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4 papers · 1 filter
Graph edge contraction and subdivisions for adjacency polytopes
Tianran Chen, Evgeniia Korchevskaia
Adjacency polytopes, a.k.a. symmetric edge polytopes, associated with undirected graphs have been defined and studied in several seemingly independent areas including number theory…
Directed acyclic decomposition of Kuramoto equations
Tianran Chen
The Kuramoto model is one of the most widely studied model for describing synchronization behaviors in a network of coupled oscillators, and it has found a wide range of applicatio…
A Product Formula for the Normalized Volume of Free Sums of Lattice Polytopes
Tianran Chen, Robert Davis
The free sum is a basic geometric operation among convex polytopes. This note focuses on the relationship between the normalized volume of the free sum and that of the summands. In…
Fast Evaluation, Weights and Nonlinearity of Rotation-Symmetric Functions
Thomas W. Cusick, Pantelimon Stanica
We study the nonlinearity and the weight of the rotation-symmetric (RotS) functions defined by Pieprzyk and Qu. We give exact results for the nonlinearity and weight of 2-degree Ro…