The Behavior of Weighted Graph’s Orbit and Its Energy

Ali A. Shukur, Akbar Jahanbani and Haider Shelash

Mathematical Problems in Engineering, 2021, vol. 2021, 1-6

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9933072

DOI: 10.1155/2021/9933072

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