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- Ali Reza Ashrafi, Tomislav Doslic, Asma Hamzeh
- Discrete Applied Mathematics
- 2010

Recently introduced Zagreb coindices are a generalization of classical Zagreb indices of chemical graph theory. We explore here their basic mathematical properties and present explicit formulae for these new graph invariants under several graph operations .

- Tomislav Doslic, Damir Vukicevic
- Discrete Applied Mathematics
- 2007

- Yaser Alizadeh, Ali Iranmanesh, Tomislav Doslic
- Discrete Mathematics
- 2013

We introduce a modification of the Harary index where the contributions of vertex pairs are weighted by the sum of their degrees. After establishing basic mathematical properties of the new invariant, we proceed by finding the extremal graphs and investigating its behavior under several standard graph products.

- Damir Vukicevic, Tomislav Doslic
- Australasian J. Combinatorics
- 2007

- Franka Miriam Brückler, Tomislav Došlić, Ante Graovac, Ivan Gutman
- 2011

A new class of distance–based molecular structure descriptors is put forward, aimed at eliminating a general shortcoming of the Wiener and Wiener–type indices, namely that the greatest contributions to their numerical values come from vertex pairs at greatest distance. The Q-indices, considered in this work, consist of contributions of vertex pairs that… (More)

- Tomislav Doslic, Dragutin Svrtan, Darko Veljan
- Discrete Mathematics
- 2004

A secondary structure is a planar, labeled graph on the vertex set {1; : : : ; n} having two kind of edges: the segments [i; i + 1], for 1 6 i 6 n − 1 and arcs in the upper half-plane connecting some vertices i; j, i 6 j, where j − i ¿ l, for some ÿxed integer l. Any two arcs must be totally disjoint. We enumerate secondary structures with respect to their… (More)

- Douglas J. Klein, Tomislav Doslic, Danail Bonchev
- Discrete Applied Mathematics
- 2007

Valence-weightings are considered for shortest-path distance moments, as well as related weightings for the so-called " Wiener " polynomial. In the case of trees the valence-weighted quantities are found to be expressible as a combination of unweighted quantities. Further the weighted quantities for a so-called " thorny " graph are considered and shown to… (More)

- Zahra Yarahmadi, Tomislav Doslic, Ali Reza Ashrafi
- Discrete Applied Mathematics
- 2010

- Mohammad Ali Hosseinzadeh, Ali Iranmanesh, Tomislav Doslic
- Electronic Notes in Discrete Mathematics
- 2014

The Narumi-Katayama index of a graph G, denoted by NK(G), is equal to the product of the degrees of the vertices of G. In this paper we compute this index for Splice and Link of two graphs. At least with use of Link of two graphs, we compute this index for a class of dendrimers. With this method, the NK index for other class of dendrimers can be computed… (More)