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math.RT2025
Linear Preservers of Real Matrix Classes Admitting a Real Logarithm
Shaun Fallat, Samir Mondal
In real Lie theory, matrices that admit a real logarithm reside in the identity component of the general linear group , wit…
cs.LG2025
Distance-based Learning of Hypertrees
Shaun Fallat, Kamyar Khodamoradi, David Kirkpatrick +3
We study the problem of learning hypergraphs with shortest-path queries (SP-queries), and present the first provably optimal online algorithm for a broad and natural class of hyper…
math.CO2025
The Weak Version of the Graph Complement Conjecture and Partial Results for the Delta Conjecture
Francesco Barioli, Shaun M. Fallat, Himanshu Gupta +1
Since the transformative workshop by the American Institute of Mathematics on the minimum rank of a graph, two longstanding open problems have captivated the community interested i…