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...

1 dr. sc. Ana Kaić, znanstvena novakinja – viša asistentica; prof.dr.sc. Boro Mioč, redoviti profesor; Ante Kasap, dipl.ing.agr., znanstveni novak – asistent; Zavod za specijalno stočarstvo, Sveučilište u Zagrebu Agronomski fakultet, Svetošimunska cesta 25, 10 000 Zagreb, Hrvatska 2 Leopold Živković, student, Preddiplomski studij Animalne znanosti, Sveučilište u Zagrebu Agronomski fakultet, Sve...

Laboratory of Evolutionary Entomology, Institute of Biology, University of Neuchâtel, Rue Emile-Argand 11, CH-2009 Neuchâtel, Switzerland Department of Biodiversity and Conservation, Real Jardín Botánico, CSIC, Plaza de Murillo 2, 28014 Madrid, Spain Department of Botany, Faculty of Sciences, University of Zagreb, Marulićev Trg 20/II, HR-10000 Zagreb, Croatia Laboratory of Evolutionary Botany, ...

1 Laboratory of Brain Imaging, Neurobiology Centre, Nencki Institute of Experimental Biology, Warsaw, Poland 2 Laboratory of Psychophysiology, Department of Neurophysiology, Nencki Institute of Experimental Biology, Warsaw, Poland 3 University of Social Sciences and Humanities, Warsaw, Poland 4 Faculty of Psychology, University of Warsaw, Warsaw, Poland 5 Faculty of Electrical Engineering and C...

Let [Formula: see text] be a graph. A set [Formula: see text] is a distance k-dominating set of G if for every vertex [Formula: see text], [Formula: see text] for some vertex [Formula: see text], where k is a positive integer. The distance k-domination number [Formula: see text] of G is the minimum cardinality among all distance k-dominating sets of G. The first Zagreb index of G is defined as ...

a Department of Gastroenterology and Hepatology, Erasmus MC, Rotterdam, The Netherlands b Referral Center for Paediatric Gastroenterology & Nutrition, Children's Hospital Zagreb, University of Zagreb Medical School, Zagreb, Croatia c Department of Gastroenterology and Liver Diseases, Tel Aviv Sourasky Medical Center, Tel Aviv, Israel d Faculty of Medicine, Department of Gastrointestinal Surgery...

Surveillance of NO2 in Zagreb started in 1994 at five measuring sites. This paper presents the levels and trends of NO2 annual mean values for the period between 1994 and 1998. The obtained data are compared with the recommended and limit values according to the Law on Air Quality Protection in Croatia and the Ordinance on Recommended and Limit Air Quality Values. For the past five years, ever ...

The second Zagreb index of a graph G is an adjacency-based topological index, which is defined as ∑uv∈E(G)(d(u)d(v)), where uv is an edge of G, d(u) is the degree of vertex u in G. In this paper, we consider the second Zagreb index for bipartite graphs. Firstly, we present a new definition of ordered bipartite graphs, and then give a necessary condition for a bipartite graph to attain the maxim...