The second and third geometric-arithmetic indices GA2(G) and GA3(G) of a graph G are defined, respectively, as ∑ uv∈E(G) √ nu(e,G)nv(e,G) 1 2 [nu(e,G)+nv(e,G)] and ∑ uv∈E(G) √ mu(e,G)mv(e,G) 1 2 [mu(e,G)+mv(e,G)] , where e = uv is one edge in G, nu(e,G) denotes the number of vertices in G lying closer to u than to v andmu(e,G) denotes the number of edges in G lying closer to u than to v. The Sz...

The PI index is a graph invariant defined as the summation of the sums of edges of neu and nev over all the edges of connected graph G, where neu is the number of edges of G lying closer to u than to v and nev is the number of edges of G lying closer to v than to u. The index is very simple to calculate and has disseminating power similar to that of the Wiener and the Szeged indices. The compre...

Optical properties and mineralogical composition of different Saharan mineral dust samples: a laboratory study C. Linke, O. Möhler, A. Veres, Á. Mohácsi, Z. Bozóki, G. Szabó, and M. Schnaiter Forschungszentrum Karlsruhe, Institute of Meteorology and Climate Research, P.O. Box 3640, 76021 Karlsruhe, Germany University of Szeged, Faculty of Natural Sciences, Department of Optics and Quantum Elect...

(I.Ch.:) Department of Algebra and Geometry, Palacký University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic (G.Cz. and E.K.H.:) University of Szeged, Bolyai Institute, Szeged, Aradi vértanúk tere 1, HUNGARY–6720. E-mail: [email protected], [email protected], [email protected]

CRISTINA TRANDAFIRESCU1, STEFANA AVRAM1*, CODRUTA SOICA1, ZOLTÁN AIGNER2, GYÉRESI ÁRPÁD3, MIHALY KATA2, CRISTINA DEHELEAN1, ZOLTÁN SZABADAI1, FLORIN BORCAN1 1Faculty of Pharmacy, Victor Babe’ University of Medicine and Pharmacy, 2nd Eftimie Murgu Sq., 300041, Timisoara, Romania 2Faculty of Pharmacy, University of Szeged, 6th Eötvös Str., Szeged, Hungary 3Faculty of Pharmacy, University of Medic...

1Department of Anaesthesiology and Intensive Therapy, Faculty of Medicine, University of Szeged, 6 Semmelweis St., Szeged 6725, Hungary 24th Department of Internal Medicine, Attikon University Hospital, 1 Rimini Str., 12462 Athens, Greece 3Sections of Critical Care Medicine and Infectious Diseases, Medical Microbiology and Pharmacology, University of Manitoba, Winnipeg, MB, Canada 4Department o...

The teaching experience of the revised simplex method in matrix notation on the blackboard leads us to prepare a visualization alternative, useful for the constituting part of the education liturgy. According to our approach the educator does not spend anymore valuable time on boring calculations while the student understands complex mathematical concepts. Our courseware has unique features lik...

Let G be a graph with vertex and edge sets V(G) and E(G), respectively. As usual, the distance between the vertices u and v of a connected graph G is denoted by d(u,v) and it is defined as the number of edges in a minimal path connecting the vertices u and v. Throughout the paper, a graph means undirected connected graph without loops and multiple edges. In chemical graph theory, a molecular gr...

The purpose of this paper is to give an outline of phonetic level annotation and segmentation of Hungarian speech databases at the levels of definition and speech technology. In addition to giving guidance to the definition of the content of a database, the technique of annotation and the procedure of manual segmentation, we also discuss mathematical models of computeraided semi-automatic and a...

In this paper we give a GAP program for computing the Szeged and the PI indices of any graph. Also we compute the Szeged and PI indices of VC(5)C(7) [ p,q] and HC(5)C(7) [ p,q] nanotubes by this program.