Edge-Colored Graph Theory is a vibrant area within combinatorics that extends the classical study of graphs by assigning colours to edges. This paradigm not only uncovers subtle structural properties ...

Jacob, Jobby. "Rankings (ordered colorings) of Graphs." Math. Colloquium. Hobart and William Smith Colleges. Geneva, NY. 11 Apr. 2019. Keynote Speech. Dobosh, Korrine, Samuel Kennedy, and Jobby Jacob.

Graph limit theory provides a rigorous framework for analysing sequences of large graphs by representing them as continuous objects known as graphons – symmetric measurable functions on the unit ...

Discrete mathematics is the study of finite or countable discrete structures; it spans such topics as graph theory, coding theory, design theory, and enumeration. The faculty at Michigan Tech ...

N. Alon, J. Spencer, The Probabilistic Method, Wiley, 1992. Additional course notes may be distributed. The main theme of the course will be concerned with applications of probabilistic methods in ...

Mathematical truths are often born of the conflict between order and disorder. Mathematicians discover patterns, and, to better understand the mysterious forces at play, they look for countervailing ...

The analysis group works on a variety of themes of modern analysis including: Harmonic analysis on n-dimensional Euclidean space, Harmonic analysis on Lie groups, abstract harmonic analysis, operator ...