Yazar "Togan, M." seçeneğine göre listele

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    Some graph theoretical properties over zero-divisor graphs of special finite commutative rings
    (2012) Akgüneş, Nihat; Togan, M.
    Let R be a commutative ring with identity and let ?(R) be the set of zero-divisors of R. It has been widely studied the notion of the zero-divisor graph of R which is defined by ?T(R) = ?(R) \{0} such that the 'distinct vertices x and y are adjacent if and only if xy = 0. As main results of this paper, by considering R = ? q×? q for different primes p and q, we prove some graph theoretical properties over ?(? p × ? q) which are the generalizations of the results in [12].
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    Öğe
    Zagreb indices and multiplicative zagreb indices of double graphs of subdivision graphs
    (TURKIC WORLD MATHEMATICAL SOC, 2019) Togan, M.; Yurttas, A.; Cevik, A. S.; Cangul, I. N.
    Let G be a simple graph. The subdivision graph and the double graph are the graphs obtained from a given graph G which have several properties related to the properties of G. In this paper, the first and second Zagreb and multiplicative Zagreb indices of double graphs, subdivision graphs, double graphs of the subdivision graphs and subdivision graphs of the double graphs of G are obtained. In particular, these numbers are calculated for the frequently used null, path, cycle, star, complete, complete bipartite or tadpole graph.