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The Behavior of Weighted Graph’s Orbit and Its Energy

Author

Listed:
  • Ali A. Shukur
  • Akbar Jahanbani
  • Haider Shelash

Abstract

Studying the orbit of an element in a discrete dynamical system is one of the most important areas in pure and applied mathematics. It is well known that each graph contains a finite (or infinite) number of elements. In this work, we introduce a new analytical phenomenon to the weighted graphs by studying the orbit of their elements. Studying the weighted graph's orbit allows us to have a better understanding to the behaviour of the systems (graphs) during determined time and environment. Moreover, the energy of the graph’s orbit is given.

Suggested Citation

  • Ali A. Shukur & Akbar Jahanbani & Haider Shelash, 2021. "The Behavior of Weighted Graph’s Orbit and Its Energy," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-6, May.
    • Handle: RePEc:hin:jnlmpe:9933072
    DOI: 10.1155/2021/9933072
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