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[PDF] Top 20 Bounds for the Co-PI index of a graph

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Bounds for the Co-PI index of a graph

Bounds for the Co-PI index of a graph

... largest Co-PI eigenvalue of G. Before that, consider a connected graph G and its complement G ...connected graph on n  2 vertices, m ... See full document

13

Bounds on the number of closed walks in a graph and its applications

Bounds on the number of closed walks in a graph and its applications

... upper bounds on the Estrada index of graphs have been established by using the algebraic techniques (see, for example, [, , , ...the bounds based on our graph-theoretical method are ... See full document

9

Bounds on First Reformulated Zagreb Index of Graph

Bounds on First Reformulated Zagreb Index of Graph

... Zagreb index, particularly its upper and lower bounds has attracted recently threat tension of many mathematicians and computer scientists, in [2, 10, 12, 13, 14, 19, ...lower bounds for the first ... See full document

11

Sharp Upper Bounds for Multiplicative Degree Distance of Graph Operations

Sharp Upper Bounds for Multiplicative Degree Distance of Graph Operations

... ( n m , ) -graph. For any u v V G , ∈ ( ) , the distance between u and v in G , denoted by d G ( ) u v , , is the length of a shortest ( ) u v , -path in G. The edge connective the vertices u and v will be denoted ... See full document

19

PAC-Bayesian Analysis of Co-clustering and Beyond

PAC-Bayesian Analysis of Co-clustering and Beyond

... generalization bounds for supervised and unsupervised learning models based on clustering, such as co-clustering, matrix tri-factorization, graphical models, graph cluster- ing, and pairwise ...of ... See full document

52

A Multiplicative Version of Forgotten Topological Index

A Multiplicative Version of Forgotten Topological Index

... upper bounds for the multiplicative forgotten topological index of several graph operations such as sum, Cartesian product, corona product, compo- sition, strong product, disjunction and symmetric ... See full document

19

Some Lower Bounds for Estrada Index

Some Lower Bounds for Estrada Index

... This graph invariant was proposed as a structure-descriptor, used in the modeling of certain features of the 3D structure of organic molecules [2], in particular of the degree of proteins and other long-chains ... See full document

6

Some inequalities for the Kirchhoff index of graphs

Some inequalities for the Kirchhoff index of graphs

... Kirchhoff index is not always possible, it is useful to know approximating expressions, ...lower bounds and corresponding extremal ...upper bounds for K f (G) of a connected (molecular) graph ... See full document

5

The Pi polynomial and the Pi index of a family hydrocarbons molecules

The Pi polynomial and the Pi index of a family hydrocarbons molecules

... Mathematical calculations are absolutely necessary to explore important concepts in chemistry. Mathematical chemistry is a branch of theoretical chemistry for discussion and prediction of the molecular structure using ... See full document

5

Hermitian Randić matrix and Hermitian Randić energy of mixed graphs

Hermitian Randić matrix and Hermitian Randić energy of mixed graphs

... mixed graph M and study some basic characteristics of the Hermitian-Randić matrix of mixed ...mixed graph M. In Section , we study some bounds on the Hermitian-Randić energy of mixed graphs with ... See full document

14

Vol 10, No 2 (2019)

Vol 10, No 2 (2019)

... upper bounds for rainbow connection number of a line ...line graph, middle graph and total graph of a connected triangle-free graph and obtained three (near) sharp upper bounds ... See full document

7

Retracted Article: On the Kirchhoff matrix, a new Kirchhoff index and the Kirchhoff energy

Retracted Article: On the Kirchhoff matrix, a new Kirchhoff index and the Kirchhoff energy

... Kirchhoff index, the Kirchhoff energy and the Kirchhoff Estrada index of a ...lower bounds for these new indexes and ...Since graph theoretical studies (including graph parameters) consist ... See full document

14

Bounds for the general sum connectivity index of composite graphs

Bounds for the general sum connectivity index of composite graphs

... A single number that characterizes some properties corresponding to a molecular graph represents a topological index. There are many classes of topological indices, some of them are distance-based ... See full document

12

Sharp Bounds on the PI Spectral Radius

Sharp Bounds on the PI Spectral Radius

... vertex PI−regular. „ Theorem 6. Let G be a graph with vertex PI−degree sequence P , P , … , P and second vertex PI degree sequence T , T , … , T ... See full document

7

Computing Some Topological Indices of Tensor Product of Graphs

Computing Some Topological Indices of Tensor Product of Graphs

... vertex PI index was proposed and the Wiener and vertex PI indices of this graph operation were computed in ...another graph operations that recall them in the next ... See full document

10

On Second Geometric-Arithmetic Index and Co-PI Index of Special Chemical Molecular Structures

On Second Geometric-Arithmetic Index and Co-PI Index of Special Chemical Molecular Structures

... geometric-arithmetic index and Co-PI index of several special chemical molecular structures, including unilateral polyomino chain, unilateral hexagonal chain, V-Phenylenic nanotube, ... See full document

19

On Counting Polynomials of Some Nanostructures

On Counting Polynomials of Some Nanostructures

... The Omega polynomial  ( ) x was recently proposed by Diudea, based on the length of strips in given graph G. The Sadhana polynomial has been defined to evaluate the Sadhana index of a molecular ... See full document

8

On edge Co-PI indices

On edge Co-PI indices

... topological index, the fields of chemical graph theory and in also known as a connectivity index, is a type of a molecular descriptor that is calculated based on the molecular graph of a ... See full document

6

On the Acharya Index of Graph

On the Acharya Index of Graph

... Bonchev and Klein [11-12] proposed the concept of thorn trees, where the parent graph is a tree, then it is called as thorn trees. In this paper we consider the cases when the parent tree is a path. Then the ... See full document

5

Ashwini Index of a ‎Graph

Ashwini Index of a ‎Graph

... [28] M. Randi´ c, J. Zupan, Highly compact 2-D graphical representation of DNA sequences, SAR QSAR Environ. Res. 15 (2004) 191-205. [29] M. Randi´ c, J. Zupan, D. Viki´ cTopi´ c, On rep- resentation of proteins by ... See full document

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