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Browsing by Author "Briggs, Joseph"
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Embedding and Coloring Designs
Baumann, Stacie (2023-05-04)
This dissertation focuses on two problems in design theory. Techniques from graph theory are frequently utilized and therefore the proofs may also be of interest to graph theorists.
The first problem focuses on ...
Existence of L_d(n) and ML_d(n,k)
Schloss, Elizabeth (2023-04-28)
We are given an n x n array, ML(n,k), with integers n, d, k > 0 such that n=mk and each symbol in {0, ..., m-1} appears in each row and column of the ML(n,k) exactly k times. We aim to construct an ML_d(n,k) with the ...
The Slow-Coloring Game on Path Power Graphs
Graves, Josey (2022-11-16)
The Slow-Coloring Game is a game played on a graph G by two players which we will refer to as Lister and Painter. In the ith round, Lister marks a nonempty subset M of V (G) of uncolored vertices as eligible to receive ...