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      저자 : D. Soner Nandappa (검색결과 2 건)
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      • KCI등재

        Independent Transversal Dominating Energy of a Graph

        R. Rangarajan,D. Soner Nandappa,Raghu. V. D. 장전수학회 2021 Advanced Studies in Contemporary Mathematics Vol.31 No.2

        Let G be a simple graph and let V (G) be its vertex set. The independent transversal dominating set or γit-set is a dominating set of G which intersects every maximal independent set of G. Using the γit-set, a diagonal matrix is constructed which is similar to the ones available in the literature for covering set, equitable dominating set and so on. Using the idea of signless Laplacian, one can add this diagonal matrix to the usual adjacency matrix of G to obtain new matrix called independent transversal dominating adjacency matrix denoted by Ait(G). The sum of all the absolute values of eigenvalues of Ait(G) is called independent transversal dominating energy denoted by Eit(G). In the present paper, some spectral properties of Ait(G) are obtained. Some upper and lower bounds for the largest eigenvalue of Ait(G) and Eit(G) are derived. Eit(G) is obtained for some standard graphs.

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        Some Properties of q-Distance Energy

        M. R. Rajesh Kanna,R. Pradeep Kumar,Soner Nandappa D,Ismail Naci CANGUL 장전수학회 2020 Advanced Studies in Contemporary Mathematics Vol.30 No.2

        Graphs are nowadays frequently used in modelling. Especially the sub area of graph theory called the molecular graph theory deals with physicochemical proper- ties of chemical substances by means of mathematical methods. Three main methods to study graphs mathematically are to make use of the vertex degrees, distances and matrices. The classical graph energy was dened 1978 by I. Gutman and has a large number of applications in chemistry and physics. In this paper, a recently dened new type of energy called q-distance energy by means of distances and matrices is studied and q-distance energies of star graph, complete graph, crown graph, cocktail party graph, complete bipartite graph, windmill graph are computed.

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