Graph theory and applications

The concept of Sombor index (SO) was recently introduced by Gutman in the chemical graph theory. It is a vertex-degree-based topological index and is denoted by Sombor index SO: SO=SO(G)=∑vivj∈E(G)dG(vi)2+dG(vj)2, where dG(vi) is the degree of vertex vi in G. Here, we present novel lower and upper bounds on the Sombor…

• İSMAİL NACİ CANGÜL

The concept of Sombor index (SO) was recently introduced by Gutman in the chemical graph theory. It is a vertex-degree-based topological index and is denoted by Sombor index SO: SO=SO(G)=∑vivj∈E(G)dG(vi)2+dG(vj)2, where dG(vi) is the degree of vertex vi in G. Here, we present novel lower and upper bounds on the Sombor…

• AHMET SİNAN ÇEVİK

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• SÜLEYMAN EDİZ

Abstract Recently, Todeschini et al. (Novel Molecular Structure Descriptors - Theory and Applications I, pp. 73-100, 2010), Todeschini and Consonni (MATCH Commun. Math. Comput. Chem. 64:359-372, 2010) have proposed the multiplicative variants of ordinary Zagreb indices, which are defined as follows: ∏ 1 = ∏ 1 ( G ) =…

• AYSUN YURTTAŞ GÜNEŞ
• İSMAİL NACİ CANGÜL

Abstract Recently, Todeschini et al. (Novel Molecular Structure Descriptors - Theory and Applications I, pp. 73-100, 2010), Todeschini and Consonni (MATCH Commun. Math. Comput. Chem. 64:359-372, 2010) have proposed the multiplicative variants of ordinary Zagreb indices, which are defined as follows: ∏ 1 = ∏ 1 ( G ) =…

• İSMAİL NACİ CANGÜL

Abstract Cancer is a deadly disease. There is no drug yet for the treatment of some types of cancer. New drug trials are being conducted to treat this disease. One of them is HDAC‐based multi‐target drugs. Topological indices (TIs) are the numerical descriptors of a molecular structure obtained by the molecular graph.…

• ÖZGE ÇOLAKOĞLU HAVARE

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• ZHİBİN DU

A topological index of graph G is a numerical quantity which describes its topology. If it is applied to molecular structure of a chemical compounds then it reflects the theoretical properties of the chemical compounds. In this article, well-known degree based topological indices are applied on chemical structures of…

• MURAT CANCAN

A topological index of graph G is a numerical quantity which describes its topology. If it is applied to molecular structure of a chemical compounds then it reflects the theoretical properties of the chemical compounds. In this article, well-known degree based topological indices are applied on chemical structures of…

• MURAT CANCAN

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• ŞERİFE BURCU BOZKURT ALTINDAĞ

The eccentric connectivity index, proposed by Sharma, Goswami and Madan, has been employed successfully for the development of numerous mathematical models for the prediction of biological activities of diverse nature. We now report mathematical properties of the eccentric connectivity index. We establish various lowe…

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• ZHİBİN DU