Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

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.

Coxeter theory investigates groups generated by reflections and the geometric structures arising from their actions, such as root systems and Dynkin diagrams. This body of work underpins vast areas of ...

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 ...

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 ...

Jan Stanislaw Mycielski, 92, passed away peacefully on January 18, 2025, at his home in Boulder, Colorado. Jan was a professor emeritus of mathematics at the University of Colorado at Boulder, known ...