On the 1-factorizations of Middle Level Graph: Inner structure, Algorithm, and Application.
In this paper, we revisit the lexical and modular factorization of the middle level graph. As results, we provide their alternative definitions, which are either simpler or more direct than the previous definitions, and derive their interesting properties and formulas, which shed insights into their inner combinatorial structures. Moreover, we design optimum algorithms for computing these factorizations, which can be applied in playing restricted-supply hat-guessing games.
Publisher URL: http://arxiv.org/abs/1704.08852
DOI: arXiv:1704.08852v4
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