Results 1 to 10 of about 73,529 (242)

On neighborhood Zagreb index of product graphs. [PDF]

J Mol Struct, 2021
There is powerful relation between the chemical behaviour of chemical compounds and their molecular structures. Topological indices defined on these chemical molecular structures are capable to predict physical properties, chemical reactivity and biological activity.
Mondal S, De N, Pal A.
europepmc   +4 more sources

On the first Zagreb index and multiplicative Zagreb coindices of graphs [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
For a (molecular) graph G with vertex set V (G) and edge set E(G), the first Zagreb index of G is defined as , where dG(vi) is the degree of vertex vi in G. Recently Xu et al. introduced two graphical invariants and named as first multiplicative Zagreb
Das Kinkar Ch., Akgunes Nihat, Togan Muge, Yurttas Aysun, Cangul I. Naci, Cevik A. Sinan   +5 more
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Generalized Zagreb index of product graphs [PDF]

Transactions on Combinatorics, 2019
‎‎The generalized Zagreb index is an extension of both ordinary and‎ ‎variable Zagreb indices‎. ‎In this paper‎, ‎we present exact formulae‎ ‎for the values of the generalized Zagreb index for product graphs‎.
Mahdieh Azari
doaj   +2 more sources

Data-driven analysis of chemical graph of carbazole and diketopyrrolopyrrole [PDF]

Scientific Reports
Topological indices play a key role in molecular graph theory, consisting of mathematical tools that allocate numerical values to molecular structures.
Zeeshan Saleem Mufti, Azhar Ahmed Khan, Muhammad Asim, A. S. Shflot, Syed Tauseef Saeed, Feyisa Edosa Morga   +5 more
doaj   +2 more sources

Hyper-Zagreb index in fuzzy environment and its application [PDF]

Heliyon
The Zagreb indices (ZIs) are important graph invariants that are used extensively in many different fields in mathematics and chemistry, such as network theory, spectral graph theory, fuzzy graph theory (FGT) and molecular chemistry, etc. The hyper-ZI is
Sk Rabiul Islam, Bandar Bin Mohsin, Madhumangal Pal   +2 more
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Extremal hyper-Zagreb index of trees of given segments with applications to regression modeling in QSPR studies

Alexandria Engineering Journal, 2023
Introduced by Gutman & Trinajstić in 1972, the two well-known Zagreb indices efficiently determine the total π-electron energy of alternant hydrocarbons. The hyper-Zagreb index is a variant of the classical first Zagreb index.
Sakander Hayat, Muhammad Adil Khan, Asad Khan, Haziq Jamil, Muhammad Yasir Hayat Malik   +4 more
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Certain topological indices and polynomials for the semitotal-point graph and line graph of semitotal-point graph for Dutch windmill graph

Indonesian Journal of Combinatorics, 2020
Dutch windmill graph [1, 2] and denoted by Dnm. Order and size of Dutch windmill graph are (n−1)m+1 and mn respectively. In this paper, we computed certain topological indices and polynomials i.e.
Salma Kanwal, Mariam Imtiaz, Ayesha Manzoor, Nazeeran Idrees, Ammara Afzal   +4 more
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Study of Neighborhood Degree-Based Topological Indices via Direct and NM-Polynomial of Starphene Graph

Journal of Function Spaces, 2022
Our objective is to compute the neighborhood degree-based topological indices via NM-polynomial for starphene. In the neighborhood degree-based topological indices, we compute the third version of the Zagreb index; neighborhood second Zagreb index ...
Deeba Afzal, Saira Hameed, Usman Ashraf, Arif Mehmood, Faryal Chaudhry, Dhan Kumari Thapa   +5 more
doaj   +1 more source

Topological Properties of Degree-Based Invariants via M-Polynomial Approach

Journal of Mathematics, 2022
Chemical graph theory provides a link between molecular properties and a molecular graph. The M-polynomial is emerging as an efficient tool to recover the degree-based topological indices in chemical graph theory.
Samirah Alsulami, Sabir Hussain, Farkhanda Afzal, Mohammad Reza Farahani, Deeba Afzal   +4 more
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Maximum Second Zagreb Index Of Trees With Given Roman Domination Number [PDF]

Transactions on Combinatorics, 2023
Chemical study regarding total $\pi$-electron energy with respect to conjugated molecules has focused on the second Zagreb index of graphs. Moreover, in the last half-century, it has gotten a lot of attention.
Ayu Ameliatul Ahmad Jamri, Roslan Hasni, Muhammad Kamran Jamil, Doost Ali Mojdeh   +3 more
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