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...

SUICIDE AS THE FIRST MANIFESTATION OF FIRST-EPISODE PSYCHOSIS IN 21-YEAR-OLD MAN: A CASE REPORT Maja Vilibić, Dario Bagarić, Branko Kolarić, Kresimir Radic, Marko Curković & Maja Zivkovic University Psychiatric Hospital Vrapce, Zagreb, Croatia Department for Social Medicine and Epidemiology, Medical School, University of Rijeka, Rijeka, Croatia Department of Epidemiology, Teaching Institute of ...

In this paper we study the first Zagreb index in bucket recursive trees containing buckets with variable capacities. This model was introduced by Kazemi in 2012. We obtain the mean and variance of the first Zagreb index and introduce a martingale based on this quantity.

The hyper-Zagreb index of a connected graph G, denoted by HM(G), is defined as HM(G) = ∑ uv∈E(G) [dG(u) + dG(v)] where dG(z) is the degree of a vertex z in G. In this paper, we study the hyper-Zagreb index of four operations on graphs.