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Full-Text Articles in Discrete Mathematics and Combinatorics
Diederich-Fornæss Index On Boundaries Containing Crescents, Jason Demoulpied
Diederich-Fornæss Index On Boundaries Containing Crescents, Jason Demoulpied
Graduate Theses and Dissertations
The worm domain developed by Diederich and Fornæss is a classic example of a boundedpseudoconvex domains that fails to satisfy global regularity of the Bergman Projection, due to the set of weakly pseudoconvex points that form an annulus in its boundary. We instead examine a bounded pseudoconvex domain Ω ⊂ C2 whose set of weakly pseudoconvex points form a crescent in its boundary. In 2019, Harrington had shown that these types of domains satisfy global regularity of the Bergman Projection based on the existence of good vector fields. In this thesis we study the Regularized Diederich-Fornæss index of these domains, …
3-Uniform 4-Path Decompositions Of Complete 3-Uniform Hypergraphs, Rachel Mccann
3-Uniform 4-Path Decompositions Of Complete 3-Uniform Hypergraphs, Rachel Mccann
Mathematical Sciences Undergraduate Honors Theses
The complete 3-uniform hypergraph of order v is denoted as Kv and consists of vertex set V with size v and edge set E, containing all 3-element subsets of V. We consider a 3-uniform hypergraph P7, a path with vertex set {v1, v2, v3, v4, v5, v6, v7} and edge set {{v1, v2, v3}, {v2, v3, v4}, {v4, v5, v6}, {v5, v6 …