We propose an automated routine for hierarchical menu structure optimization. A computer advice-giving system founded on the mathematical model of menu navigation directs the desi...
This work presents a stratification approach for modeling two-dimensional cell complexes. It introduces the concept of combinatorial stratification and uses the Handlebody theory ...
Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We...
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
Mathematical modeling of growing multicellular structures creates the problem of solving systems of equations in which not only the values of variables, but the equations themselv...