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Carla D. Savage

PhD, Mathematics, University of Illinois;
Professor, Department of Computer Science, North Carolina State University, Box 8206, Raleigh, NC 27695-8206
Secretary, American Mathematical Society, 201 Charles Street, Providence, RI 02904-2294

Research Interests: Combinatorics; enumeration and structure in combinatorial families; theory of partitions; linear Diophantine enumeration; lattice point enumeration; permutation statistics; the combinatorics, geometry, and number theory of lecture hall partitions.



Recent Preprints

Anti-Lecture Hall Compositions and Andrews' generalization of the Watson-Whipple transformation
C. Corteel, J. Lovejoy, and C. D. Savage, submitted

s-Lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones
M. Beck, B, Braun, M. Koeppe, C. D. Savage, and Z. Zafeirakopoulos,
Ramanujan Journal,, to appear.

The s-Eulerian polynomials have only real roots
C. D. Savage and M. Visontai,
Transactions of the American Mathematical Society, to appear.

The Eulerian polynomials of type D have only real roots
C. D. Savage and M. Visontai,
FPSAC 2013 , Paris.

Hypergeometric identities associated with statistics on words
G. E. Andrews, C. D. Savage and H. S. Wilf,
Advances in Combinatorics , Proceedings of the Waterloo Workshop on Computer Algebra - W80,
I. S. Kotsireas and E. V. Zima, eds., Springer (2013) 77-100.

Lattice point generating functions and symmetric cones
M. Beck, T. Bliem, B. Braun, and C. D. Savage,
Journal of Algebraic Combinatorics, Vol. 38, Issue 3 (2013) 543-566.

Rational lecture hall polytopes and inflated Eulerian polynomials
T. W. Pensyl and C. D. Savage,
Ramanujan Journal, Vol. 31 (2013) 97-114.

Lecture hall partitions and the wreath products C_k \wr S_n
T. W. Pensyl and C. D. Savage,
Integers, 12B, #A10 (2012/13).

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.

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
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),