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math.CO2024
Geometrization of Graphs: Towards Bounding the Chromatic Number via High-Dimensional Embedding
Qiming Fang, Sihong Shao
We establish a geometric framework by transforming a graph into a -dimensional CW complex . This construction is achieved by systematically attaching -sph…
math.NA2024
Adaptive Hyperbolic-cross-space Mapped Jacobi Method on Unbounded Domains with Applications to Solving Multidimensional Spatiotemporal Integrodifferential Equations
Yunhong Deng, Sihong Shao, Alex Mogilner +1
In this paper, we develop a new adaptive hyperbolic-cross-space mapped Jacobi (AHMJ) method for solving multidimensional spatiotemporal integrodifferential equations in unbounded d…