Carla D. Savage
Professor,
Ph. D., Mathematics, University of Illinois;
Research interests: Enumeration and structure in combinatorial families.
My special interest is in recursive
techniques that unveil the stucture of a class and exploit it to
count, generate, represent, and relate combinatorial families.
Recent efforts focus on the family of
integer partitions and tools for linear Diophantine enumeration.
Courses
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Fall 2010 - DESIGN AND ANALYSIS OF ALGORITHMS (CSC 505)
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Text:
Introduction to Algorithms - **THIRD** Edition (NOTE: NEW for 2009)
Cormen, Leiserson, Rivest, and Stein, MIT Press,
September 2009, ISBN-10: 0262033844,
ISBN-13: 978-0262033848.
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SPRING 2010 - COMBINATORICS (CSC/MA 416)
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Text:
Combinatorics and Graph Theory , Second Edition,
by John Harris, Jeffry Hirst, and Michael Mossinghoff,
Springer, September 2008, ISBN-10: 0387797106,
ISBN-13: 978-0387797106.
Recent Preprints
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The geometry of lecture hall partitions and quadratic permutation statistics
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K. L. Bright and C. D. Savage,
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Discrete Mathematics and Theoretical Computer Science,
to appear (FPSAC 2010)
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Combinatorial interpretations of binomial coefficient analogues related to Lucas sequences
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B. E. Sagan and C. D. Savage,
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submitted
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Generalizing the combinatorics of binomial coefficients via l-nomials
- - with corrections noted (thanks to Bruce Sagan)
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N. Loehr and C. D. Savage,
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Integers,
to appear.
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Symmetrically constrained compositions
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M. Beck, I. M. Gessel, S. Lee, and C. D. Savage,
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Ramanujan Journal,
to appear.
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On an identity of Gessel and Stanton and the new little
G\"ollnitz identities
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C. D. Savage and A. V. Sills
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Advances in Applied Mathematics,
to appear.
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Lecture hall sequences, q-series, and asymmetric partition identities
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S. Corteel, C. D. Savage, and A. V. Sills,
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Developments in Mathematics,
Springer, to appear.
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On q-series Identities Arising from Lecture Hall Partitions.
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G. E. Andrews, S. Corteel, and C. D. Savage,
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International Journal of Number Theory, Volume 5, No. 1 (2009) 1-11.
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Euler's partition theorem and the combinatorics of l-sequences.
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C. D. Savage and A. J. Yee,
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Journal of Combinatorial Theory, Series A, Volume 155, No. 6 (2008)
967-996.
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Complete List of Papers
Gray Code Survey Paper
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C. D. Savage, "A survey of combinatorial Gray codes",
SIAM Review ,
39, No. 4, 1997 605-629.
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Frank Ruskey's Combinatorial Object Server
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The Electronic Journal of Combinatorics
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Frank Ruskey's Venn Diagram Survey
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Our Symmetric Venn Diagram for n=7 (M1 from Ruskey's survey paper)
Email: savage AT cayley.csc.ncsu.edu
Phone: (919) 515-7863
Fax: (919) 515-7896
Mailing Address:
Department of Computer Science, Box 8206
College of Engineering,
North Carolina State University,
Raleigh, NC 27695
Group web page (private),
F,
