Package org.drip.graph.adjacencymatrix

Class G2ToR1

java.lang.Object
org.drip.graph.adjacencymatrix.GkToR1
org.drip.graph.adjacencymatrix.G2ToR1
public class G2ToR1
extends GkToR1
G2ToR1 implements the Space Map induced by L2 Norm on the R1 Functions over the Vertexes of a Graph. 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




Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    G2ToR1​(R1ToR1 vertexFunction)
    G2ToR1 Constructor

  • Method Summary

    Methods inherited from class org.drip.graph.adjacencymatrix.GkToR1

    bounded, evaluate, norm, vertexFunction

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • G2ToR1

      public G2ToR1​(R1ToR1 vertexFunction) throws java.lang.Exception
      G2ToR1 Constructor
      Parameters:
      vertexFunction - R1 to R1 Vertex Function
      Throws:
      java.lang.Exception - Thrown if the Inputs are Invalid