On arc reversal in balanced digraphs |
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| Authors: | Zbigniew R. Bogdanowicz |
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| Affiliation: | aArmament Research, Development and Engineering Center, Picatinny, NJ 07806, USA |
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| Abstract: | In this note we consider closed walks, which are cycles that are not necessarily elementary. We prove that any arc reversal in a balanced multidigraph without loops decreases the number of closed walks. This also proves that arc reversal in a simple balanced digraph decreases the number of closed walks. |
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| Keywords: | Á dá m&rsquo s conjecture Arc reversal Balanced digraph Multidigraph Closed walk |
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