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...

AIM To assess the academic performance of students who transferred to the Zagreb School of Medicine from other three medical schools in Croatia. METHODS Academic performance of medical students who moved from Rijeka, Osijek, or Split University Medical Schools to the Zagreb University School of Medicine at the second or third year was compared with academic performance of students enrolled at...

St Georges University of London, London, UK; Department of Vascular Medicine and Cardiology, Academic Medical Centre, Amsterdam, Netherlands; South Australian Health and Medical Research Institute, University of Adelaide, Adelaide, Australia; Department of Gerontology, University of Cambridge, Cambridge, UK; Baylor University, Houston, TX, USA; Department ofPharmacological andBiomolecular Scien...

For a nontrivial graph G, its first and second Zagreb coindices are defined [1], respectively, as M1(G) = ∑ uv ∈E(G) (dG(u)+dG(v)) and M2(G) = ∑ uv ∈E(G) dG(u)dG(v), where dG(x) is the degree of vertex x in G. In this paper, we obtained some new properties of Zagreb coindices. We mainly give explicit formulae for the first Zagreb coindex of line graphs and total graphs. Mathematics Subject Clas...

Born in Rijeka and studied medicine in Vienna, Paris and Prague. He started his medical career in Belgrade State Hospital in 1920 but since 1922 he worked as an assistent at the State Institute of Epidemiology in Zagreb. In 1924 he was sent to USA to specialize in bacteriology, serology and immunology. Back in Zagreb he was engaged in antidiphtheric serum production. Later he became more intere...

Recently two new degree concepts have been defined in graph theory: ev-degree and ve-degree. Also the evdegree and ve-degree Zagreb and Randić indices have been defined very recently as parallel of the classical definitions of Zagreb and Randić indices. It was shown that ev-degree and ve-degree topological indices can be used as possible tools in QSPR researches . In this paper we d...

The reformulated Zagreb indices of a graph is obtained from the classical Zagreb by replacing vertex degree by edge degree and are defined as sum of squares of the degree of the edges and sum of product of the degrees of the adjacent edges. In this paper we give some explicit results for calculating the first and second reformulated Zagreb indices of dendrimers. Mathematics Subject Classificati...