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Öğe Line Graphs of Monogenic Semigroup Graphs(Hindawi Ltd, 2021) Akgunes, Nihat; Nacaroglu, Yasar; Pak, SedatThe concept of monogenic semigroup graphs G( SM) is firstly introduced by Das et al. (2013) based on zero divisor graphs. In this study, we mainly discuss the some graph properties over the line graph L(G( SM)) of G( SM). In detail, we prove the existence of graph parameters, namely, radius, diameter, girth, maximum degree, minimum degree, chromatic number, clique number, and domination number over L(G( SM)).Öğe Some properties of zero divisor graph obtained by the ring Zp x Zq x Zr(World Scientific Publ Co Pte Ltd, 2019) Akgunes, Nihat; Nacaroglu, YasarThe concept of zero-divisor graph of a commutative ring was introduced by Beck [Coloring of commutating ring, J. Algebra 116 (1988) 208-226]. In this paper, we present some properties of zero divisor graphs obtained from ring Z(p) x Z(q) x Z(r), where p, q and r are primes. Also, we give some degree-based topological indices of this special graph.