Browsing OSU - Honors College Theses by Author "Schweig, Jay"

Now showing items 1-4 of 4

    • Betti numbers of edge ideals of cyclic graphs 

      Gipson, Martha (2015-04-28)
      The goal of this Honors thesis is to analyze the Betti numbers of the edge ideals of cyclic graphs. In particular, our aim is to prove the values of the Betti numbers corresponding to the minimal linear first syzygies and ...

    • Graphic matroid embeddability and Sarkaria's Theorem 

      McCoy, Wyatt (2022-05-09)
      In this paper, we intend to explore the consequences of Sarkaria's Theorem in the context of Graphic matroids. Sarkaria's Theorem states that if X is the chromatic number of the Kneser graph of a simplicial complex [Delta] ...

    • Graphs and rhythmic canons in musical composition 

      Heon, Nikole (2019-05-07)
      Musical compositions and rhythmic canons, specifically packings, are created with the use of a motif and translation set. Then undirected graphs and cliques were constructed to compare with the selection of elements for ...

    • "M" arc diagrams and their relationship to Borel's triangle 

      McCombs, Kameron (2017-05-03)
      The Catalan Numbers famously count many combinatorial sets including arc diagrams on 2n points and binary trees on n vertices. In this paper, I show that there is a bijection between extended leaf marked binary trees on n ...