Andrew R. Plummer Department of Linguistics The Ohio State University 204 Oxley Hall 1712 Neil Avenue Columbus, OH 43210 Office: 204 Oxley Hall Phone: (614) 688-3108 email: plummer@ling.osu.edu Graduate Student Mathematical Linguistics Computational Linguistics CV pdf Convergent Grammar Commies: LLIC The Haskell Tesla on Edison Flames

Publications | Presentations | Course Links | Academic Links | Additional Links

Publications

Logic and Language Theory | Graph Theory

Logic and Language Theory

• Andrew R. Plummer. S4 enriched multimodal categorial grammars are context-free. Theoretical Computer Science 388 (2007) 173 - 180. Corrigendum.

Graph Theory

• Andrew R. Plummer. "Characterizations in Domination Theory." Master's Thesis, Georgia State University, 2006.

• Johannes H. Hattingh, Elizabeth Jonck, Ernst J. Joubert and Andrew R. Plummer. Total restrained domination in trees. Discrete Mathematics 307 (2007) 1643 - 1650.

• Johannes H. Hattingh, Elizabeth Jonck, Ernst J. Joubert and Andrew R. Plummer. Nordhaus-Gaddum results for restrained domination and total restrained domination in graphs. Discrete Mathematics 308 (2008) 1080 - 1087.

• Hua-Ming Xing, Johannes H. Hattingh and Andrew R. Plummer. On the domination number of Hamiltonian graphs with minimum degree six. Applied Mathematics Letters 21 (2008) 1037 - 1040.

• Johannes H. Hattingh and Andrew R. Plummer. Restrained bondage in graphs. Discrete Mathematics 308 (2008) 5446 - 5453.

• Johannes H. Hattingh, Ernst J. Joubert, Marc Loizeaux, Andrew R. Plummer and Lucas van der Merwe. Restrained domination in unicyclic graphs. Discussiones Mathematicae Graph Theory 29 (1) (2009) 71 - 86.

• Johannes H. Hattingh and Andrew R. Plummer. A note on restrained domination in trees. To appear in Ars Combinatoria.

• Johannes H. Hattingh, Elizabeth Jonck, Ernst J. Joubert and Andrew R. Plummer. Total restrained domination in unicyclic graphs. To appear in Utilitas Mathematica.

Presentations

• Proof Techniques for Total Restrained Domination in Trees. Georgia State University Seminar on Topics in Combinatorics with Applications, March 2, 2006.

• Total Restrained Domination in Trees. Presented at the 37th Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Boca Raton, FL, March 8, 2006.

• Nordhaus-Gaddum Results for Restrained Domination and Total Restrained Domination in Graphs. Presented at the 19th Cumberland Conference on Combinatorics, Graph Theory, and Computing, Johnson City, TN, May 20, 2006.

Course Links

Spring 2009: LING 820: Syntax Seminar
Winter 2009: LING 681: Algebraic Linguistics
Autumn 2008: LING 680: Formal Foundations

Academic Links

The Ohio State University

OSU Department of Linguistics
≡Convergent Grammar
≡Higher Order Grammar
≡Commies: LLIC
OSU Department of Mathematics
OSU Department of Computer Science and Engineering
OSU Department of Philosophy

Georgia State University

GSU Department of Mathematics and Statistics
GSU Department of Computer Science  
GSU Department of Philosophy

Florida International University

FIU Mathematics Department
FIU Linguistics Program

Additional Links

Associations

American Mathematical Society
Association for Computing Machinery
Association for Symbolic Logic
Association of Logic, Language and Information
Linguistic Society of America

Resources

Linguist List
MathSci
MathWorld
PlanetMath
Stanford Encyclopedia of Philosophy

Mathematics in The Simpsons. It should be obvious to even the most dim-witted individual who holds an advanced degree in hyperbolic topology.

A Mathematician's Apology.

Publications | Presentations | Course Links | Academic Links | Additional Links