GuoWangLi2019Bound

java.lang.Object

org.drip.graph.adjacencymatrix.GuoWangLi2019Bound

public class GuoWangLi2019Bound
extends java.lang.Object

GuoWangLi2019Bound implements the Guo, Wang, and Li (2019) Upper Bound on the Spectral Radius. The References are:

Dunford, N., and J. Schwartz (1963): Linear Operators II: Spectral Theory: Self-adjoint Operators in the Hilbert Space Wiley Interscience Hoboken NJ
Gradshteyn, I. S., I. M. Ryzhik, Y. V. Geronimus, M. Y. Tseytlin, and A. Jeffrey (2015): Tables of Integrals, Series, and Products Academic Press Cambridge MA
Guo, J. M., Z. W. Wang, and X. Li (2019): Sharp Upper Bounds of the Spectral Radius of a Graph Discrete Mathematics 342 (9) 2559-2563
Lax, P. D. (2002): Functional Analysis Wiley Interscience Hoboken NJ
Wikipedia (2024): Spectral Radius https://en.wikipedia.org/wiki/Spectral_radius

Module = Computational Core Module
Library = Graph Algorithm Library
Project = Graph Optimization and Tree Construction Algorithms
Package = Adjacency Matrix Representation of Graph

Author:: Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor Description

GuoWangLi2019Bound(int k, boolean validK, boolean validEdgeVertexDifferential, double spectralRadiusUpperLimit)
GuoWangLi2019Bound Constructor

Method Summary

Modifier and Type	Method	Description
`int`	`k()`	Retrieve the Guo, Wang, and Li (2019) `k` Parameter
`double`	`spectralRadiusUpperLimit()`	Retrieve the Guo, Wang, and Li (2019) Spectral Radius Upper Bound
`static GuoWangLi2019Bound`	`Unset(int k)`	Retrieve the Unset GuoWangLi2019Bound Instance
`boolean`	`validEdgeVertexDifferential()`	Indicate if the Edge-Vertex Differential is valid
`boolean`	`validK()`	Indicate if the Guo, Wang, and Li (2019) `k` Parameter is valid

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details
- GuoWangLi2019Bound
  
  public GuoWangLi2019Bound(int k, boolean validK, boolean validEdgeVertexDifferential, double spectralRadiusUpperLimit)
  
  GuoWangLi2019Bound Constructor
  
  Parameters:
  
  k - Guo, Wang, and Li (2019) k Parameter
  
  validK - TRUE - Guo, Wang, and Li (2019) k Parameter is valid
  
  validEdgeVertexDifferential - TRUE - Edge-Vertex Differential is valid
  
  spectralRadiusUpperLimit - Guo, Wang, and Li (2019) Spectral Radius Upper Bound
Method Details
- Unset
  
  public static final GuoWangLi2019Bound Unset(int k)
  
  Retrieve the Unset GuoWangLi2019Bound Instance
  
  Parameters:
  
  k - Guo, Wang, and Li (2019) k Parameter
  
  Returns:
  
  GuoWangLi2019Bound Instance
- k
  
  public int k()
  
  Retrieve the Guo, Wang, and Li (2019) k Parameter
  
  Returns:
  
  Guo, Wang, and Li (2019) k Parameter
- validK
  
  public boolean validK()
  
  Indicate if the Guo, Wang, and Li (2019) k Parameter is valid
  
  Returns:
  
  TRUE - Guo, Wang, and Li (2019) k Parameter is valid
- validEdgeVertexDifferential
  
  public boolean validEdgeVertexDifferential()
  
  Indicate if the Edge-Vertex Differential is valid
  
  Returns:
  
  TRUE - Edge-Vertex Differential is valid
- spectralRadiusUpperLimit
  
  public double spectralRadiusUpperLimit()
  
  Retrieve the Guo, Wang, and Li (2019) Spectral Radius Upper Bound
  
  Returns:
  
  Guo, Wang, and Li (2019) Spectral Radius Upper Bound