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 Benzene Physicochemical Properties Using Zagreb Upsilon Indices
(De Gruyter Poland Sp Z O O, 2025) Ciftci, Idris; Yamac, Kerem; Denizler, Ismail Hakki
Quantitative structure-property relationship (QSPR) frameworks leverage topological indices to model the physicochemical attributes of molecular structures. In this study, we introduce the concept of upsilon degree and define the Zagreb upsilon indices based on this concept. Our findings demonstrate that the second Zagreb upsilon index exhibits the highest predictive accuracy for the pi-electron energy of benzenes, surpassing existing degree-based topological indices with correlation coefficients exceeding 0.93. This accuracy was measured using statistical correlation analysis, and a direct comparison with the Randi & cacute; and geometric-arithmetic indices further supports the superior performance of the second Zagreb upsilon index. Furthermore, structural sensitivity and abruptness analyses, which assess the stability and variation of an index across different molecular structures, indicate that Zagreb upsilon indices offer superior performance compared to alternative indices. These results suggest that Zagreb upsilon indices have significant potential as a new and effective tool for QSPR research.
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.