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۱Eccentric connectivity index: extremal graphs and values
نویسنده(ها): ، ، ، ، ، ،
اطلاعات انتشار: Iranian Journal of Mathematical Chemistry، اول،شماره۲، ۲۰۱۰، سال
تعداد صفحات: ۱۲
Eccentric connectivity index has been found to have a low degeneracy and hence a significant potential of predicting biological activity of certain classes of chemical compounds. We present here explicit formulas for eccentric connectivity index of various families of graphs.We also show that the eccentric connectivity index grows at most polynomially with thenumber of vertices and determine the leading coefficient in the asymptotic behavior.

۲Topological Compression Factors of 2−Dimensional TUC4C8(R) Lattices and Tori
اطلاعات انتشار: Iranian Journal of Mathematical Chemistry، اول،شماره۲، ۲۰۱۰، سال
تعداد صفحات: ۸
We derived explicit formulae for the eccentric connectivity index and Wiener index of2−dimensional square–octagonal TUC4C8(R) lattices with open and closed ends. Newcompression factors for both indices are also computed in the limit N→∞.

۳On Discriminativity of Zagreb Indices
نویسنده(ها): ، ، ،
اطلاعات انتشار: Iranian Journal of Mathematical Chemistry، سوم،شماره۱، ۲۰۱۲، سال
تعداد صفحات: ۱۰
Zagreb indices belong to better known and better researched topological indices. We investigate here their ability to discriminate among benzenoid graphs and arrive at some quite unexpected conclusions. Along the way we establish tight (and sometimes sharp) lower and upper bounds on various classes of benzenoids.

۴Chain Hexagonal Cacti: Extremal With Respect To The Eccentric Connectivity Index
نویسنده(ها): ، ، ، ، ، ،
اطلاعات انتشار: Iranian Journal of Mathematical Chemistry، چهارم،شماره۱، ۲۰۱۳، سال
تعداد صفحات: ۱۴
In this paper we present explicit formulas for the eccentric connectivity index of three classes of chain hexagonal cacti. Further, it is shown that the extremal chain hexagonal cacti with respect to the eccentric connectivity index belong to one of the considered types. Some open problems and possible directions of further research are mentioned in the concluding section.
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