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  Partner: UNT Libraries
 Degree Discipline: Mathematics
 Collection: UNT Theses and Dissertations
Hamiltonian cycles in subset and subspace graphs.

Hamiltonian cycles in subset and subspace graphs.

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Date: December 2004
Creator: Ghenciu, Petre Ion
Description: In this dissertation we study the Hamiltonicity and the uniform-Hamiltonicity of subset graphs, subspace graphs, and their associated bipartite graphs. In 1995 paper "The Subset-Subspace Analogy," Kung states the subspace version of a conjecture. The study of this problem led to a more general class of graphs. Inspired by Clark and Ismail's work in the 1996 paper "Binomial and Q-Binomial Coefficient Inequalities Related to the Hamiltonicity of the Kneser Graphs and their Q-Analogues," we defined subset graphs, subspace graphs, and their associated bipartite graphs. The main emphasis of this dissertation is to describe those graphs and study their Hamiltonicity. The results on subset graphs are presented in Chapter 3, on subset bipartite graphs in Chapter 4, and on subspace graphs and subspace bipartite graphs in Chapter 5. We conclude the dissertation by suggesting some generalizations of our results concerning the panciclicity of the graphs.
Contributing Partner: UNT Libraries
Concerning linear spaces

Concerning linear spaces

Date: June 1965
Creator: Gilbreath, Joe
Description: The basis for this thesis is H. S. Wall's book, Creative Mathematics, with particular emphasis on the chapter in that book entitled "More About Linear Spaces."
Contributing Partner: UNT Libraries
Topological Transformations

Topological Transformations

Date: August 1960
Creator: Gillespie, Arthur Alan
Description: This thesis investigates some of the properties of certain transformations. Some properties are considered in general; others, only in the xy-plane.
Contributing Partner: UNT Libraries
Linear Order

Linear Order

Date: August 1959
Creator: Gipson, John Samuel
Description: This paper will be concerned with some fundamental properties of a line. In particular, fundamental ordering properties of a line segment are covered.
Contributing Partner: UNT Libraries
Development of a Geometry from a Set of Axioms

Development of a Geometry from a Set of Axioms

Date: May 1973
Creator: Glasscock, Anita Louise
Description: The purpose of this paper is to develop a geometry based on fourteen axioms and four undefined terms.
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Concerning Measure Theory

Concerning Measure Theory

Date: August 1972
Creator: Glasscock, Robert Ray
Description: The purpose of this thesis is to study the concept of measure and associated concepts. The study is general in nature; that is, no particular examples of a measure are given.
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Abstract Vector Spaces and Certain Related Systems

Abstract Vector Spaces and Certain Related Systems

Date: August 1961
Creator: Goddard, Alton Ray
Description: The purpose of this paper is to make a detailed study of vector spaces and a certain vector-like system.
Contributing Partner: UNT Libraries
Some Fundamental Theorems on Infinite Products

Some Fundamental Theorems on Infinite Products

Date: 1957
Creator: Gonzalez, Genaro B.
Description: Since infinite products are seldom encountered in elementary mathematics, it is the purpose of this paper to familiarize the reader with their concept and properties. In the main, it is the compilation of material found in various references and revised to conform to standard notation.
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An Investigation of Points About the Circle of Convergence

An Investigation of Points About the Circle of Convergence

Date: 1958
Creator: Gray, Brucy Clothus
Description: This paper will be concerned with the convergence of complex power series.
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Theory of Congruences

Theory of Congruences

Date: June 1961
Creator: Green, Harold Rugby
Description: This thesis presents a series of theorems along with proofs to establish a theory of congruences.
Contributing Partner: UNT Libraries