83 citations · 248 across the 19 of their papers we have counts for
10 papers · 2 filters
Laplacian Estrada index of trees
Aleksandar Ilic, Bo Zhou
Let be a simple graph with vertices and let be the eigenvalues of its Laplacian matrix. The Laplacian…
On the extremal properties of the average eccentricity
Aleksandar Ilic
The eccentricity of a vertex is the maximum distance from it to another vertex and the average eccentricity of a graph is the mean value of eccentricities of all vert…
Generalizations of Wiener polarity index and terminal Wiener index
Aleksandar Ilic, Milovan Ilic
In theoretical chemistry, distance-based molecular structure descriptors are used for modeling physical, pharmacologic, biological and other properties of chemical compounds. We in…
On the Wiener index and Laplacian coefficients of graphs with given diameter or radius
Aleksandar Ilic, Andreja Ilic, Dragan Stevanovic
Let be a simple undirected -vertex graph with the characteristic polynomial of its Laplacian matrix , . It is we…
The largest Hosoya indices of unicyclic graphs
Guihai Yu, Lihua Feng, Aleksandar Ilic
The Hosoya index of a graph is defined as the total number of edge independent sets of . In this paper, we extend the research of [J. Ou, On extremal unicyclic molec…
The weighted vertex PI index
Aleksandar Ili\' c, Nikola Milosavaljevi\' c
The vertex PI index is a distance--based molecular structure descriptor, that recently found numerous chemical applications. In order to increase diversity of this topological inde…
On the clique number of integral circulant graphs
Milan Bašić, Aleksandar Ilić
The concept of gcd-graphs is introduced by Klotz and Sander, which arises as a generalization of unitary Cayley graphs. The gcd-graph has vertices …
New results on the energy of integral circulant graphs
Aleksandar Ilic, Milan Basic
Circulant graphs are an important class of interconnection networks in parallel and distributed computing. Integral circulant graphs play an important role in modeling quantum spin…
Eccentric connectivity index
Aleksandar Ilić
The eccentric connectivity index is a novel distance--based molecular structure descriptor that was recently used for mathematical modeling of biological activities of divers…
On Distance Spectral Radius and Distance Energy of Graphs
Bo Zhou, Aleksandar Ilic
For a connected graph, the distance spectral radius is the largest eigenvalue of its distance matrix, and the distance energy is defined as the sum of the absolute values of the ei…