The Randic index of line, subdivision and total graphs of some graphs
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 8, Issue 2
Abstract
The Randic index R(G) of an organic molecule whose molecular graph is G is the sum of the weights of all edges uv of G, where denote the degree of vertex u(or v). In this paper, we compute the Randic index of line, subdivision and total graphs for some graphs.
Authors and Affiliations
Jafar Asadpour
Integral Variants of Jensen's Inequality for Convex Functions of Several Variables
The paper focuses on the derivation of the integral variants of Jensen's inequality for convex functions of several variables. The work is based on the integral method, using convex combinations as input, and set barycen...
ON RANK-ONE ? *-COMMUTING OPERATORS
Let ? be a non zero complex number. An operator A is a rank one ? *-commutes with B if AB - ? BA* has rank one. If, moreover, B is compact operator then A is called to belong to (H). In other words,(H) = fA 2...
Some Properties of a Subclass of Univalent Functions
In this paper, we introduce a certain subclass of univalent functions Ἧ(f,g,V.M,α,β,ϒ) . We obtain some results, like, coefficient inequality, distortion theorem, extreme points, radii of close to convex and co...
Degree of approximation of Conjugate Series of a Fourier Series by (E,r)(N,p,q) Means
In this paper a theorem on degree of approximation of a function f Lip ? by product Summability(E,r)(N,p,q)of conjugate series of Fourier series associated with f, has been established.
FIXED POINT RESULTS IN QUASI CONE METRIC SPACE FOR GENERALIZED a - y CONTRACTIVE MAPPINGS USING DIAMETER OF ORBITS
E. Karapinar and B. Samet (2012) [1] have given some fixed point theorems related a - y Contractive Mappings in metric space. N. Bilgili, E. Karapinar and B. Samet (2014) [2] have proved these results in quasi metric spa...