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Full-Text Articles in Physical Sciences and Mathematics
Studying Extended Sets From Young Tableaux, Eric S. Nofziger
Studying Extended Sets From Young Tableaux, Eric S. Nofziger
Undergraduate Honors Thesis Collection
Young tableaux are combinatorial objects related to the partitions of an integer that have various applications in representation theory. These tableaux are defined as a left-justified set of n boxes filled with the numbers 1 through n and organized in rows, with the length of each row corresponding to a summand in the partition. In recent work of Graham–Precup–Russell, an association has been made between a given row-strict tableau and three disjoint subsets I, J, and K, also called extended sets. In this project, we begin to classify which extended sets correlate to a valid row-strict or standard tableau. We …
Constructions And Enumeration Methods For Cubic Graphs And Trees, Erica R. Gilliland
Constructions And Enumeration Methods For Cubic Graphs And Trees, Erica R. Gilliland
Undergraduate Honors Thesis Collection
The goal of this thesis is to study two related problems that, in the broadest terms, lie in a branch of mathematics called graph theory. The first problem examines some new techniques for constructing a Hamilton graph of least possible order and having a preassigned girth, and the second concerns the enumeration of a certain type of graphs called trees.