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Realizability of n-Vertex Graphs with Prescribed Vertex Connectivity, Edge Connectivity, Minimum Degree, and Maximum Degree (thesis)
Our work continues a long tradition in graph theory studying the relation-
ship between vertex connectivity, edge connectivity, and minimum degree. [From Introduction]
The Lambda Property and Isometries for Higher Order Schreier Spaces (thesis)
For each n in N, let Sn be the Schreier set of order n and XSn be the corresponding Schreier space of order n. In their 1989 paper "The lambda-property in Schreier space S and the Lorentz space d(a, 1)," Th. Shura and D. ...
Exploring Extreme Points and Related Properties of Tsirelson Space (thesis)
Tsirelson space was constructed in 1974 as the first example of a Banach space without an embedded c0 or lp space. In 1989, Casazza and Shura wrote a book Tsirelson's Space devoted to Tsirelson space and its many properties. ...
Linear Algebraic Methods in Data Science and Neural Networks (thesis)
This thesis is about some of the methods and concepts of linear algebra that are particularly helpful for data analysis. After a brief review of some linear algebra concepts in chapter 1, the second chapter of the thesis ...
Towards an Automated and Customizable Linear Cryptanalysis of Substitution-Permutation Network Cipher (thesis)
The increasing scale of the Internet of Things exposes the proprietors and users to a number of security threats in terms of invasion of privacy, identity thefts and the like. It is therefore absolutely necessary that the ...
Steinhaus Graphs and Pendent Vertices (thesis)
Steinhaus graphs have many interesting properties, yet there are many things about them that are not yet known. In [1], a formula was discovered for the total number of Steinhaus graphs on 11 vertices with at least one ...
Periods of Linearly Recurring Sequences (thesis)
In this thesis, we investigate sequences defined by linear recurrence relations. These are sequences whose subsequent terms are generated using some linear combination of the previous terms. We call the equation that ...
Up-growing On-line Linear Discrepancy of Triple-optimal Partially Ordered Sets (thesis)
Whether we acknowledge it as a poset or not, posets arise in many natural contexts, and many also seem to warrant linear extensions (or rankings) of the poset. In some sense, the linear discrepancy of a linear extension L ...