The undirected power graph ( ) n P Z of a finite group n Z is the graph with vertex set G and two distinct vertices u and v are adjacent if and only if u v ≠. The Wiener index
Nowadays, learning and instruction take place independent of time and space through the distance education system,wherein courses are conducted completely online through network technologies using interactive video -based instructionalmaterials. This study examines the open and distance education system that was a part of the history of education in theTurkish republic first at universities, and then in high sch ools and secondary schools. It is aimed to narrate the history of openand distance education using graph theory trees in order to provide a better understanding of this process. Within thiscontext, the project YAYÇEP may be mentioned. Historical developments can be narrated in a chronological order throughgraph theory trees, and this makes it possible to see the big picture. Open and distance education is discussed, historicalinformation is given and, finally, a graph theory tree drawn using the graph theory is used to explain the topic.Keywords: Distance education, open education, graph theory, the history of distance education.
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