Bounds for the Randić Connectivity Index

2000 ◽  
Vol 40 (3) ◽  
pp. 593-598 ◽  
Author(s):  
Ivan Gutman ◽  
Oswaldo Araujo ◽  
Daniel A. Morales
Keyword(s):  
Connectivity Index ◽  
Randić Connectivity Index

The Sum-Connectivity Index - An Additive Variant of the Randic Connectivity Index§

2013 ◽  
Vol 9 (2) ◽  
pp. 184-194 ◽  
Author(s):  
Bono Lucic ◽  
Ivan Sovic ◽  
Jadranko Batista ◽  
Karolj Skala ◽  
Dejan Plavsic ◽  
...  
Keyword(s):  
Connectivity Index ◽  
Randić Connectivity Index

Topological aspects of some dendrimer structures

2018 ◽  
Vol 7 (2) ◽  
pp. 123-129 ◽  
Author(s):  
Adnan Aslam ◽  
Muhammad Kamran Jamil ◽  
Wei Gao ◽  
Waqas Nazeer
Keyword(s):  
Self Assembly ◽  
Molecular Graph ◽  
Chemical Properties ◽  
Topological Indices ◽  
Connectivity Index ◽  
Molecular Topology ◽  
Zinc Porphyrin ◽  
Physico Chemical ◽  
Randić Connectivity Index ◽  
Atom Bond

AbstractA numerical number associated to the molecular graphGthat describes its molecular topology is called topological index. In the study ofQSARandQSPR, topological indices such as atom-bond connectivity index, Randić connectivity index, geometric index, etc. help to predict many physico-chemical properties of the chemical compound under study. Dendrimers are macromolecules and have many applications in chemistry, especially in self-assembly procedures and host-guest reactions. The aim of this report is to compute degree-based topological indices, namely the fourth atom-bond connectivity index and fifth geometric arithmetic index of poly propyl ether imine, zinc porphyrin, and porphyrin dendrimers.

scholarly journals Computation of Topological Indices of Graphene

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
G. Sridhara ◽  
M. R. Rajesh Kanna ◽  
R. S. Indumathi
Keyword(s):  
Topological Indices ◽  
Connectivity Index ◽  
Randić Connectivity Index ◽  
Abc Index ◽  
Ga Index

We compute ABC index, ABC4index, Randic connectivity index, Sum connectivity index, GA index, and GA5index of Graphene.

scholarly journals Computing topological indices of the line graphs of Banana tree graph and Firecracker graph

2017 ◽  
Vol 2 (1) ◽  
pp. 83-92 ◽  
Author(s):  
Muhammad Shoaib Sardar ◽  
Sohail Zafar ◽  
Zohaib Zahid
Keyword(s):  
Connectivity Index ◽  
Line Graphs ◽  
Tree Graph ◽  
First Zagreb Index ◽  
Zagreb Index ◽  
Second Zagreb Index ◽  
Banana Tree ◽  
Randić Connectivity Index ◽  
Augmented Zagreb Index ◽  
Atom Bond

AbstractIn this paper, we compute first Zagreb index (coindex), second Zagreb index (coindex), third Zagreb index, first hyper-Zagreb index, atom-bond connectivity index, fourth atom-bond connectivity index, sum connectivity index, Randić connectivity index, augmented Zagreb index, Sanskruti index, geometric-arithmetic connectivity index and fifth geometric-arithmetic connectivity index of the line graphs of Banana tree graph and Firecracker graph.

scholarly journals Extremal topological indices for graphs of given connectivity

Filomat ◽  
2015 ◽  
Vol 29 (7) ◽  
pp. 1639-1643 ◽  
Author(s):  
Ioan Tomescu ◽  
Misbah Arshad ◽  
Muhammad Jamil
Keyword(s):  
Wiener Index ◽  
Topological Indices ◽  
Connectivity Index ◽  
Zeroth Order ◽  
Edge Connectivity ◽  
Connected Graphs ◽  
Randic Index ◽  
Randić Connectivity Index ◽  
Unique Graph ◽  
General Randić Connectivity Index

In this paper, we show that in the class of graphs of order n and given (vertex or edge) connectivity equal to k (or at most equal to k), 1 ? k ? n - 1, the graph Kk + (K1? Kn-k-1) is the unique graph such that zeroth-order general Randic index, general sum-connectivity index and general Randic connectivity index are maximum and general hyper-Wiener index is minimum provided ? > 1. Also, for 2-connected (or 2-edge connected) graphs and ? > 0 the unique graph minimizing these indices is the n-vertex cycle Cn.

scholarly journals On molecular topological properties of benzenoid structures

2016 ◽  
Vol 94 (8) ◽  
pp. 687-698 ◽  
Author(s):  
Shehnaz Akhter ◽  
Muhammad Imran
Keyword(s):  
Strain Energy ◽  
Chemical Compounds ◽  
Topological Indices ◽  
Connectivity Index ◽  
Line Graphs ◽  
Zigzag Edge ◽  
Zagreb Index ◽  
Chemical Significance ◽  
Randić Connectivity Index ◽  
Atom Bond

The degree-based topological indices correlate certain physicochemical properties such as boiling point, strain energy, and stability, etc., of certain chemical compounds. Among the major classes of topological indices are the distance-based topological indices, degree-based topological indices, and counting-related polynomials and corresponding indices of graphs. Among all of the degree-based indices, namely the first general Zagreb index, general Rndić connectivity index, general sum-connectivity index, atom–bond connectivity index (ABC), and geometric–arithmetic index (GA), are most important due to their chemical significance. In this paper, we compute the first general Zagreb index, general Randić connectivity index, general sum-connectivity index, ABC, GA, ABC4, and GA5 indices of hexagonal parallelogram P(m,n) nanotubes, triangular benzenoid Gn, and zigzag-edge coronoid fused with starphene ZCS(k,l,m) nanotubes by using the line graphs of the subdivision of these chemical graphs.

scholarly journals Topological Indices of the Pent-Heptagonal Nanosheets VC5C7 and HC5C7

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Fei Deng ◽  
Xiujun Zhang ◽  
Mehdi Alaeiyan ◽  
Abid Mehboob ◽  
Mohammad Reza Farahani
Keyword(s):  
Topological Indices ◽  
Connectivity Index ◽  
First Zagreb Index ◽  
Zagreb Index ◽  
Second Zagreb Index ◽  
Randić Connectivity Index ◽  
Augmented Zagreb Index ◽  
Forgotten Index ◽  
Atom Bond ◽  
Modified Zagreb Index

In this paper, we computed the topological indices of pent-heptagonal nanosheet. Formulas for atom-bond connectivity index, fourth atom-bond connectivity index, Randić connectivity index, sum-connectivity index, first Zagreb index, second Zagreb index, augmented Zagreb index, modified Zagreb index, hyper Zagreb index, geometric-arithmetic index, fifth geometric-arithmetic index, Sanskruti index, forgotten index, and harmonic index of pent-heptagonal nanosheet have been derived.

Master Connectivity Index and Master Connectivity Polynomial

2010 ◽  
Vol 6 (4) ◽  
pp. 235-239
Author(s):  
Damir Vukicevic ◽  
Nenad Trinajstic ◽  
Sonja Nikolic ◽  
Bono Lucic ◽  
Bo Zhou
Keyword(s):  
Connectivity Index

Development and application of a sediment connectivity index to small fluvial catchments: a case study in Arenoso stream, Córdoba, Argentina

2021 ◽  
Vol 80 (8) ◽  
Author(s):  
María Jimena Andreazzini ◽  
Susana Beatriz Degiovanni ◽  
María Eugenia Benito ◽  
Karina Vanesa Echevarria
Keyword(s):  
Connectivity Index ◽  
Sediment Connectivity
Sign in / Sign up

Export Citation Format

Share Document