Enrico Carlon,* Péter Lajkó, Heiko Rieger, and Ferenc Iglói Theoretische Physik, Universität des Saarlandes, D-66041 Saarbrücken, Germany Department of Physics, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait Institute of Theoretical Physics, Szeged University, H-6720 Szeged, Hungary Research Institute for Solid State Physics and Optics, P.O. Box 49, H-1525 Budapest, Hungary ~Received 6 J...

The Wiener index of a graph G is defined as W(G) = 1/2∑{x,y}⊆V(G)d(x,y), where V(G) is the set of all vertices of G and for x,y ∈ V(G), d(x,y) denotes the length of a minimal path between x and y. In this paper, we first report our recent results on computing Wiener, PI and Balaban indices of some nanotubes and nanotori. Next, the PI and Szeged indices of a new type of nanostar dendrimers are c...

Bertrand Berche†, Pierre Emmanuel Berche†‡, Ferenc Iglói§‖ and Gábor Palágyi¶ † Laboratoire de Physique des Matériaux , Université Henri Poincaré, Nancy 1 B.P. 239, F-54506 Vandœuvre les Nancy, France ‡ Institut für Physik, Johannes Gutenberg-Universität, Mainz Staudinger Weg 7, 55099 Mainz, Germany § Research Institute for Solid State Physics, H-1525 Budapest, P.O.Box 49, Hungary ‖ Institute f...

Department of Climatology and Landscape Ecology, University of Szeged, P.O.B. 653, 6701, Szeged, Hungary Department of Mechanical Engineering, Informatics Systems & Applications Group, Aristotle University, P.O. Box 483, 54124 Thessaloniki, Greece Department of Meteorology, Eötvös Loránd University, Pázmány Péter st. 1/A, 1117 Budapest, Hungary Mathematical Institute of the Hungarian Academy of...

The sum of distances between all the pairs of vertices in a connected graph is known as the {it Wiener index} of the graph. In this paper, we obtain the Wiener index of edge complements of stars, complete subgraphs and cycles in $K_n$.

1Institute for Biodiagnostics, National Research Council Canada, Winnipeg, Manitoba, Canada, 2Department of Mathematics and Statistics, The University of Winnipeg, Winnipeg, Manitoba, Canada 3Analysis and Stochastics Research Group, Hungarian Academy of Sciences, Bolyai Institute, University of Szeged, Szeged, Hungary 4Dalla Lana School of Public Health, University of Toronto and Ontario Agency...

A new unsymmetric matrix, SZu (unsymmetric Szeged matrix) is proposed by analogy to the matrix CJu (unsymmetric Cluj matrix) [1,2]. It is defined and exemplified both for acyclic and cycle-containing structures. Its relation with the CJu matrix is discussed. The derived Szeged numbers are compared to the Wiener matrixand Cluj matrixderived numbers and tested for separating and correlating abili...