## ASU Electronic Theses and Dissertations

This collection includes most of the ASU Theses and Dissertations from 2011 to present. ASU Theses and Dissertations are available in downloadable PDF format; however, a small percentage of items are under embargo. Information about the dissertations/theses includes degree information, committee members, an abstract, supporting data or media.

In addition to the electronic theses found in the ASU Digital Repository, ASU Theses and Dissertations can be found in the ASU Library Catalog.

Dissertations and Theses granted by Arizona State University are archived and made available through a joint effort of the ASU Graduate College and the ASU Libraries. For more information or questions about this collection contact or visit the Digital Repository ETD Library Guide or contact the ASU Graduate College at gradformat@asu.edu.

- Arizona State University
- Colbourn, Charles
- 8 Czygrinow, Andrzej
- 8 Fishel, Susanna
- 3 Hurlbert, Glenn
- 3 Kierstead, Henry
- 3 Sen, Arunabha
- more
- 2 Jones, John
- 2 Shrivastava, Aviral
- 2 Vrudhula, Sarma
- 1 Bartholomew, Michael James
- 1 Bazzi, Rida
- 1 Carey, Maurice
- 1 Childress, Nancy
- 1 Clark, Lawrence
- 1 Collofello, James
- 1 Dasgupta, Partha
- 1 Davulcu, Hasan
- 1 Dewan, Prashant
- 1 Fainekos, Georgios
- 1 Horan, Victoria E.
- 1 Huang, Dijiang
- 1 Hurlbert, Glenn H
- 1 Jeyapaul, Reiley
- 1 Kamat, Vikram Mahendra
- 1 Kierstead, H.A.
- 1 Kierstead, Hal A
- 1 Kierstead, Henry A
- 1 Konjevod, Goran
- 1 Kulkarni, Niranjan
- 1 Lee, Joohyung
- 1 Lifschitz, Vladimir
- 1 Nayeri, Peyman
- 1 Oursler, Roy
- 1 Rabern, Landon
- 1 Sarjoughian, Hessam
- 1 Seo, Jae-Sun
- 1 Smith, Matthew Earl
- 1 Spielberg, John
- 1 Srinivasan, Raghunathan
- 1 Stanzione Jr, Daniel
- 1 Treat, Kevin
- 1 Wang, Ran
- 1 Ye, Jieping
- 1 Yie, Jangwon
- 1 Yu, Shimeng

- 14 English

- 14 Public

- 7 Mathematics
- 3 Computer science
- 2 Computer Science
- 1 ASIC
- 1 Artificial intelligence
- 1 Borodin-Kostochka
- 1 Brooks
- more
- 1 Catalan lattice
- 1 Circular arc graph
- 1 Concept Assignment
- 1 Concept Classification
- 1 Concept Identification
- 1 Covering Array
- 1 Degree
- 1 Electrical engineering
- 1 Extremal Graph Theory
- 1 FPGA
- 1 First-Fit
- 1 Graph
- 1 Gray codes
- 1 Hash Family
- 1 Higher Stasheff-Tamari order
- 1 Hypergraph
- 1 Integrity measurement
- 1 Loose Cycle
- 1 Machine Learning
- 1 Mathematics education
- 1 On-line chain partition
- 1 On-line graph coloring
- 1 Partially ordered set
- 1 Post-Optimization
- 1 Rainbow Cycle
- 1 Ramsey Number
- 1 Remote attestation
- 1 Reverse Engineering
- 1 Software Engineering
- 1 Tamari lattice
- 1 Theoretical mathematics
- 1 Tiling
- 1 Tree
- 1 Turan Number
- 1 answer set programming
- 1 cgra
- 1 chordal graphs
- 1 chvatal's conjecture
- 1 clique
- 1 clock skew
- 1 coloring
- 1 compiler
- 1 computer architecture
- 1 cross-intersecting families
- 1 defeasible
- 1 independent sets
- 1 intersecting families
- 1 k-restriction
- 1 knowledge representation
- 1 linux device drivers
- 1 low power
- 1 maximum degree
- 1 nonmonotonic
- 1 overlap cycles
- 1 power efficiency
- 1 reasoning
- 1 reliability
- 1 satisfiability modulo theories
- 1 soft error
- 1 stability analysis
- 1 threshold logic
- 1 universal cycles
- 1 virtual machine monitors

- Reverse Fountain Cytoplasmic Streaming in Rhizopus Oryzae
- Diné Research Practices and Protocols: An Intersectional Paradigm Incorporating Indigenous Feminism, Critical Indigenous Research Methodologies and Diné Knowledge Systems
- Developing an Augmented Reality Solution for Mapping Underground Infrastructure
- Characterization of 2D Human Ankle Stiffness during Postural Balance and Walking for Robot-aided Ankle Rehabilitation
- Using Molecular, Cellular and Bioengineering Approaches Towards Understanding Muscle Stem Cell Biology

This research describes software based remote attestation schemes for obtaining the integrity of an executing user application and the Operating System (OS) text section of an untrusted client platform. A trusted external entity issues a challenge to the client platform. The challenge is executable code which the client must execute, and the code generates results which are sent to the external entity. These results provide the external entity an assurance as to whether the client application and the OS are in pristine condition. This work also presents a technique where it can be verified that the application which was attested, …

- Contributors
- Srinivasan, Raghunathan, Dasgupta, Partha, Colbourn, Charles, et al.
- Created Date
- 2011

The primary focus of this dissertation lies in extremal combinatorics, in particular intersection theorems in finite set theory. A seminal result in the area is the theorem of Erdos, Ko and Rado which finds the upper bound on the size of an intersecting family of subsets of an n-element set and characterizes the structure of families which attain this upper bound. A major portion of this dissertation focuses on a recent generalization of the Erdos--Ko--Rado theorem which considers intersecting families of independent sets in graphs. An intersection theorem is proved for a large class of graphs, namely chordal graphs which …

- Contributors
- Kamat, Vikram Mahendra, Hurlbert, Glenn, Colbourn, Charles, et al.
- Created Date
- 2011

Finding the optimal solution to a problem with an enormous search space can be challenging. Unless a combinatorial construction technique is found that also guarantees the optimality of the resulting solution, this could be an infeasible task. If such a technique is unavailable, different heuristic methods are generally used to improve the upper bound on the size of the optimal solution. This dissertation presents an alternative method which can be used to improve a solution to a problem rather than construct a solution from scratch. Necessity analysis, which is the key to this approach, is the process of analyzing the …

- Contributors
- Nayeri, Peyman, Colbourn, Charles, Konjevod, Goran, et al.
- Created Date
- 2011

A central concept of combinatorics is partitioning structures with given constraints. Partitions of on-line posets and on-line graphs, which are dynamic versions of the more familiar static structures posets and graphs, are examined. In the on-line setting, vertices are continually added to a poset or graph while a chain partition or coloring (respectively) is maintained. %The optima of the static cases cannot be achieved in the on-line setting. Both upper and lower bounds for the optimum of the number of chains needed to partition a width $w$ on-line poset exist. Kierstead's upper bound of $\frac{5^w-1}{4}$ was improved to $w^{14 \lg …

- Contributors
- Smith, Matthew Earl, Kierstead, Henry A, Colbourn, Charles, et al.
- Created Date
- 2012

Gray codes are perhaps the best known structures for listing sequences of combinatorial objects, such as binary strings. Simply defined as a minimal change listing, Gray codes vary greatly both in structure and in the types of objects that they list. More specific types of Gray codes are universal cycles and overlap sequences. Universal cycles are Gray codes on a set of strings of length n in which the first n-1 letters of one object are the same as the last n-1 letters of its predecessor in the listing. Overlap sequences allow this overlap to vary between 1 and n-1. …

- Contributors
- Horan, Victoria E., Hurlbert, Glenn H, Czygrinow, Andrzej, et al.
- Created Date
- 2012

Thanks to continuous technology scaling, intelligent, fast and smaller digital systems are now available at affordable costs. As a result, digital systems have found use in a wide range of application areas that were not even imagined before, including medical (e.g., MRI, remote or post-operative monitoring devices, etc.), automotive (e.g., adaptive cruise control, anti-lock brakes, etc.), security systems (e.g., residential security gateways, surveillance devices, etc.), and in- and out-of-body sensing (e.g., capsule swallowed by patients measuring digestive system pH, heart monitors, etc.). Such computing systems, which are completely embedded within the application, are called embedded systems, as opposed to general …

- Contributors
- Jeyapaul, Reiley, Shrivastava, Aviral, Vrudhula, Sarma, et al.
- Created Date
- 2012

The complexity of the systems that software engineers build has continuously grown since the inception of the field. What has not changed is the engineers' mental capacity to operate on about seven distinct pieces of information at a time. The widespread use of UML has led to more abstract software design activities, however the same cannot be said for reverse engineering activities. The introduction of abstraction to reverse engineering will allow the engineer to move farther away from the details of the system, increasing his ability to see the role that domain level concepts play in the system. In this …

- Contributors
- Carey, Maurice, Colbourn, Charles, Collofello, James, et al.
- Created Date
- 2013

Every graph can be colored with one more color than its maximum degree. A well-known theorem of Brooks gives the precise conditions under which a graph can be colored with maximum degree colors. It is natural to ask for the required conditions on a graph to color with one less color than the maximum degree; in 1977 Borodin and Kostochka conjectured a solution for graphs with maximum degree at least 9: as long as the graph doesn't contain a maximum-degree-sized clique, it can be colored with one fewer than the maximum degree colors. This study attacks the conjecture on multiple …

- Contributors
- Rabern, Landon, Kierstead, Henry, Colbourn, Charles, et al.
- Created Date
- 2013

Improving energy efficiency has always been the prime objective of the custom and automated digital circuit design techniques. As a result, a multitude of methods to reduce power without sacrificing performance have been proposed. However, as the field of design automation has matured over the last few decades, there have been no new automated design techniques, that can provide considerable improvements in circuit power, leakage and area. Although emerging nano-devices are expected to replace the existing MOSFET devices, they are far from being as mature as semiconductor devices and their full potential and promises are many years away from being …

- Contributors
- Kulkarni, Niranjan, Vrudhula, Sarma, Colbourn, Charles, et al.
- Created Date
- 2015

Let $G=(V,E)$ be a graph. A \emph{list assignment} $L$ for $G$ is a function from $V$ to subsets of the natural numbers. An $L$-\emph{coloring} is a function $f$ with domain $V$ such that $f(v)\in L(v)$ for all vertices $v\in V$ and $f(x)\ne f(y)$ whenever $xy\in E$. If $|L(v)|=t$ for all $v\in V$ then $L$ is a $t$-\emph{list assignment}. The graph $G$ is $t$-choosable if for every $t$-list assignment $L$ there is an $L$-coloring. The least $t$ such that $G$ is $t$-choosable is called the list chromatic number of $G$, and is denoted by $\ch(G)$. The complete multipartite graph with $k$ …

- Contributors
- Wang, Ran, Kierstead, H.A., Colbourn, Charles, et al.
- Created Date
- 2015

Knowledge representation and reasoning is a prominent subject of study within the field of artificial intelligence that is concerned with the symbolic representation of knowledge in such a way to facilitate automated reasoning about this knowledge. Often in real-world domains, it is necessary to perform defeasible reasoning when representing default behaviors of systems. Answer Set Programming is a widely-used knowledge representation framework that is well-suited for such reasoning tasks and has been successfully applied to practical domains due to efficient computation through grounding--a process that replaces variables with variable-free terms--and propositional solvers similar to SAT solvers. However, some domains provide …

- Contributors
- Bartholomew, Michael James, Lee, Joohyung, Bazzi, Rida, et al.
- Created Date
- 2016

The Tamari lattice T(n) was originally defined on bracketings of a set of n+1 objects, with a cover relation based on the associativity rule in one direction. Since then it has been studied in various areas of mathematics including cluster algebras, discrete geometry, algebraic combinatorics, and Catalan theory. Although in several related lattices the number of maximal chains is known, the enumeration of these chains in Tamari lattices is still an open problem. This dissertation defines a partially-ordered set on equivalence classes of certain saturated chains of T(n) called the Tamari Block poset, TB(lambda). It further proves TB(lambda) is a …

- Contributors
- Treat, Kevin, Fishel, Susanna, Czygrinow, Andrzej, et al.
- Created Date
- 2016

Since the seminal work of Tur ́an, the forbidden subgraph problem has been among the central questions in extremal graph theory. Let ex(n;F) be the smallest number m such that any graph on n vertices with m edges contains F as a subgraph. Then the forbidden subgraph problem asks to find ex(n; F ) for various graphs F . The question can be further generalized by asking for the extreme values of other graph parameters like minimum degree, maximum degree, or connectivity. We call this type of question a Tura ́n-type problem. In this thesis, we will study Tura ́n-type …

- Contributors
- Yie, Jangwon, Czygrinow, Andrzej, Kierstead, Henry, et al.
- Created Date
- 2018

Extremal graph theory results often provide minimum degree conditions which guarantee a copy of one graph exists within another. A perfect $F$-tiling of a graph $G$ is a collection $\mathcal{F}$ of subgraphs of $G$ such that every element of $\mathcal{F}$ is isomorphic to $F$ and such that every vertex in $G$ is in exactly one element of $\mathcal{F}$. Let $C^{3}_{t}$ denote the loose cycle on $t = 2s$ vertices, the $3$-uniform hypergraph obtained by replacing the edges $e = \{u, v\}$ of a graph cycle $C$ on $s$ vertices with edge triples $\{u, x_e, v\}$, where $x_e$ is uniquely assigned …

- Contributors
- Oursler, Roy, Czygrinow, Andrzej, Kierstead, Hal A, et al.
- Created Date
- 2019