The first Zagreb index of a graph G, with vertex set V (G) and edge set E(G), is defined as M1(G) = ∑ u∈V (G) d(u) 2 where d(u) denotes the degree of the vertex v. An alternative expression for M1(G) is ∑ uv∈E(G)[d(u) + d(v)]. We consider a multiplicative version of M1 defined as Π∗1(G) = ∏ uv∈E(G)[d(u) + d(v)]. We prove that among all connected graphs with a given number of vertices, the path ...

todeschini et al. have recently suggested to consider multiplicative variants of additive graphinvariants, which applied to the zagreb indices would lead to the multiplicative zagrebindices of a graph g, denoted by ( ) 1  g and ( ) 2  g , under the name first and secondmultiplicative zagreb index, respectively. these are define as  ( )21 ( ) ( )v v gg g d vand ( ) ( ) ( )( )2 g d v d v gu...

The Zagreb eccentricity indices are the eccentricity reformulation of the Zagreb indices. Let H be a simple graph. The first Zagreb eccentricity index (E1(H)) is defined to be the summation of squares of the eccentricity of vertices, i.e., E1(H) = ∑u∈V(H) Symmetry 2016, 9, 7; doi: 10.3390/sym9010007 www.mdpi.com/journal/symmetry Article First and Second Zagreb Eccentricity Indices of Thorny Gra...

in this paper, the hyper - zagreb index of the cartesian product, composition and corona product of graphs are computed. these corrects some errors in g. h. shirdel et al.[11].

the zagreb indices are the oldest graph invariants used in mathematical chemistry to predictthe chemical phenomena. in this paper we define the multiple versions of zagreb indicesbased on degrees of vertices in a given graph and then we compute the first and secondextremal graphs for them.

Tomislav Badel1, Kata Rošin-Grget2, Ladislav Krapac3, Miljenko Marotti4 Zavod za stomatološku protetiku Stomatološki fakultet Sveučilišta u Zagrebu 10000 Zagreb, Gundulićeva 5 Katedra za farmakologiju Stomatološki fakultet Sveučilišta u Zagrebu 10000 Zagreb, Šalata 11 Poliklinika za reumatske bolesti, fi zikalnu medicinu i rehabilitaciju “Dr. Drago Čop” 10000 Zagreb, Mihanovićeva 3 Klinički zav...

Reumatizam 2010. 57(2) 1Klinika za reumatske bolesti i rehabilitaciju Referentni centar MZSS RH za reumatoidni artritis Klinički bolnički centar Zagreb Kišpatićeva 12 10000 Zagreb 2Zavod za kliničku imunologiju i reumatologiju Klinika za unutarnje bolesti Klinički bolnički centar Zagreb Kišpatićeva 12 10000 Zagreb 3Odjel za reumatologiju i kliničku imunologiju Klinika za internu medicinu Klinič...

1University of Zagreb, Faculty of Teacher Education, Department in Petrinja, Trg Matice hrvatske 12, 44250 Petrinja, Croatia 2Musée cantonal de zoologie, Palais de Rumine – Place de la Riponne 6, 1005 Lausanne, Switzerland 3Biozentrum Grindel und Zoologisches Museum, Universität Hamburg, Martin-Luther-King-Platz 3, D-20146 Hamburg, Germany 4University of Zagreb, Faculty of Science, Department o...

161 1Klinika za reumatske bolesti i rehabilitaciju Referentni centar MZSS RH za reumatoidni artritis Klinički bolnički centar Zagreb Kišpatićeva 12 10000 Zagreb 2Zavod za kliničku imunologiju i reumatologiju Klinika za unutarnje bolesti Klinički bolnički centar Zagreb Kišpatićeva 12 10000 Zagreb 3Odjel za reumatologiju i kliničku imunologiju Klinika za internu medicinu Klinički bolnički centar ...