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We introduce a search problem for finding a regular bi-partite graph ofmaximum attainable girth for specified degree and number of vertices, byrestricting the search space using a series of mathematically rigourousarguments from [1] and [2]. The goal of this paper is to derive the enumerationsearch algorithm for finding a girth maximum (m, r) BTU, which is notation forregular partite graph that has been introduced in [1], using the optimalpartition results from [2] as a starting point, and also understand thestructure of the search space and the computational complexity of thealgorithm.

Enumeration Based Search Algorithm For Finding A Regular Bi-partite Graph Of Maximum Attainable Girth For Specified Degree And Number Of Vertices