Elmas Grafların Dışmerkezliğe Dayalı Topolojiksel İndekslerinin Değerleri

Graf teori bilgi, matematik ve kimya gibi bilim alanlarında çalışılmaktadır. Özellikle, kimyasal analiz çalışmaları için en önemli matematiksel araçlardan biridir. Bir topolojik indeks, moleküler yapıdan türetilen bir grafın sayısal tanımlayıcısıdır, ayrıca kimyasal grafların zedelenebilirliği için kullanılır. Bir grafın zedelenebilirliği, grafın bazı tepelerinin ve ayrıtlarının zarar görmesinden sonra grafın dayanıklılığıdır. Tanımlanan bir çok topolojiksel indeks vardır. Bununla beraber, son zamanlarda elmas graflar tanımlanmıştır. Bu çalışmada, elmas grafların dışmerkezliğe dayalı topolojiksel indeksleri için tam sonuçlar elde edilmiştir.

The Values of Eccentricity-Based Topological Indices of Diamond Graphs

Graph theory has been studied different areas such as information,mathematics and chemistry sciences. Especially, it has been the most importantmathematical tools for the study the analysis of chemistry. A topological index has beena numerical descriptor of the molecular structure derived from the correspondingmolecular graph, also it has used vulnerability of chemical graphs. The vulnerability ofa graph has been the reliability of the graph after the disruption of some vertices oredges until breakdown. There are a lot of topological indices which have been defined.Furthermore, the diamond graphs have been defined recently. In this paper, exactformulas for the eccentricity-based topological indices of diamond graphs have beenobtained.

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