1. Toward a graph theoretical model of functional connectivity in chronic developmental traumatic stress disorders Open Access Author: Antinori, Lilith Zaila Title: Toward a graph theoretical model of functional connectivity in chronic developmental traumatic stress disorders Area of Honors: Mathematics Keywords: traumatic stressgraph theoryfunctional connectivityneuroscience File: Download Actual_Formatted_Thesis-1-1-edited4.pdf Thesis Supervisors: Andrew Leonard Belmonte, Thesis SupervisorNathanial Patrick Brown, Thesis Honors Advisor
2. A Recursive Presentation of the Graphon Space Open Access Author: Nicodemus, Patrick Blair Title: A Recursive Presentation of the Graphon Space Area of Honors: Mathematics Keywords: graph theorygraphondescriptive set theoryeffective descriptive set theorygraph homomorphismseffective Polish spacerecursive presentation File: Download Nicodemus_Patrick_RecursivePresentation.pdf Thesis Supervisors: Jan Severin Reimann, Thesis SupervisorNathanial Patrick Brown, Thesis Honors Advisor
3. Graph Observability: Definition, Condition and Algorithm Open Access Author: Xiao, Yifei Title: Graph Observability: Definition, Condition and Algorithm Area of Honors: Mathematics Keywords: graph theoryobservabilitycolored graphstrackable graphsgraph algorithm File: Download Thesis_Yifei_Xiao.pdf Thesis Supervisors: Ting He, Thesis SupervisorSergei Tabachnikov, Thesis Honors Advisor
4. DYNAMICS OF MINIMAL PERMITTED MOTIFS IN COMBINATORIAL THRESHOLD-LINEAR NETWORKS Open Access Author: Falk, David Benjamin Title: DYNAMICS OF MINIMAL PERMITTED MOTIFS IN COMBINATORIAL THRESHOLD-LINEAR NETWORKS Area of Honors: Mathematics Keywords: CTLNneural networkthreshold linearmathematical modelingmathematical neurosciencemathematical biologyminimal permitted motifnonlinear dynamicsdifferential equationsgraph theorycombinatoricsdiscrete mathematicssymmetryneuronsclique unioncyclic union File: Download David_Falk_Thesis.pdf Thesis Supervisors: Carina Pamela Curto, Thesis SupervisorMark Levi, Thesis Honors Advisor
5. Full Information Model: A Comprehensive Approach to Zero Forcing Open Access Author: Willman, Mason Title: Full Information Model: A Comprehensive Approach to Zero Forcing Area of Honors: Mathematics Keywords: graph theoryzero forcinginteger programming File: Download Full_Information_Model.pdf Thesis Supervisors: Thomas Robert Cameron, Thesis SupervisorWen-Li Wang, Thesis Honors AdvisorJoseph Peter Previte, Faculty Reader