The Behavior of Weighted Graph’s Orbit and Its Energy

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 st...

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Veröffentlicht in:Mathematical problems in engineering 2021-05, Vol.2021, p.1-6
Hauptverfasser: Shukur, Ali A., Jahanbani, Akbar, Shelash, Haider
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/9933072