In a former life Allen Fogelsanger completed a dissertation in mathematics for which Cornell University awarded him a Ph.D. in 1988. It is made available here as penance for having never published it.
For slow internet connections the dissertation has been divided into pdf documents as follows:
The pages were scanned at 600 dpi and converted into pdf using ABBYY FineReader 6.0 Sprint. They are imperfectly searchable for words without symbols.
For further reading see:
Infinitesimal rigidity of almost-convex oriented polyhedra of arbitrary Euler characteristicPacific Journal of Mathematics 144/1 (Jul 1990): 71-103
Conditions for unique graph realizationsSIAM Journal on Computing 21/1 (Feb 1992): 65-84
On an algorithm for polyhedron bendability testVestnik Moskovskogo Universiteta Seriya 1 Matematika Mekhanika 2 (Mar-Apr 1994): 56-61
How to describe or design a polyhedronJournal of Intelligent and Robotic Systems 11/1-2 (1994): 135-160
Lower-bound theorems for pseudomanifoldsDiscrete and Computational Geometry 13/2 (Mar 1995): 203-216
Skeletal rigidity of simplicial complexes 1European Journal of Combinatorics 16/4 (Jul 1995): 381-403
Skeletal rigidity of simplicial complexes 2European Journal of Combinatorics 16/5 (Sep 1995): 503-523
A homological interpretation of skeletal rigidityAdvances in Applied Mathematics 25/1 (Jul 2000): 102-151
The solution of polyhedra,Doklady Mathematics 63/2 (Mar-Apr 2001): 170-173
On traces of d-stresses in the skeletons of lower dimensions of piecewise-linear d-manifolds,European Journal of Combinatorics 22/6 (Aug 2001): 801-820
Rigidity and the lower bound theorem for doubly Cohen-Macaulay complexes,Discrete and Computational Geometry 39/1-3 (Mar 2008): 411-418
Applications of Klee's Dehn-Sommerville relations,Discrete and Computational Geometry 42/2 (Sep 2009): 261-276
Algebraic methods for solution of polyhedra,Russian Mathematical Surveys 66/3 (2011): 445-505
Balanced complexes and complexes without large missing faces,Arkiv for Matematik 49/2 (Oct 2011): 335-350
This webpage was last revised on August 4, 2012.
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