Cycle Enumeration using Nilpotent Adjacency Matrices with Algorithm Runtime Comparisons
نویسندگان
چکیده
We present an original algebraic method for cycle enumeration which is well-suited for symbolic computations. Nilpotent adjacency matrix methods are employed to enumerate k-cycles in simple graphs on n vertices for any k ≤ n. Experimental results detailing computation times (in seconds) are compared with algorithms based on the approaches of Bax and Tarjan for perspective.
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تاریخ انتشار 2010