252 citations · 961 across the 42 of their papers we have counts for
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Facets and facet subgraphs of symmetric edge polytopes
Tianran Chen, Robert Davis, Evgeniia Korchevskaia
Symmetric edge polytopes, a.k.a. PV-type adjacency polytopes, associated with undirected graphs have been defined and studied in several seemingly independent areas including numbe…
Computing Volumes of Adjacency Polytopes via Draconian Sequences
Robert Davis, Tianran Chen
Adjacency polytopes appear naturally in the study of nonlinear emergent phenomena in complex networks. The "PQ-type" adjacency polytope, denoted and which…
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…