Results 21 to 30 of about 193,774 (278)
On General Sum-Connectivity Index and Number of Segments of Fixed-Order Chemical Trees
Journal of MathematicsNowadays, one of the most active areas in mathematical chemistry is the study of the mathematical characteristics associated with molecular descriptors. The primary objective of the current study is to find the largest value of χα of graphs in the class ...
Muzamil Hanif +4 more
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A note on general sum-connectivity index
Proyecciones (Antofagasta), 2023 For a simple finite graph G, general sum-connectivity index is defined for any real number α as χα(G) = , which generalises both the first Zagreb index and the ordinary sum-connectivity index. In this paper, we present some new bounds for the general sum-connectivity index. We also present relation between general sum-connectivity index and general
Phanjoubam, Chinglensana +2 more
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Topological Evaluation of Four Para-Line Graphs Absolute Pentacene Graphs Using Topological Indices
International Journal of Analysis and Applications, 2023 A real-number to molecular structure mapping is a topological index. It is a graph invariant method for describing physico-chemical properties of molecular structures specific substances. In that article, We examined pentacene’s chemical composition. The
Mukhtar Ahmad +5 more
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Families and clustering in a natural numbers network [PDF]
, 2003 We develop a network in which the natural numbers are the vertices. We use the decomposition of natural numbers by prime numbers to establish the connections. We perform data collapse and show that the degree distribution of these networks scale linearly
Corso, Gilberto
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Polycyclic aromatic hydrocarbons biodegradation using isolated strains under indigenous condition [PDF]
, 2010 The treatment and disposal of domestic sIudge is an expensive and environmentally sensitive problem. It is also a growing problem since sludge production will continue to increase as new wastewzter treatment plants are built due to population ...
Othman, Norzila
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Topological Interference Management with Alternating Connectivity [PDF]
, 2013 The topological interference management problem refers to the study of the capacity of partially connected linear (wired and wireless) communication networks with no channel state information at the transmitters (no CSIT) beyond the network topology, i.e.
Geng, Chunhua, Jafar, Syed A., Sun, Hua
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On the general sum-connectivity index of trees
Applied Mathematics Letters, 2011 The general sum-connectivity index of a graph G is defined as chi(alpha)(G) = Sigma(uvE(G))(d(u) + d(v))(alpha) where du denotes the degree of vertex u in G, E(G) denotes the edge set of G and alpha is a real number. We determine the maximum value for the general sum-connectivity indices of n-vertex trees and the corresponding extremal trees for alpha <
Du, Zhibin, Zhou, Bo, Trinajstić, Nenad
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On the eccentric connectivity coindex in graphs
AIMS Mathematics, 2022 The well-studied eccentric connectivity index directly consider the contribution of all edges in a graph. By considering the total eccentricity sum of all non-adjacent vertex, Hua et al.
Hongzhuan Wang, Xianhao Shi, Ber-Lin Yu
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Topological Indices of Certain Transformed Chemical Structures
Journal of Chemistry, 2020 Topological indices like generalized Randić index, augmented Zagreb index, geometric arithmetic index, harmonic index, product connectivity index, general sum-connectivity index, and atom-bond connectivity index are employed to calculate the bioactivity ...
Xuewu Zuo +4 more
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Computing bounds for the general sum-connectivity index of some graph operations [PDF]
Algebra and Discrete Mathematics, 2020 Summary: Let \(G\) be a graph with vertex set \(V(G)\) and edge set \(E(G)\). Denote by \(d_G(u)\) the degree of a vertex \(u\in V(G)\). The general sum-connectivity index of \(G\) is defined as \(\chi_{\alpha}(G)=\sum_{u_1u_2\in E(G)}(d_G(u_1)+d_G(u_2))^{\alpha}\), where \(\alpha\) is a real number. In this paper, we compute the bounds for general sum-
Akhter, S., Farooq, R.
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