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 of the respective graph. In this paper we present the lower bound on M1 and M2 among all unicyclic graphs of given order, maximum degree, and cycle length, and characterize graphs for which th...

P. Pervan,1,* P. Lazić,2,4,† M. Petrović,1 I. Šrut Rakić,1 I. Pletikosić,1 M. Kralj,1,4 M. Milun,1 and T. Valla3 1Institut za fiziku, Bijenička 46, HR-10000, Zagreb, Croatia, 2Institut Ruđer Bošković, Bijenička 54, 10000, Zagreb, Croatia, 3Department of Condensed Matter Physics & Materials Science, Brookhaven National Laboratory, Upton, New York 11973, USA 4Center of Excellence for Advanced Mat...

For a simple graph G with n vertices and m edges, the first Zagreb index and the second Zagreb index are defined as M1(G) = ∑ v∈V d(v) 2 and M2(G) = ∑ uv∈E d(u)d(v). In [34], it was shown that if a connected graph G has maximal degree 4, then G satisfies M1(G)/n = M2(G)/m (also known as the Zagreb indices equality) if and only if G is regular or biregular of class 1 (a biregular graph whose no ...

The authors Miličević et al. introduced the reformulated Zagreb indices [1], which is a generalization of classical Zagreb indices of chemical graph theory. In this paper, we mainly consider the maximum and minimum for the first reformulated index of graphs with connectivity at most k. The corresponding extremal graphs are characterized.

Tricaine methane-sulfonate (MS-222) application in fish anaesthesia By N. Topic Popovic, I. Strunjak-Perovic, R. Coz-Rakovac, J. Barisic, M. Jadan, A. Persin Berakovic and R. Sauerborn Klobucar Laboratory of Ichthyopathology – Biological Materials, Division for Materials Chemistry, Rudjer Boskovic Institute, Zagreb, Croatia; Department of Anaesthesiology, University Hospital Clinic, Zagreb, Cro...

Adresa za dopisivanje Danijela Matošević Sveučilište u Zagrebu Stomatološki fakultet Gundulićeva 5, 10 000 Zagreb [email protected] Sažetak U istraživanju se željelo odrediti spektralna područja za lasersku ekscitaciju otopina protoporfirina IX (PP-a), koproporfirina (CP-a) i uroporfirina (UP-a) s različitim pH-vrijednostima. Drugi je cilj bio usporediti spektre laserski inducirane fluorescenci...

Jurica Zucko1,3†, Antonio Starcevic1,3†, Janko Diminic1, Mouhsine Elbekali3, Mohamed Lisfi3, Paul F. Long2, John Cullum3 and Daslav Hranueli1* Faculty of Food Technology and Biotechnology, University of Zagreb, Pierottijeva 6, HR-10000 Zagreb, Croatia School of Pharmacy, University of London, 29/39 Brunswick Square, London WC1N 1AX, United Kingdom Department of Genetics, University of Kaisersla...

Rapid, accurate, and direct determination of total lycopene content in tomato paste D. Bicanic Laser Photoacoustic Laboratory, Division of Biophysics, Department of Agrotechnology and Food Sciences, Wageningen University and Research Centre, Transitorium, Dreijenlaan 3, 6703 HA Wageningen, The Netherlands and Faculty of Food Technology and Biotechnology, University of Zagreb, HR-10000 Zagreb, P...