The multiplicative sum Zagreb index is defined for a simple graph G as the product of the terms dG(u)+dG(v) over all edges uv∈E(G) , where dG(u) denotes the degree of the vertex u of G . In this paper, we present some lower bounds for the multiplicative sum Zagreb index of several graph operations such as union, join, corona product, composition, direct product, Cartesian product and strong pro...

In this paper we establish some general multiple Opial-type inequalities involving the Canavati fractional derivatives. In some cases the best possible constants are discussed. 1 Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Split, Croatia. E-mail address: [email protected] 2 Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia. E-mail address:...

Sven Menčik, DVM, assistant, e-mail: [email protected], Velimir Sušić, PhD, DVM, full professor with tenure, Igor Štoković, PhD, DVM, associate professor, Anamaria Ekert Kabalin, PhD, DVM, associate professor, Department of Animal Husbandry, Mario Ostović, PhD, DVM, senior assistant junior researcher, Department of Animal Hygiene, Behaviour and Welfare, Faculty of Veterinary Medicine, Universi...

Let G be a simple connected molecular graph with vertex set V(G) and edge set E(G). One important modification of classical Zagreb index, called hyper Zagreb index HM(G) is defined as the sum of squares of the degree sum of the adjacent vertices, that is, sum of the terms 2 [ ( ) ( )] G G d u d v  over all the edges of G, where ( ) G d u denote the degree of the vetex u of G. In this paper, th...

Mladen Pavičić, Brendan D. McKay, Norman D. Megill, and Krešimir Fresl Department of Physics, Institute for Theoretical Atomic, Molecular, and Optical Physics, Harvard University and Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA and Chair of Physics, Faculty of Civil Engineering, University of Zagreb, 10000 Zagreb, Croatia School of Computer Science, Australia...

BACKGROUND The purpose of this paper was to compare outpatient consumption and quality of psychotropic drug prescribing between Croatia and Bosnia & Herzegovina 2006-2010. METHODS Data on drug utilization from Zagreb Municipal Pharmacy and Sarajevo Public Pharmacy were used to calculate the number of defined daily doses (DDD) and DDD per 1000 inhabitants per day (DDD/TID) using the WHO Anatom...

The reformulated Zagreb indices of a graph are obtained from the classical Zagreb indices by replacing vertex degrees with edge degrees, where the degree of an edge is taken as the sum of degrees of the end vertices of the edge minus 2. In this paper, we study the behavior of the reformulated first Zagreb index and apply our results to different chemically interesting molecular graphs and nano-...

Neven LJubičić, Alen Bišćanin, Marko Nikolić, Vladimir Supanc, Davor Hrabar, Tajana Pavić and Marko Boban Interventional Gastroenterology Unit, Division of Gastroenterology, Department of Internal Medicine, Medical and Dental School University of Zagreb, «Sestre milosrdnice» Clinical Hospital, Zagreb, Croatia Corresponding Author: Prof. Neven LJubičić, MD, PhD, FACG, Department of Internal Medi...

Todeschini et al. have recently suggested to consider multiplicative variants of additive graph invariants, which applied to the Zagreb indices would lead to the multiplicative Zagreb indices of a graph G, denoted by ( ) 1  G and ( ) 2  G , under the name first and second multiplicative Zagreb index, respectively. These are define as     ( ) 2 1 ( ) ( ) v V G G G d v and ( ) ( ) ( ) ( ) 2...

The author suggests revival and further development of old method who had proven to be of significant benefit in differential dignostics of nerve lesions and displayed significant research possibilities. The basic idea is the unification of electromyographic results with neural stimulation. Therefore the author suggests again, to use new name Electromyoneurography for the old methods. Correspon...