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 2009 - GRAPH THEORY (CSC/MA/OR 565)
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Text:
Introduction to Graph Theory, **Second** Edition,
by Douglas B. West,
Prentice Hall,
ISBN 0130144002
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Spring 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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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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JCTA, 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,
submitted.
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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,
submitted.
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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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Enumeration of Integer Solutions to Linear Inequalities Defined by
Digraphs
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J. W. Davis, E. D'Souza, S. Lee, and C. D. Savage,
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Contemporary Mathematics, Vol. 452 (2008) 79-91.
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Let me tell you my favorite lattice-point problem
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M. Beck, B. Nill, B. Reznick, C. Savage, I. Soprunov, and
Z. Xu,
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Contemporary Mathematics, Vol. 452 (2008) 179-187.
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An update on the middle levels problem
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I. Shields, B. J. Shields, and C. D. Savage,
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Discrete Mathematics, 309 (2009), 5271-5277
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On the existence of summetric chain decompositions in a quotient of
the Boolean lattice
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Z. Jiang and C. D. Savage,
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Discrete Mathematics, 309 (2009), 5278-5283
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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,
