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    On the Eccentric Connectivity Index of Unicyclic Graphs
    (UNIV KASHAN, FAC MATHEMATICAL SCIENCES, 2018) Nacaroglu, Yasar; Maden, Ayse Dilek
    In this paper, we obtain the upper and lower bounds on the eccentricity connectivity index of unicyclic graphs with perfect matchings. Also we give some lower bounds on the eccentric connectivity index of unicyclic graphs with given matching numbers. (c) 2018 University of Kashan Press. All rights reserved
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    THE UPPER BOUNDS FOR MULTIPLICATIVE SUM ZAGREB INDEX OF SOME GRAPH OPERATIONS
    (ELEMENT, 2017) Nacaroglu, Yasar; Maden, A. Dilek
    Let G be a simple graph with vertex set V(G) and edge set E(G). In [7], Eliasi et al. introduced the multiplicative sum Zagreb index of a graph G which is denoted by Pi(*)(1) (G) and is defined by Pi(*)(1)(G) = Pi(uv epsilon V(G)) (d(G)(u) + d(G)(v)) In this paper, we present some upper bounds for the multiplicative sum Zagreb indices of the join, rooted product, corona product, tensor product, Cartesian product, strong product, hierarchical product, lexicographic product of graphs.