# Complete Graphs and Cycles; Undirected & Spanning Trees and Reverse Polish Notation

Consider a comple graph G, n ≥ 3. Find the number of cycles in G of length n. How many cycles in a complete graph with 5 vertices?

Another problem is attached involving Reverse Polish Notation....

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Problem #6

To clarify this problem, we need to know how many -cycles (cycle with length ) in a complete graph with vertices. Assume the vertices are and is the number of distinct -cycles.

When , because it has one 3-cycle . You may also ...

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Complete Graphs and Cycles; Undirected & Spanning Trees and Reverse Polish Notation are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.