Current Research Interests
Graph & Network Theory
Exploring the structure, connectivity, and behavior of complex networks through graph theoretic methods.
Domination and Bondage Theory
Studying domination parameters and graph resilience through bondage numbers and their variations.
Discharging Method and Graph Structure
Applying discharging techniques to study structural properties of graphs and prove mathematical results.
Mathematics Education & Methods
Exploring effective approaches to teaching, learning, and student engagement in mathematics.
Recent Publications
1. “An Upper Bound on the Independent Domination Number of k-Trees”, with E. Akade, Australasian Journal of Combinatorics (2026), 95(2) (2026), 381–388.
2. “Independent Bondage Number in Planar Graphs Under Girth Constraints,” with E.G.K.M. Gamlath and B. Wei, Mathematics 13 (2025), no. 22, 3662. DOI:10.3390/math13223662
3. “Independent Bondage Number of Planar Graphs with Minimum Degree at Least 3,” with B. Wei, Discrete Mathematics 345 (2022), no. 12, 113072.
Research Presentations
Alabama Academy of Science
Faulkner University, Montgomery, Alabama • February 2026
First-Year Inquiry Freshman Seminar (Invited)
Franklin Pierce University, Rindge, New Hampshire • September 2024
Provost Faculty Research Symposium (Invited)
Mississippi University for Women, Columbus, Mississippi • March 2022
6th International Conference on Combinatorics, Cryptography, Computer Science and Computation (Invited)
Iran University of Science and Technology, Tehran, Iran • November 2021
52nd Southeastern International Conference on Combinatorics, Graph Theory & Computing
Florida Atlantic University, Boca Raton, Florida • March 2021
American Mathematical Society Graduate Student Seminar (Invited)
University of Mississippi, Oxford, Mississippi • February 2021
Student Research Projects Supervised
Distance k-Bondage Number of Common Graph Classes
Adeyori Adekunle and Steven Rodriguez, Alabama A&M University (2024–Present)
Resilience of Fixed Dominating Sets Under Linkage Failure
Uchenna Justin, Ehi Oko, and Itiza Subedi, Alabama A&M University (2024–Present)
Bridging Gaps in Algebra Through Secondary Education: Addressing Misconceptions in Factoring
LaKendra Jordan, Alabama A&M University (2026)
Independent Domination of k-Trees
Enoch Akade, Alabama A&M University (2026)
Survey of Topics Related to the Fibonacci Sequence
TiLyn Evans, Alabama A&M University (2025)
Ramsey Theory and Cycles
Brandon Watts, Alabama A&M University (2025)
Chromatic Polynomials of Path and Tree Graphs
Jawonki Moseley, Alabama A&M University (2025)
Mathematical Proofs and Applications of the Divisibility Rules for 3 and 7
Albert Ball, Alabama A&M University (2025)
Effects of Physiological States on Heart Rate Variability
Tiarra Smith, Alabama A&M University (2025)
Solutions to Electrical Circuit Problems via Graph Theory
Isaac Anokye, Valencia Ross, and Enoch Akade, Alabama A&M University (2024)
Brownian Motion and the Stock Market
Iyanuoluwa Adekoya, Alabama A&M University (2024)
Investigation of the Discharging Method on Toroidal Graphs
Nyia Westbrook, Miles College (2024)
Distance k-Bondage Number of Simple Classes of Graphs
Calana Octavia Hurt, University of North Alabama (2024)
Visualizing Student Connectedness on the LSUA Campus
Magdalena Benavides, Sheral King, and Essence Raymo, Louisiana State University of Alexandria (2022–2023)
Survey of Domination and Bondage Number
Sheral King, Louisiana State University of Alexandria (2022–2023)
An Investigation of Regular Convex Polytopes in Higher Dimensions
John David Hagood, Mississippi School for Mathematics and Science (2021–2022)
Research Opportunities
I am always excited to connect with students and colleagues who share an interest in mathematics, discovery, and scholarly collaboration. Through the Pham Discrete Mathematics Research Group, undergraduate students have the opportunity to engage in original research in graph theory, discrete mathematics, and related areas. Research group members work together to explore mathematical problems, develop problem solving and communication skills, and contribute to the broader mathematical community.
Whether you are a student seeking your first research experience or a collaborator interested in discussing mathematical ideas, I welcome the opportunity to connect. My goal is to foster a supportive and engaging environment where curiosity is encouraged, questions are valued, and individuals are empowered to grow as scholars.
If you are interested in learning more about the Pham Discrete Mathematics Research Group or exploring potential research opportunities, I encourage you to reach out and start a conversation!