MIT Department of Electrical Engineering & Computer Science

E E C S

Topological Reasoning in Two Dimensions

Christos H. Papadimitriou
UC Berkeley

Friday, May 9, 1997
11:00 AM
Room NE43-308
Theory of Computation Seminar

Abstract

Suppose that you are told that region A is inside region B, region B intersects C, C is disjoint from D, which includes A and touches B. Is this possible --- that is, can we find actual blobs on the plane that relate in this way --- or is there a (topo)logical contradiction in these statements? This is an unexpectedly complex problem, an intriguing combination of Boolean logic and planarity; it is not known to be decidable. It even leads to an interesting alternative definition of planarity, and some novel algorithmic questions.

Host: David Karger


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Created: May 8, 1997  | Modified: Jun 24, 1997
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