Title of article :
On the First Variable Zagreb Index
Author/Authors :
MORADIAN, KHOSRO Department of Statistics - Science and Research Branch - Islamic Azad University - Tehran , BEHZADI, MOHAMMAD HASAN Department of Statistics - Science and Research Branch - Islamic Azad University - Tehran , KAZEMI, RAMIN Department of Statistics - Imam Khomeini International University - Qazvin
Abstract :
The first variable Zagreb index of graph G is defined as Mi(G) = Exev(G) d(v)21, where 2 is a real number and d{v) is the degree of vertex v. In this paper, some lower and upper bounds for the expected value and distribution function of this index in random increasing trees (recursive trees, plane-oriented recursive trees and binary increasing trees) are given.
Keywords :
First variable Zagreb index , Expected value , Distribution function , Random increasing trees
Journal title :
Astroparticle Physics
