2020/03/26 by Thotsaporn Thanatipanonda, Thanatipanonda, Thotsaporn Aek
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Graph Labeling and Dimension Problems #Limits and Structures in Graph Theory
paper · pdf · doi:10.48550/arxiv.2003.11749
openalex publication_date 2020/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
As a former engineering student, I have a great interest in a real world application of mathematics. Probability is something I can relate to. I am lucky enough that after I switched to Mathematics, this is one of many interests of my Ph.D. advisor, Doron Zeilberger, as well. In this article we create a program to apply the overlapping stage approach to calculate the moments E[Xr] and E[(X-μ)r] of combinatorial objects. We also show the normality property of their distributions when these moments are easy enough to calculate.