Browsing by Author "Ciftci, Idris"

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Computing M-Polynomial and Topological Indices of Tuhrc4 Molecular Graph
(Sami Publishing Co-spc, 2021) Chaudhry, Faryal; Ehsan, Muhammad; Afzal, Farkhanda; Farahani, Mohammad Reza; Cancan, Murat; Ciftci, Idris
Chemical graph theory has an important role in the development of chemical sciences. A graph is produced from certain molecular structure by means of applying several graphical operations. The local graph parameter is valency, which is defined for every vertex as the number associates with other vertices in a graph, for example an atom in a molecule. The demonstration of chemical networks and chemical compounds with the help of M-polynomials is a novel idea. The M-polynomial of different molecular structures help to compute several topological indices. A topological index is a numeric quantity that describes the whole structure of a molecular graph of the chemical compound and clarifies its physical features, chemical reactivates and boiling activities. In this paper we computed M-Polynomial and topological indices of TUHRC4 Graph, then we recovered numerous topological indices using the M-polynomials.
Degree Based Topological Indices of Tadpole Graph Via M-Polynomial
(Sami Publishing Co-spc, 2021) Chaudhry, Faryal; Ehsan, Muhammad; Afzal, Farkhanda; Farahani, Mohammad Reza; Cancan, Murat; Ciftci, Idris
Chemical graph theory has an important impact on the development of the chemical sciences. A chemical graph is a graph that is produced from some molecular structure by applying some graphical operations. The demonstration of chemical compounds and chemical networks with the M-polynomials is a revolution and the M-polynomial of different molecular structures contributes to evaluating many topological indices. In this paper we worked out M-Polynomial and topological indices of the tadpole graph, then we recovered numerous topological indices using the M-polynomials.
Modeling the Physico-Chemical Characteristics of Benzenes Through the Application of Zagreb Rho Indices
(Bentham Science Publ Ltd, 2025) Ciftci, Idris
Introduction: Quantitative Structure-Property Relationship (QSPR) models play a crucial role in predicting the chemical and physical characteristics of molecules. Methods: This study introduces Zagreb rho indices derived from graph theory to assess the physico-chemical properties of benzenes. The rho degree of vertices in connected graphs was formulated and used to compute these indices. Results: Strong correlations (R> 0.94) were observed between Zagreb rho indices and various molecular properties such as boiling point, molecular weight, and electron energy. Discussion: The findings demonstrate that Zagreb rho indices can serve as reliable predictors within QSPR frameworks, offering structural sensitivity and outperforming traditional topological indices in several aspects.
A Note on Qspr Analysis of Total Zagreb and Total Randic Indices of Octanes
(Sami Publishing Co-spc, 2021) Ediza, Suleyman; Ciftci, Idris; Tas, Ziyattin; Cancan, Murat; Farahani, Mohammad Reza; Aldemir, Mehmet Serif
Topological indices are important tools for QSPR researches. Wiener, Zagreb, and Randic indices are pioneers of topological indices as the most used topological indices in view of chemistry and chemical graph theory. These three topological indices have been used for modeling physical properties of octanes and other chemical molecules. We firstly define k-total distance degree notion, k-total Zagreb and k-total Randic indices in graph theory. We investigated the prediction power of 3-total Zagreb indices and 3-total Randic index by using some physical properties of octanes such as entropy, acentric factor, enthalpy of vaporizatian and standard enthalpy of vaporization. We showed that these 3-total distance degree based novel indices are possible tools for QSPR studies, which they give a reasonably good correlation greater than 0.92 for modeling acentric factor of octanes. We also showed that 3-total indices give a strong correlation with Wiener index and the second Zagreb index.
On K-Regular Edge Connectivity of Chemical Graphs
(de Gruyter Poland Sp Z O O, 2022) Ediz, Suleyman; Ciftci, Idris
Quantitative structure property research works, which are the essential part in chemical information and modelling, give basic underlying topological properties for chemical substances. This information enables conducting more feasible studies between theory and practice. Connectivity concept in chemical graph theory gives information about underlying topology of chemical structures, fault tolerance of molecules, and vulnerability of chemical networks. In this study we first defined two novel types of conditional connectivity measures based on regularity notion: k-regular edge connectivity and almost k-regular edge connectivity in chemical graph theory literature. We computed these new graph invariants for cycles, complete graphs, and Cartesian product of cycles. Our results will be applied to calculate k-regular edge connectivity of some nanotubes which are stated as Cartesian product of cycles. These calculations give information about fault tolerance capacity and vulnerability of these chemical structures.
On K-Total Distance Degrees and K-Total Wiener Polarity Index
(Taylor & Francis Ltd, 2021) Ediz, Suleyman; Ciftci, Idris; Cancan, Murat; Farahani, Mohammad Reza
This study investigates the relationship between classical degree and recently defined k-distance degree, ve-degree and ev-degree concepts in graph theory. We firstly define the k-total distance degree notion and investigate its relation with Zagreb and Wiener polarity indices. One of the main relation is W-3*(T) = 1/2 M-1 (T) + W-p (T) where W-3* (T), M-1 (T) and W-p(T) denotes 3-total Wiener polarity index, the first Zagreb index and Wiener polarity index, respectively for any tree T.