Abstract

[Al, * * * , Ak ] 54-0. The original proof of the theorem [1] was elementary but very complicated. In attempting to simplify this proof, I found a more transparent proof based on the use of graph theory.3 One advantage of this approach is that complicated algebraic definitions can be replaced by much simpler geometric definitions merely by drawing a picture of the appropriate graph. Before stating the graph theoretic theorem which implies Theorem 1, I will give some elementary definitions and lemmas from graph theory.

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