Brigitte Servatius
Mathematics Department, Worcester Polytechnic Institute
100 Institute Road, Worcester, MA 01609-2280
Tel: (508) 831-5361
Fax: (508) 831-5824
MQP Topics.
HyperTriangle 2
HyperTriangle 3
HyperTriangle 3B
HyperTriangle6
HyperTriangle 6B
Geometric Series.
A vector field up close.
Power Point
PDF
Editorial Work
Fields of Interest
- Combinatorics
- Rigiditiy of Structures
- Geometric Foundations of Computer Aided Design
- Symmetry and Duality
- The History and Philosophy of Mathematics
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Books
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Selected Articles
Structural Rigidity
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"Combinatorial Rigidity,"
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"The Bracing of Grids,"
- "Birigidity in the plane,"
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"On the two dimensional generic rigidity matroid
and its dual",
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"Path decompositions of rigid graphs",
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"Combinatorics and the rigidity of frameworks",
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"Abstract and generic rigidity in the plane",
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"Abstract rigidity in n-space",
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"Graphs, digraphs, and the rigidity of grids"
- "On the Rigidity of Ramanujan Graphs",
- "Planar Minimally Rigid Graphs and Pseudo-triangulations",
- "Non-crossing frameworks with non-crossing reciprocals",
- "Combinatorial Pseudo-Triangulations",
- "The 2-dimensional rigidity of certain families of graphs",
Symmetry and Duality
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"Applying Burnside's lemma to a one-dimensional Escher problem",
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"The Symmetry of Folding Paper Dolls",
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"Cayley graphs and connectivity",
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"Construction and classification of planar Cayley graphs",
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"A note on the rank of self-dual polyhedra",
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"Self-dual graphs",
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"The 24 symmetry pairings of self--duality maps",
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"Self--dual maps on the sphere",
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"Symmetry, automorphisms, and self-duality of infinite planar graphs and tilings ",
Graph and Network Theory
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"The Structure of Locally Finite Two-Connected Graphs",
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"Analyzing the reliability of degradable networks",
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"2-satisfiability and the diagnosis of faulty
processors in massively parallel computing systems",
- "A note on Gaussian graphs",
- "Dual Eulerian Graphs,",
- "A polynomial time algorithm for determining zero euler-petrie genus
of an eulerian graph,",
Computer Aided Design
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"Constraining plane configurations in CAD:
The combinatorics of direction length designs",
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"The Geometry of Frameworks: Rigidity, Mechanisms and CAD",
Group Theory
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"Surface subgroups of graph groups",
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"The finite basis extension property and graph groups",
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"Groups assembled by free and direct products",
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"Blanua double",
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Student Activies
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Student Projects
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Education
Magister der Naturwissenschaften der Universit\"{a}t Graz,
Austria 1978
PhD. Syracuse University, 1987.
Jack Graver, advisor.
- Mathematics Master Thesis:
- \"{U}berlagerungen von Graphen (Coverings of Graphs)
- Physics Masters Thesis:
- Das Wasserstoffatom und seine Strahlung
(The Hydrogen Atom and its Radiation)
- PhD Dissertation:
- "Planar Rigidity,"
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Home page last revised: December 2006.