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.

Courses

SPRING 2013 - GRAPH THEORY (CSC/MA/OR 565)

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

Recent Preprints

The Eulerian polynomials of type D have only real roots

C. D. Savage and M. Visontai, FPSAC 2013, Paris.

s-Lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones

M. Beck, B, Braun, M. Koeppe, C. D. Savage, and Z. Zafeirakopoulos, submitted.

The s-Eulerian polynomials have only real roots

C. D. Savage and M. Visontai, submitted.

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 , Springer, to appear.

Lattice point generating functions and symmetric cones

M. Beck, T. Bliem, B. Braun, and C. D. Savage,

Journal of Algebraic Combinatorics, to appear, DOI: 10.1007/s10801-012-0414-9

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)

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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,