Algebraic Graph Theory - Yotsanan Meemark

Title:  Graphs arising from linear algebra over a finite commutative ring

Abstract: In this talk, I discuss my work on graphs defined on symplectic spaces and on orthogonal spaces over a finite commutative ring. I shall present the results over a finite field and extend them via the lifting theorem to the ones over a finite local ring. As a finite commutative ring is isomorphic to a direct product of finite local rings, we then tensor the graphs to obtain the main results. The work on chromatic numbers is also included.