Carla D. Savage
PhD, Mathematics, University of Illinois;
Professor, Department of Computer Science, North Carolina State University, Box 8206, Raleigh, NC 276958206
Secretary, American Mathematical Society, 201 Charles Street, Providence, RI 029042294
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 2015  GRAPH THEORY (CSC/MA/OR 565)

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

AntiLecture Hall Compositions and Andrews' generalization of the WatsonWhipple transformation

C. Corteel, J. Lovejoy, and C. D. Savage, submitted

sLecture hall partitions, selfreciprocal polynomials, and Gorenstein cones

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

Ramanujan Journal,, to appear.

The sEulerian 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) 77100.

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) 543566.

Rational lecture hall polytopes
and inflated Eulerian polynomials

T. W. Pensyl and C. D. Savage,

Ramanujan Journal,
Vol. 31 (2013) 97114.

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) 850870.

Lecture hall sequences, qseries, and asymmetric partition identities

S. Corteel, C. D. Savage, and A. V. Sills,

in
Partitions, qseries, and Modular Forms,

Developments in Mathematics,
vol. 23,

Krishnaswami Alladi and Frank Garvan, eds., Springer (2012) 5368.


Mahonian pairs,

B. E. Sagan and C. D. Savage,

Journal of Combinatorial Theory, Series A
119 (2012) 526545.

Complete List of Papers
Gray Code Survey Paper

C. D. Savage, "A survey of combinatorial Gray codes",
SIAM Review ,
39, No. 4, 1997 605629.

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) 5157863
Fax: (919) 5157896
Mailing Address:
Department of Computer Science, Box 8206
College of Engineering,
North Carolina State University,
Raleigh, NC 27695
Group web page (private),
F,