scholarly journals The Non-Neighbor Harmonic Index on Elementary Graph Operations

2018 ◽  
Vol 5 (5) ◽  
pp. 204-209
Author(s):  
A. Rizwana ◽  
G. Jeyakumar
Keyword(s):  
Harmonic Index ◽  
Graph Operations ◽  
Elementary Graph

scholarly journals Harmonic Index and Harmonic Polynomial on Graph Operations

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 456 ◽  
Author(s):  
Juan Hernández-Gómez ◽  
J. Méndez-Bermúdez ◽  
José Rodríguez ◽  
José M.  Sigarreta
Keyword(s):  
Lower Bounds ◽  
Convex Functions ◽  
Topological Index ◽  
Cartesian Product ◽  
Harmonic Polynomial ◽  
Upper And Lower Bounds ◽  
Lexicographic Product ◽  
Harmonic Index ◽  
Graph Operations ◽  
Corona Product

Some years ago, the harmonic polynomial was introduced to study the harmonic topological index. Here, using this polynomial, we obtain several properties of the harmonic index of many classical symmetric operations of graphs: Cartesian product, corona product, join, Cartesian sum and lexicographic product. Some upper and lower bounds for the harmonic indices of these operations of graphs, in terms of related indices, are derived from known bounds on the integral of a product on nonnegative convex functions. Besides, we provide an algorithm that computes the harmonic polynomial with complexity O ( n 2 ) .

On Hyper-Zagreb Index of Three Graph Operations

2019 ◽  
Vol 10 (2) ◽  
pp. 301-309
Author(s):  
A. Bharali ◽  
Amitav Doley
Keyword(s):  
Zagreb Index ◽  
Graph Operations

The Restricted Arc-Width of a Graph

10.37236/1734 ◽  
2003 ◽  
Vol 10 (1) ◽  
Author(s):  
David Arthur
Keyword(s):  
Unit Circle ◽  
Single Point ◽  
Minimum Width ◽  
Graph Operations ◽  
Function Mapping

An arc-representation of a graph is a function mapping each vertex in the graph to an arc on the unit circle in such a way that adjacent vertices are mapped to intersecting arcs. The width of such a representation is the maximum number of arcs passing through a single point. The arc-width of a graph is defined to be the minimum width over all of its arc-representations. We extend the work of Barát and Hajnal on this subject and develop a generalization we call restricted arc-width. Our main results revolve around using this to bound arc-width from below and to examine the effect of several graph operations on arc-width. In particular, we completely describe the effect of disjoint unions and wedge sums while providing tight bounds on the effect of cones.

scholarly journals Some graph operations in multiplicative Zagreb indices

2020 ◽  
Author(s):  
M. Radhakrishnan ◽  
M. Suresh ◽  
V. Mohana Selvi
Keyword(s):  
Zagreb Indices ◽  
Graph Operations

Associated primes of powers of cover ideals under graph operations

2019 ◽  
Vol 47 (5) ◽  
pp. 1985-1996 ◽  
Author(s):  
Mehrdad Nasernejad ◽  
Kazem Khashyarmanesh ◽  
Ibrahim Al-Ayyoub
Keyword(s):  
Associated Primes ◽  
Graph Operations

Graph Operations For Graphic Lattices and Graph Homomorphisms In Topological Cryptosystem

2021 ◽  
Author(s):  
Bing Yao ◽  
Xiaohui Zhang ◽  
Jing Su ◽  
Hui Sun ◽  
Hongyu Wang
Keyword(s):  
Graph Operations ◽  
Graph Homomorphisms

scholarly journals Kerr black holes with synchronised scalar hair and higher azimuthal harmonic index

2019 ◽  
Vol 792 ◽  
pp. 436-444 ◽  
Author(s):  
Jorge F.M. Delgado ◽  
Carlos A.R. Herdeiro ◽  
Eugen Radu
Keyword(s):  
Black Holes ◽  
Harmonic Index ◽  
Scalar Hair ◽  
Kerr Black Holes
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