Lizhi Du

  1. Method Study on the 3x+1 Problem.

    Authors: Lizhi Du
    Subjects: Discrete Mathematics
    Abstract

    The 3x+1 problem is one of the most classical problems in computer science,
    related to many fields. As it is thought by scientists a highly hard problem,
    resolving it successfully not only can improve the research in many relating
    fields, but also be meaningful to the method study. By deep analyzing the 3x+1
    calculation process with the input positive integer becoming greater, we find a
    useful way for solving this problem with high probability.

  2. A Polynomial Time Algorithm for Hamilton Cycle and Its Proof.

    Authors: Lizhi Du
    Subjects: Data Structures and Algorithms
    Abstract

    We present a polynomial time algorithm for finding a Hamilton Cycle(Path) in
    an undirected graph and proves its correctness. A program is developed
    according to this algorithm and it works very well. This paper declares the
    algorithm, its proof, and the experiment data. Even only our experiment data is
    a breakthrough.

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