Based on picture fuzzy sets (PFSs), we use a mathematical model to tackle such types of problems when person has opinions like yes, no, abstain, and refusal. The spherical is more flexible practical than the model, as it enhances space uncertainty. It broadens vague information evaluated by decision makers since graphs are pictorial representation information. Graphs tool represent network. To ...

The Zagreb indices are the oldest graph invariants used in mathematical chemistry to predict the chemical phenomena. In this paper we define the multiple versions of Zagreb indices based on degrees of vertices in a given graph and then we compute the first and second extremal graphs for them.

Let G be a graph. The first Zagreb polynomial M1(G, x) and the third Zagreb polynomial M3(G, x) of the graph G are defined as:     ( ) ( , ) [ ] e uv E G G x x d(u) + d(v) M1 , ( , )  euvE(G) G x x|d(u) - d(v)| M3 . In this paper, we compute the first and third Zagreb polynomials of Cartesian product of two graphs and a type of dendrimers.

In a study on the structure–dependency of the total π-electron energy from 1972, Trinajstić and one of the present authors have shown that it depends on the sums ∑ v∈V d(v) 2 and ∑ v∈V d(v) , where d(v) is the degree of a vertex v of the underling molecular graph G. The first sum was later named first Zagreb index and over the years became one of the most investigated graph–based molecular stru...

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 2Klinika za reumatologiju, fi zikalnu medicinu i rehabilitaciju Referentni centar MZSS RH za spondiloartropatije Klinička bolnica “Sestre milosrdnice” Vinogradska 29 10000 Zagreb SPONZORIRANO PRIOPĆENJE SPONSORED COMM...

For a (molecular) graph, the hyper Zagreb index is defined as HM(G) = ∑ uv∈E(G) (dG(u) + dG(v)) 2 and the hyper Zagreb coindex is defined asHM(G) = ∑ uv/ ∈E(G) (dG(u)+dG(v)) 2. In this paper, the hyper Zagreb indices and its coindices of edge corona product graph, double graph and Mycielskian graph are obtained.

In theoretical chemistry, the researchers use graph models to express the structure of molecular, and the Zagreb indices and multiplicative Zagreb indices defined on molecular graph G are applied to measure the chemical characteristics of compounds and drugs. In this paper, we present the exact expressions of multiplicative Zagreb indices for certain important chemical structures like nanotube,...

Darko Kastelan† & Mirko Korsic †Author for correspondence Medical University of Zagreb, Department of Endocrinology, University Hospital Zagreb, Kispaticeva 12, 10000 Zagreb, Croatia Tel.: +385 12 421 867; Fax: +385 12 421 867; [email protected] ‘Recent discoveries of several new extracellular molecules have advanced our knowledge of osteoblast–osteoclast interaction and make them a promising t...

Au tor za ko res pon den ci ju/Corresponding aut hor: Damir Strapajević, mag. med, techn., Clinical hospital Centre Zagreb, University of Zagreb, Faculty of Medicine, Master Diploma Course, 10000 Zagreb, Croatia • E-mail:[email protected] Received November 2nd 2014; Accepted October 20th 2015; Procjena utjecaja rada u integriranoj bolničkoj hitnoj službi na zdravlje i radnu sposobnost djel...

Branko Gumhalter,1,* Vjekoslav Kovač,2 Fabio Caruso,3 Henry Lambert,3 and Feliciano Giustino3 1Institute of Physics, HR-10000 Zagreb, Croatia 2Department of Mathematics, University of Zagreb, HR-10000 Zagreb, Croatia 3Department of Materials, University of Oxford, Parks Road, Oxford OX1 3PH, United Kingdom (Received 15 February 2016; revised manuscript received 27 April 2016; published 5 July 2...