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Department of Mathematics,
University of California San Diego

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Math 243: Seminar in Functional Analysis

Rolando De Santiago

CSU Long Beach

Bounding quantum chromatic numbers of quantum graphs

Abstract:

In this talk we will discuss extensions of the 4 fundamental products of graphs (cartesian, categorical, lexicographical, and strong products) to quantum graphs, and provide bounds on the resulting graphs akin to those for products of classical graphs. We will pay particular attention to the lexicographical product, discussing our notion of a quantum b-fold chromatic number as a tool for computing the quantum chromatic number of the lexicographical products.

This is joint work with A. Meenakshi McNamara.

Host: Sri Kunnawalkam Elayavalli

January 21, 2025

11:00 AM

APM 7218

Research Areas

Functional Analysis / Operator Theory

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