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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Final Defense
Sawyer Jack Robertson
UC San Diego
Optimal Transport on Graphs and Effective Resistance
Abstract:
This Ph.D. thesis concerns optimal transport and effective resistance on finite weighted graphs. We investigate a number of directions, including applications of these topics to geometric graph theory and combinatorial optimization, as well as extensions of them to graphs with matrix-valued edge weights. We conclude with a number of results elucidating their connections.
Advisors: Fan Chung & Alexander Cloninger
May 15, 2026
1:00 PM
APM 6402 & https://ucsd.zoom.us/j/
Research Areas
Combinatorics Mathematics of Information, Data, and Signals Probability Theory****************************
