Applications in chemistry motivated mathematicians to define different topological indices for types of graphs. The Hyper-Zagreb index (HM) is an important tool as it integrates the first and second Zagreb indices. In this paper, we characterize trees unicyclic graphs with four eight greatest HM-value, respectively.

The paper deals with the Zagreb Terminal Airspace capacity. The basic scenario has been modelled using the RAMSPlus simulator and capacity has been calculated by using the WMSE method which takes into account the peakhour workload based on air traffic controllers’ tasks. The problem of traffic congestion has been analyzed and several case study scenarios have been simulated. The conducted simul...

In this paper we report the results of the microbiological analysis of the samples taken from the mummy from the collection of the Archaeological museum in Zagreb, Croatia. Samples were taken from specific places such as oral, orbital, abdominal cavity and bandages surrounding the mummy, and analyzed in Department of Microbiology and Hospital Infections in University Hospital "Dubrava" in Zagre...

I. Živković,1 D. M. Djokić,2 M. Herak,1,3 D. Pajić,4,5 K. Prša,2 P. Pattison,6 D. Dominko,1 Z. Micković,2 D. Cinčić,7 L. Forró,2 H. Berger,2 and H. M. Rønnow2 1Institute of Physics, Bijenǐka 46, HR-10000 Zagreb, Croatia 2Institute of Condensed Matter Physics, EPFL, CH-1015 Lausanne, Switzerland 3Jožef Stefan Institute, Jamova 39, SL-1000 Ljubljana, Slovenia 4Department of Physics, Faculty of Sc...

†School of Business and Research Center for Econophysics, East China University of Science and Technology, Shanghai 200237, China ‡Department of Physics and Center for Polymer Studies, Boston University, Boston, MA 02215, USA §Grupo de Física da Matéria Condensada, Núcleo de Ciências Exatas, Universidade Federal de Alagoas, Campus Arapiraca, 57309-005 Arapiraca, AL, Brazil ¶Faculty of School En...

The first and second zagreb indices of a graph G are defined as M1(G) = ∑ uv∈E(G) [deg(u) + deg(v)] (or equivalently ∑ u∈V (G) [deg(u)2] and M2(G) = ∑ uv∈E(G) [deg(u)deg(v)] respectively. In this paper, we have obtained the first and second zagreb indices of the generalized complementary prisms Gm+n,Gm,n,G m,m and Gm,m. MSC: 05C15, 05C38.

For a (molecular) graph, the first Zagreb index M1 is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacent vertices. It is well known that for connected or disconnected graphs with n vertices and m edges, the inequality M2/m ≥ M1/n does not always hold. Here we show that this relati...

Ognjen Ilic,1,* Marinko Jablan,2 John D. Joannopoulos,1 Ivan Celanovic,3 Hrvoje Buljan,2 and Marin Soljačić1 1Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA 2Department of Physics, University of Zagreb, Bijenička c. 32, 10000 Zagreb, Croatia 3Institute for Soldier Nanotechnologies, Massachusetts Institute of Technology,...

1Boris Brkljačić, MD, Professor of Radiology. Department of Diagnostic and Interventional Radiology, University Hospital “Dubrava”, Medical School, University of Zagreb, Zagreb, Croatia. 2Sergio Castellani, Department of Medical and Surgical Critical Care A.O.U. Careggi, associate professor in cardiovascular diseases, chair of angiology, University of Florence, Florence, Italy. 3Colin Deane, Ph...