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Harmonic Extension on an LB-Fractal

초록

영어

The intent of the paper is to establish the energy relationship on adjacent graphs of LB-fractal constructed iteratively through an iterated function system containing five contraction maps. The harmonic matrices on the LB-fractals are obtained through harmonic extension. The normal derivatives are also found for the same.

목차

Abstract
 1. Introduction
 2. Preliminaries
 3. Construction of Line Based Fractal
 4. Graph Energies and Harmonic Extension
 5. Normal Derivative
 6. Conclusion
 References

저자정보

  • Bhagwati Prasad Department of Mathematics Jaypee Institute of Information Technology A-10, Sector-62, Noida, UP-201307 INDIA
  • Kunti Mishra Department of Mathematics Jaypee Institute of Information Technology A-10, Sector-62, Noida, UP-201307 INDIA

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