Elmas Çizgelerin Bazı Ters Derece Tabanlı Topolojik İndekslerinin Hesaplanması

Abstract

Fen bilimleri, mühendislik bilimleri ve sosyal bilimler gibi birçok farklı bilim dalında çizge teori çalışılmaktadır. Özellikle matematik, kimya, bilgi ve ağ analizi alanlarda çizge teorinin uygulamaları görülmektedir. Son zamanlarda matematiksel kimya alanında bir molekülün kimyasal analizi çizge teorik parametreleri ile hesaplanabilmektedir. Bu parametreler topolojiksel çizge indeksleri olarak tanımlanır. Bu indekslerin farklı özelliklere göre tanımları vardır, örneğin dereceye bağlı topolojiksel indeksler ve dışmerkezliğe dayalı topolojiksel indeksler literatürde çalışılmaktadır. Son zamanlarda ters topolojiksel indeksler tanımlanmıştır. Bu çalışmada, elmas çizgelerin bazı önemli ters derece tabanlı topolojiksel indeks değerleri incelenmiş ve bunlar için tam sonuçlar elde edilmiştir.

Keywords

• Matematiksel kimya
• Kimyasal çizge teori
• Derece tabanlı topolojik indeksler
• Ters topolojik indeksler
• Elmas çizgeler

Computing Some Reverse Degree Based Topological Indices of Diamond Graphs

Abstract

Graph theory is studied in many different branches of science such as science, engineering and social sciences. Applications of graph theory are seen especially in mathematics, chemistry, information and network analysis. Recently, in mathematical chemistry, chemical analysis of a molecule can be calculated with graph theoretical parameters. These parameters are defined as topological graph indices. These indices have definitions according to different properties, for example, degree-based topological indices and eccentricity-based topological indices are studied in the literature. Recently, reverse topological indices have been defined. In this study, some important reverse topological indices of diamond graphs have been studied and exact results have been obtained for them.

Keywords

• Mathematical chemistry
• Chemical graph theory
• Degree-based topological indices
• Reverse topological indices
• Diamond graphs

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