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5 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…
Private and Atomic Exchange of Assets over Zero Knowledge Based Payment Ledger
Zhimin Gao, Lei Xu, Keshav Kasichainula +3
Bitcoin brings a new type of digital currency that does not rely on a central system to maintain transactions. By benefiting from the concept of decentralized ledger, users who do…
A note on the topology of escaping endpoints
David Sumner Lipham
We study topological properties of the escaping endpoints and fast escaping endpoints of the Julia set of complex exponential when . We show neither…
Dispersion points and rational curves
David Sumner Lipham
We construct two connected plane sets which can be embedded into rational curves. The first is a biconnected set with a dispersion point. It answers a question of Joachim Grispolak…
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…