Let G be a graph. The first Zagreb polynomial M1(G, x) and the third Zagreb polynomial M3(G, x) of the graph G are defined as:     ( ) ( , ) [ ] e uv E G G x x d(u) + d(v) M1 , ( , )  euvE(G) G x x|d(u) - d(v)| M3 . In this paper, we compute the first and third Zagreb polynomials of Cartesian product of two graphs and a type of dendrimers.

Reumatizam 2010. 57(2) 1Klinika za reumatske bolesti i rehabilitaciju Referentni centar MZSS RH za reumatoidni artritis Klinički bolnički centar Zagreb Kišpatićeva 12 10000 Zagreb 2Klinika za reumatologiju, fi zikalnu medicinu i rehabilitaciju Referentni centar MZSS RH za spondiloartropatije Klinička bolnica “Sestre milosrdnice” Vinogradska 29 10000 Zagreb SPONZORIRANO PRIOPĆENJE SPONSORED COMM...

In theoretical chemistry, the researchers use graph models to express the structure of molecular, and the Zagreb indices and multiplicative Zagreb indices defined on molecular graph G are applied to measure the chemical characteristics of compounds and drugs. In this paper, we present the exact expressions of multiplicative Zagreb indices for certain important chemical structures like nanotube,...

Darko Kastelan† & Mirko Korsic †Author for correspondence Medical University of Zagreb, Department of Endocrinology, University Hospital Zagreb, Kispaticeva 12, 10000 Zagreb, Croatia Tel.: +385 12 421 867; Fax: +385 12 421 867; [email protected] ‘Recent discoveries of several new extracellular molecules have advanced our knowledge of osteoblast–osteoclast interaction and make them a promising t...

Au tor za ko res pon den ci ju/Corresponding aut hor: Damir Strapajević, mag. med, techn., Clinical hospital Centre Zagreb, University of Zagreb, Faculty of Medicine, Master Diploma Course, 10000 Zagreb, Croatia • E-mail:[email protected] Received November 2nd 2014; Accepted October 20th 2015; Procjena utjecaja rada u integriranoj bolničkoj hitnoj službi na zdravlje i radnu sposobnost djel...

Branko Gumhalter,1,* Vjekoslav Kovač,2 Fabio Caruso,3 Henry Lambert,3 and Feliciano Giustino3 1Institute of Physics, HR-10000 Zagreb, Croatia 2Department of Mathematics, University of Zagreb, HR-10000 Zagreb, Croatia 3Department of Materials, University of Oxford, Parks Road, Oxford OX1 3PH, United Kingdom (Received 15 February 2016; revised manuscript received 27 April 2016; published 5 July 2...

O.Polasek, I.Kolcic, B.Kolaric and I.Rudan Department of Medical Statistics, Epidemiology and Medical Informatics, ‘Andrija Stampar’ School of Public Health, Medical School, University of Zagreb, Rockefellerova 4, 10 000 Zagreb, Croatia, Department of Public Health Sciences, University of Edinburgh Medical School, Teviot Place, Edinburgh EH8 9AG, UK and Croatian Institute of Public Health, Rock...

let g be a graph. the first zagreb m1(g) of graph g is defined as: m1(g) = uv(g) deg(u)2. in this paper, we prove that each even number except 4 and 8 is a first zagreb index of a caterpillar. also, we show that the fist zagreb index cannot be an odd number. moreover, we obtain the fist zagreb index of some graph operations.

The Zagreb indices are among the oldest and the most famous topological molecular structure-descriptors. The first Zagreb index is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index is equal to the sum of the products of the degrees of pairs of adjacent vertices of the respective graph. In this paper, we characterize the extremal graphs with maximal, sec...