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

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    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....

    Please see the attached file for the fully formatted problems.

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    https://brainmass.com/math/discrete-math/complete-graphs-cycles-undirected-spanning-trees-reverse-polish-notation-96674

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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 ...

    Solution Summary

    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.

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