YoVDO

Exponentially Many Graphs Are Determined by Their Spectrum

Offered By: Centre de recherches mathématiques - CRM via YouTube

Tags

Spectral Graph Theory Courses Linear Algebra Courses Discrete Mathematics Courses Combinatorics Courses Graph Theory Courses Eigenvalues Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the fascinating world of spectral graph theory in this 49-minute seminar talk from the Spectral Geometry in the clouds series. Delve into Matthew Kwan's research on graphs determined by their spectrum, a discrete analogue of Kac's famous question about "hearing the shape of a drum." Discover how this topic relates to practical graph isomorphism testing and gain insights into which graphs can be uniquely identified by their adjacency matrix spectrum. Learn about Kwan's recent collaborative work with Ilya Koval, which demonstrates that exponentially many graphs are determined by their spectrum. Enhance your understanding of this intriguing area of mathematics and its potential applications in graph theory and beyond.

Syllabus

Matthew Kwan: Exponentially many graphs are determined by their spectrum


Taught by

Centre de recherches mathématiques - CRM

Related Courses

Aplicaciones de la teoría de grafos a la vida real
Miríadax
Aplicaciones de la Teoría de Grafos a la vida real
Universitat Politècnica de València via UPV [X]
Introduction to Computational Thinking and Data Science
Massachusetts Institute of Technology via edX
Genome Sequencing (Bioinformatics II)
University of California, San Diego via Coursera
Algorithmic Information Dynamics: From Networks to Cells
Santa Fe Institute via Complexity Explorer