Nontraversierbar

Nontraversierbar is a German adjective used in technical contexts to indicate that something cannot be traversed or crossed by a valid path. It is the negation of traversierbar, formed with the prefix non- and the verb traversieren (to traverse). In mathematics, computer science, and related fields, nontraversierbar describes spaces, graphs, or processes in which no permitted route or sequence of steps connects two points under a given set of rules.

In graph theory, a region or connection is nontraversierbar if there is no permissible path between two nodes, due to missing edges, blocked routes, or constraints. In topology or geometry, a region may be nontraversierbar with respect to a certain class of curves or deformations, meaning that any attempt to connect points would violate the constraints. In robotics and motion planning, the configuration space may contain nontraversierbar areas where a robot cannot reach certain configurations without violating obstacles or energy limits.

The term is largely confined to German-language writings and is often used alongside more common synonyms such as unpassierbar or nicht durchquerbar, depending on the field. As with similar adjectives, its precise meaning depends on the defined rules and context for what constitutes a valid traversal.

See also: traversierbar, durchquerbar, unpassierbar, nicht durchquerbar.