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...

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...

For a (molecular) graph, the first Zagreb index M1 is equal to the sum of squares of the vertex degrees, and the second Zagreb index M2 is equal to the sum of products of degrees of pairs of adjacent vertices. In this paper, we study the Zagreb indices of n-vertex connected graphs with k cut vertices, the upper bound for M1and M2-values of n-vertex connected graphs with k cut vertices are deter...

In this paper, the effects on the first general Zagreb index are observed when some operations, such as edge moving, edge separating and edge switching are applied to the graphs. Moreover, we obtain the majorization theorem to the first general Zagreb indices between two graphic sequences. Furthermore, we illustrate the application of these new properties, and obtain the largest or smallest fir...

Here we report horizontal symptomatic transmission of the Leningrad-Zagreb (L-Zagreb) mumps vaccine virus. Children who were the source of transmission had been vaccinated with the MMR vaccine (Serum Institute of India) contained L-Zagreb mumps virus. This is the first report of horizontal symptomatic transmission of this vaccine. The etiology of all seven contact cases was confirmed by epidemi...

Klinički bolnica Sveti Duh, Odjel za kliničku imunologiju, pulmologiju i reumatologiju, Referentni centar za kliničku alergologiju, Klinika za dječje bolesti Zagreb, Odjel za pulmologiju, alergologiju, imunologiju i reumatologiju, Dječja bolnica Srebrnjak, Odjel za kliničko-laboratorijsku dijagnostiku, Referentni centar za kliničku alergologiju djece, Klinička bolnica Sveti Duh, Imunološki labo...

The edge version of traditional first Zagreb index is known as first reformulated Zagreb index. In this paper, we analyze and compare various lower and upper bounds for the first reformulated Zagreb index and we propose new lower and upper bounds which are stronger than the existing and recent results [Appl. Math. Comp. 273 (2016) 16-20]. In addition, we prove that our bounds are superior in co...

The first and second Zagreb indices of a graph are equal, respectively, to the sum of squares of the vertex degrees, and the sum of the products of the degrees of pairs of adjacent vertices. We now consider analogous graph invariants, based on the second degrees of vertices (number of their second neighbors), called leap Zagreb indices. A number of their basic properties is established.

Adresa za dopisivanje Nada Galić Sveučilište u Zagrebu Stomatološki fakultet Zavod za endodonciju i restorativnu stomatologiju Gundulićeva 5, 10 000 Zagreb [email protected] Sažetak Svrha rada bila je ispitati genotoksično djelovanje pet dentinskih adheziva: Adper Single Bonda, Adper Single Bonda 2, Prompt L-popa, Excitea i OptiBonda Solo Plus. Ispitivanje genotoksičnosti provedeno je na humanim l...