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Fixed-Order Chemical Trees with Given Segments and Their Maximum Multiplicative Sum Zagreb Index

open access: yesMathematics
Topological indices are often used to predict the physicochemical properties of molecules. The multiplicative sum Zagreb index is one of the multiplicative versions of the Zagreb indices, which belong to the class of most-examined topological indices ...
Akbar Ali   +4 more
doaj   +4 more sources

The inverse Wiener polarity index problem for chemical trees [PDF]

open access: yesPLoS One, 2018
The Wiener polarity number (which, nowadays, known as the Wiener polarity index and usually denoted by Wp) was devised by the chemist Harold Wiener, for predicting the boiling points of alkanes.
Z. Du, Akbar Ali
semanticscholar   +2 more sources

Equienergetic chemical trees [PDF]

open access: yesJournal of the Serbian Chemical Society, 2004
The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G. Two graphs, G 1 and G 2, are said to be equienergetic if E(G 1) = E(G 2).We report here the results of the search for pairs of equienergetic acyclic molecular graphs (
Brankov Vladimir   +2 more
doaj   +4 more sources

Exponential second Zagreb index of chemical trees [PDF]

open access: yesTransactions on Combinatorics, 2021
‎Cruz‎, ‎Monsalve and Rada [Extremal values of vertex-degree-based topological indices of chemical trees‎, ‎Appl‎. ‎Math‎. ‎Comput‎. ‎380 (2020) 125281] posed an open problem to find the maximum value of the exponential second Zagreb index for chemical ...
Selvaraj Balachandran, Tomas Vetrik
doaj   +2 more sources

Equiseparable chemical trees [PDF]

open access: yesJournal of the Serbian Chemical Society, 2003
Let n1(e|T) and n2(e|T) denote the number of vertices of a tree T, lying on the two sides of the edge e. Let T1 and T2 be two trees with equal number of vertices, let e be an edge of T1 and f an edge of T2.
BORIS FURTULA   +2 more
doaj   +4 more sources

Extremal Chemical Trees

open access: yesZeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 2002
Avariety of molecular-graph-based structure-descriptors were proposed, in particular the Wiener index W, the largest graph eigenvalue λ1, the connectivity index χ, the graph energy E and the Hosoya index Z, capable of measuring the branching of the ...
Dieter Rautenbach   +2 more
exaly   +5 more sources

Two Degree Distance Based Topological Indices of Chemical Trees

open access: yesIEEE Access, 2019
Let G = (VG, EG) be a simple and connected graph. The eccentric connectivity index of G is represented as ξc(G) = Σx∈VG degG(x)ecG(x), where degG(x) and ecG(x) represent the degree and the eccentricity of x, respectively.
Shehnaz Akhter
doaj   +2 more sources

Extrafloral Nectaries in Woody Plants: Toward an Integrated Framework for Ant-Mediated Plant Defense [PDF]

open access: yesPlants
Extrafloral nectaries (EFNs)—secretory structures that recruit predatory arthropods as indirect defenders against herbivory—have been studied almost exclusively in herbaceous systems, leaving a critical gap in our understanding of plant defense in woody ...
Fangming Liu   +3 more
doaj   +2 more sources

Hyper-Wiener index and Laplacian spectrum [PDF]

open access: yesJournal of the Serbian Chemical Society, 2003
The hyper-Wiener index WWW of a chemical tree T is defined as the sum of the product n1 n2 n3, over all pairs υ,ν of vertices of T, where n1 and n2 are the number of vertices of T, lying on the two sides of the path which connects υ and ν, and n3 is the ...
Gutman Ivan
doaj   +3 more sources

On the Sombor index of chemical trees

open access: yes, 2021
Molecular descriptors are mathematical values used in evaluation and prediction of properties of chemical compounds. They are used to describe the structure and shape of molecules of even more not yet synthesized compounds and so play significant role in
Zana Kovijanic-Vukicevic
semanticscholar   +1 more source

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