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
SPRING 2011 - GRAPH THEORY (CSC/MA/OR 565)

Text: Introduction to Graph Theory, **Second** Edition, by Douglas B. West, Prentice Hall, ISBN 0130144002
SPRING 2011 - DESIGN AND ANALYSIS OF ALGORITHMS (CSC 505)

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.
SPRING 2010 - COMBINATORICS (CSC/MA 416) 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

Rational lecture hall polytopes and inflated Eulerian polynomials
T. W. Pensyl and C. D. Savage, submitted.

Hypergeometric identities associated with statistics on words
G. E. Andrews, C. D. Savage and H. S. Wilf, submitted

The 1/k -Eulerian Polynomials
C. D. Savage and G. Viswanathan,
The Electronic Journal of Combinatorics, Vol. 19 (2012) Research Paper P9 , 21 pp. (electronic).

Ehrhart series of lecture hall polytopes and Eulerian polynomials for inversion sequences,
C. D. Savage and M. J. Schuster,
Journal of Combinatorial Theory, Series A, Vol. 119 (2012) 850-870.

Lecture hall sequences, q-series, and asymmetric partition identities
S. Corteel, C. D. Savage, and A. V. Sills,
in Partitions, q-series, and Modular Forms,
Developments in Mathematics, vol. 23, Krishnaswami Alladi and Frank Garvan, eds., Springer (2012) 53-68.

Mahonian pairs,
B. E. Sagan and C. D. Savage,
Journal of Combinatorial Theory, Series A 119 (2012) 526-545.

On an identity of Gessel and Stanton and the new little G\"ollnitz identities
C. D. Savage and A. V. Sills
Advances in Applied Mathematics 46 (2011) 563-575.

The geometry of lecture hall partitions and quadratic permutation statistics
K. L. Bright and C. D. Savage,
Discrete Mathematics and Theoretical Computer Science Proceedings,
22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), San Francisco, August 2010, 569-580.

Combinatorial interpretations of binomial coefficient analogues related to Lucas sequences
B. E. Sagan and C. D. Savage,
Integers, Vol. 10 (2010) A52, 697-703.

Generalizing the combinatorics of binomial coefficients via l-nomials
N. Loehr and C. D. Savage,
Integers, Vol. 10 (2010) A45, 531-558.

Symmetrically constrained compositions
M. Beck, I. M. Gessel, S. Lee, and C. D. Savage,
Ramanujan Journal, Vol. 23 (2010) 355-369.

On q-series Identities Arising from Lecture Hall Partitions.
G. E. Andrews, S. Corteel, and C. D. Savage,
International Journal of Number Theory, Volume 5, No. 1 (2009) 1-11.

Euler's partition theorem and the combinatorics of l-sequences.
C. D. Savage and A. J. Yee,
Journal of Combinatorial Theory, Series A, Volume 155, No. 6 (2008) 967-996.

Complete List of Papers

Gray Code Survey Paper

C. D. Savage, "A survey of combinatorial Gray codes", SIAM Review , 39, No. 4, 1997 605-629.

Frank Ruskey's Combinatorial Object Server

The Electronic Journal of Combinatorics

Frank Ruskey's Venn Diagram Survey

Our Symmetric Venn Diagram for n=7 (M1 from Ruskey's survey paper)

Email: savage AT 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,

Carla D. Savage

Professor, Ph. D., Mathematics, University of Illinois;

Courses

SPRING 2011 - GRAPH THEORY (CSC/MA/OR 565)

Text: Introduction to Graph Theory, Second Edition, by Douglas B. West, Prentice Hall, ISBN 0130144002

SPRING 2011 - DESIGN AND ANALYSIS OF ALGORITHMS (CSC 505)

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.

SPRING 2010 - COMBINATORICS (CSC/MA 416)

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

Complete List of Papers

Gray Code Survey Paper

Frank Ruskey's Combinatorial Object Server

The Electronic Journal of Combinatorics

Frank Ruskey's Venn Diagram Survey

Our Symmetric Venn Diagram for n=7 (M1 from Ruskey's survey paper)

Carla D. Savage

Professor, Ph. D., Mathematics, University of Illinois;

Courses

SPRING 2011 - GRAPH THEORY (CSC/MA/OR 565)

Text: Introduction to Graph Theory, **Second** Edition, by Douglas B. West, Prentice Hall, ISBN 0130144002

SPRING 2011 - DESIGN AND ANALYSIS OF ALGORITHMS (CSC 505)

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.

SPRING 2010 - COMBINATORICS (CSC/MA 416)

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

Complete List of Papers

Gray Code Survey Paper

Frank Ruskey's Combinatorial Object Server

The Electronic Journal of Combinatorics

Frank Ruskey's Venn Diagram Survey

Our Symmetric Venn Diagram for n=7 (M1 from Ruskey's survey paper)

Text: Introduction to Graph Theory, Second Edition, by Douglas B. West, Prentice Hall, ISBN 0130144002

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.