We introduce a version of discrete Morse theory specific for manifolds with boundary. The
idea is to consider Morse functions for which all boundary cells are critical. We obtain …

Most of the deployable polyhedral mechanisms (DPMs) are multi-loop overconstrained
mechanisms that causes barriers for their applications due to the issues in assembly …

A centrally symmetric 2d-vertex combinatorial triangulation of the product of spheres Si× Sd−
2− i is constructed for all pairs of nonnegative integers i and d with 0⩽ i⩽ d− 2. For the case …

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Chess has been known as a game for some 2000 years. The basic form of this game was
called chaturanga, and the movements of the pieces in this game differed significantly from …

In 1995, Jockusch constructed an infinite family of centrally symmetric 3-dimensional
simplicial spheres that are cs-2-neighborly. Here we generalize his construction and show …

Tightness of a triangulated manifold is a topological condition, roughly meaning that any
simplex-wise linear embedding of the triangulation into Euclidean space is “as convex as …

simpcomp [4] is an extension (a so called package) to GAP [6], the well known system for
computational discrete algebra. The package enables the user to compute numerous …

Recently I proposed a simple dynamical network model for discrete space-time that self-
organizes as a graph with Hausdorff dimension d H= 4. The model has a geometric quantum …

simpcomp is an extension to GAP, the well known system for computational discrete
algebra. It allows the user to work with simplicial complexes. In the latest version, support for …