A NOTE ON GENERAL RANDI´C INDEX

A NOTE ON GENERAL RANDI´C INDEX. Bo Zhou and Wei Luo. Department of ... The general Randic index of a graph G is a graph invariant defined as Rα = Rα(G) ...

(PDF) A note on general Randić index - ResearchGate

The general Randić index of a graph G is a graph invariant defined as Rα = Rα(G) = Σ/uv∈E(G)(d udv)α, where du denotes the degree of vertex u in

A Note on the Zeroth-order General Randic Index of Polygonal Cacti

Key words and phrases: Cactus; Zeroth-order general Randic index; ex- tremal graph. 1. Introduction. Throughout this paper, G denotes a simple ...

A note on the general zeroth–order Randic coindex of graphs

In chemical graph theory, such quantities are usually referred to as topological indices [6,18–20]. Many of them are defined as simple functions ...

ON GENERAL RANDI´C INDICES

A chemical graph is a graph in which no vertex has degree greater than four. The general Randic index (or connectivity index [1]) of a (molecular) graph G is.

(PDF) Some notes on Randi´c index - ResearchGate

PDF | In this paper we establish new inequalities involving Randi$\acute{c}$ index, weigthed Randi$\acute{c}$ index and general ...

Note on two generalizations of the Randić index - ScienceDirect

For more results on zeroth order general Randić index and Zagreb index ... Energy of a graph and Randic index. Linear Algebra and its ...

The extremal generalised Randić index for a given degree range

In this note we give a short proof via a more general statement. We apply the latter to classify the graphs in any given degree range which ...

On the Randi c index - ScienceDirect.com

Sharp bounds for the general Randić index $R_-1$ of a graph

The general Randi\'c index is defined by R−1=∑(i,j)∈E1didj. R ...

General Randić Index of Unicyclic Graphs and Its Applications to ...

An extensive survey of the Randi index was carried out by Li and Shi in [16]. ... Note on two generalizations of the Randić index. Appl. Math. Comput. 2015 ...

Full article: Randić index and information - Taylor & Francis Online

The Randić index R(G) is one of the classical graph-based molecular structure descriptors that found countless applications in chemistry and pharmacology.

A note on general sum-connectivity index - SciELO Chile

Thus the general Randic index generalises the ordinary Randic index and the second Zagreb index. Motivated by Randic and Zagreb indices, Zhou and Trinajstic ...

THE ZEROTH-ORDER GENERAL RANDI´C INDEX OF GRAPHS ...

In this paper, the maximum value of zeroth-order general Randic index on the graphs of order n with a given clique number is presented for any α 6= 0, 1 and α / ...

Sharp bounds for the general Randić index of graphs with fixed ...

In this paper, we characterized the graphs in G n γ with minimum general Randić index for γ ≥ 3 and 1 ≤ α ≤ 39 25 . These extend the main result proved by A.

On the general zeroth-order Randic index of bargraphs 1. Introduction

In this note, we will show that the expected value of Nα over all bargraphs with n cells, when n is large enough, is n. 3. (3α+1 + 2α + 3 ...

An Updated Survey on the Randic Index | Semantic Scholar

The general Randic index R (G) of a (chemical) graph G, is defined as the sum of the weights (d(u)d(v)) of all edges uv of G, where d(u) denotes the ...

Graphs with Minimum and Maximum Zeroth-Order General Randic ...

For a (molecular) graph G = (V,E), the general Randic index Rα(G) of G is defined ... Note that if α = 0 then 0Rα(G) = n, and if α = 1 then 0Rα(G)=2m ...

RANDI C INDEX AND EIGENVALUES OF GRAPHS - Project Euclid

Note that the normalized Laplacian eigenvalues range from 0 to 2. If ... , Trees with maximum general Randi(c index, MATCH Commum. Math ...

Bounds on General Randić Index for F‐Sum Graphs - Li - 2020

Aim of this paper is to compute the lower and upper bounds of the general Randić index for the F-sum graphs.