We present and discuss seven different open problems in applied combinatorics. The application areas relevant to this compilation include quantum computing, algorithmic differentiation, topolog-ical data analysis, iterative methods, hypergraph cut algorithms, and power systems.
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Open problems,applied combinatorics,quan-tum computing,quantum circuit,hypergraphs,algorithmic differenti-ation,directed acyclic graphs,zero-forcing,topological data analysis,Dowker complex,asynchronous updates,iterative methods