represents the fundamental structural characteristics of a suggested molecule.
Fawad Ali +5 more
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Structural differentiation of graphs using Hosoya-based indices. [PDF]
PLoS ONE, 2014 In this paper, we introduce the Hosoya-Spectral indices and the Hosoya information content of a graph. The first measure combines structural information captured by partial Hosoya polynomials and graph spectra. The latter is a graph entropy measure which
Matthias Dehmer +2 more
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On Properties of Distance-Based Entropies on Fullerene Graphs [PDF]
Entropy, 2019 In this paper, we study several distance-based entropy measures on fullerene graphs. These include the topological information content of a graph I a ( G ) , a degree-based entropy measure, the eccentric-entropy I f σ ( G ...
Modjtaba Ghorbani +4 more
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The n-Hosoya Polynomials of the Square of a Path and of a Cycle [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2021 The n-Hosoya polynomial of a connected graph G of order t is defined by: Hn (G;x) = ∑ Cn (G;x) xk, where, Cn(G,k) is the number of pairs (v,S), in which |S| = n -1, 3 ≤ n ≤ t, v ∈ V(G) , S ⊆ V (G) , such that
Ahmed Ali
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Non-commuting graph of the dihedral group determined by Hosoya parameters
Alexandria Engineering Journal, 2022 Hosoya introduced the concept of graph terminologies in chemistry and provide a modeling for molecules. This modeling leads to predict the chemical properties of molecules, easy classification of chemical compounds, computer simulations and computer ...
Muhammad Salman +4 more
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Hosoya properties of the commuting graph associated with the group of symmetries
Main Group Metal Chemistry, 2021 A vast amount of information about distance based graph invariants is contained in the Hosoya polynomial. Such an information is helpful to determine well-known distance based molecular descriptors.
Abbas Ghulam +4 more
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