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      저자 : Merve ASCIOGLU (검색결과 2 건)
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        Sigma Index and Forgotten Index of the Subdivision and r-Subdivision Graphs

        Merve ASCIOGLU,Naci CANGUL 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.3

        Topological graph indices are defined and used by mathematicians and chemists to obtain some chemical properties of a molecule under consideration by calculating the related topological index obtained from the graph modelling the molecule. This saves one from a lot of laboratory work and its labor and cost. In this paper, we concentrate on two of these topological graph indices, namely the sigma index and the forgotten index of a graph. We calculate these two indices for the subdivision and r-subdivision graphs and give examples for some well-known graph classes.

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        Omega Invariant of Union, Join and Corona Product of Two Graphs

        Merve ASCIOGLU,Musa DEMIRCI,Ismail Naci CANGUL 장전수학회 2020 Advanced Studies in Contemporary Mathematics Vol.30 No.3

        Graphs nowadays are getting a lot of attention due to their applications in all areas of science including physics, chemistry, pharmacology, network science, neuroscience, social sciences, etc. There are several mathematical methods used in graph theory to obtain such applications. Nearly in half of them, the vertex degrees and the degree sequences play an important role. The graph products are very useful tools as they help us to calculate several properties of large graphs by means of smaller graphs. Recently, a new topological graph invariant named as omega was defined in terms of the vertex degrees, that is degree sequence. In this paper, the degree sequences of the union of some special graph classes are given. Recalling the degree sequences of the join and corona products of two special graph classes from literature, the omega invariants of the union, join and corona products of two special graphs are obtained. Also for each of these graph products, results giving the omega values and the number of faces for general graphs are given.

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