curriculum vitae

RICHARD HAMMACK

Virginia Commonwealth University
Department of Mathematics and Applied Mathematics
1015 Floyd Ave.
Richmond, Virginia 23284-2014

4105 Harris Hall
804-828-6237
rhammack @ vcu . edu
www.people.vcu.edu/~rhammack

EDUCATION:

Ph.D. in Mathematics, 1996

University of North Carolina
at Chapel Hill

M.S. in Computer Science, 1988

Virginia Commonwealth University
Richmond, Virginia

B.F.A. in Painting, 1983

Rhode Island School of Design
Providence, Rhode Island

ACADEMIC APPOINTMENTS:

Associate Professor, Virginia Commonwealth University, August 2006–present
Associate Professor, Randolph-Macon College, May 2005–May 2006
Assistant Professor, Randolph-Macon College, September 2000–May 2005
Visiting Assistant Professor, Wake Forest University, August 1997 –May 2000
Visiting Instructor and GTA, UNC - Chapel Hill, Fall 1989–Summer 1997
Instructor, Virginia Commonwealth University Department of Mathematical Sciences , August 1988—May 1989

TEACHING AWARDS:

Recipient: UNC Tanner Award For Excellence in Undergraduate Teaching, February 1997 (university-wide award)
Recipient: UNC J. Burton Linker Award for Excellence in Teaching, May 1993 (departmental award)
Nominee: Tanner Award For Excellence in Undergraduate Teaching, February 1994
Nominee: Tanner Award For Excellence in Undergraduate Teaching, February 1993

RESEARCH PUBLICATIONS:

On Cartesian skeletons of graphs, (with Wilfried Imrich), Ars Mathematica Contemporanea, 2(2): 191–205, 2009.
Cancellation of direct products of digraphs (with Katherine Toman) Discussiones Mathematicae Graph Theory, to appear.
Proof of a conjecture concerning the direct product of bipartite graphs, European Journal of Combinatorics (Special Issue on Metric Graph Theory), 30: 1114–1118, 2009.
Direct product factorization of bipartite graphs with bipartition-reversing involutions (with Ghidewon Abay-Asmerom, Craig Larson and Dewey Taylor), SIAM Journal on Discrete Mathematics, to appear.
Minimum cycle bases of direct products of graphs with cycles (with Zachary Bradshaw), Ars Mathematica Contemporanea, 2(1): 101–119, 2009.
Factorial properties of graphs (with Ghidewon Abay-Asmerom and Dewey Taylor), Australasian Journal of Combinatorics, 44: 265–272, 2009.
On direct product cancellation of graphs, Discrete Mathematics, 309: 2538–2543, 2009.
Perfect r-codes in strong products of graphs (with Ghidewon Abay-Asmerom and Dewey Taylor), Bulletin of the ICA, 55: 66–72, 2009.
Unique prime Cartesian Factorization of graphs over a finite field, Missouri Journal of Mathematical Sciences, 21(3): 149–154, 2009.
Complementary composition of graphs (with Ghidewon Abay-Asmerom and Dewey Taylor), Congressus Numernatium, 189: 113–120, 2008.
A cancellation property for the direct product of graphs, Discussiones Mathematicae Graph Theory, 28(1) 179–185, 2008.
A quasi cancellation property for the direct product, Proceedings of the Sixth Slovenian International Conference on Graph Theory, to appear.
Total perfect codes in tensor products of graphs (with Ghidewon Abay-Asmerom and Dewey Taylor), Ars Combinatoria, 88: 129–234, 2008.
Fractional graphs, Australasian Journal of Combinatorics, 39: 135–140, 2007.
Minimum cycle bases of direct products of complete graphs, Information Processing Letters, 102: 214–218, 2007.
Isomorphic components of direct products of bipartite graphs, Discussiones Mathematicae Graph Theory, 26(2): 231–248, 2006
Minimum cycle bases of direct products of bipartite graphs, Australasian Journal of Combinatorics, 36: 13–26, 2006.
Square contractions of graphs, Australasian Journal of Combinatorics, 36: 213–221, 2006.
Centers of tensor products of graphs, (with Ghidewon Abay-Asmerom), Ars Combinatoria, 74: 201–211, 2005.
Centers of n-fold tensor products of graphs, (with Sarah Bendall), Discussiones Mathematicae: Graph Theory, 24: 491–501, 2004.
Equitable chromatic number of complete multipartite graphs, (with Dorothee Blum and Denise Grittner), Missouri Journal of Mathematical Sciences, 15: 75–81, 2003.
A note on the complexity of computing cyclicity, Ars Combinatoria, 63:89–95, 2002.
Cyclicity of graphs, Journal of Graph Theory, 32(2): 160–170, 1999.
Circularity of planar graphs, Houston Journal of Mathematics, 25(2): 213–221, 1999.

TEACHING AND EXPOSITORY PUBLICATIONS:

A geometric view of complex trigonometric functions, College Mathematics Journal, 38(3): 210–217, May 2007.
Alternating Series Convergence: A visual proof (with David Lyons), Teaching Mathematics and its Applications, 25(2): 58–60, 2006.
An informal approach to formal inner products, Missouri Journal of Mathematical Sciences, 17: 153–160, 2005.
Proof Without Words (with David Lyons), College Mathematics Journal, 32(1): p 72, 2005.
A simple way to teach logarithms (with David Lyons), Mathematics Teacher, 88(5): 374–375, 1995.

TALKS AND PRESENTATIONS:

An aspect of direct product cancellation of digraphs, Algebraic Graph Theory 2009, Dubrovnik, Croatia, June 1, 2009
Isomorphic components of direct products of bipartite graphs II , Joint Meetings of the MAA and AMS, Washington D.C., January 8, 2009
The anamorphic image, Randolph-Macon College, October 17, 2008
Direct product cancellation, 46th Midwest Graph Theory Conference, West Virginia University, Morgantown WV, April 26, 2008
A quasi cancellation property for the direct product, Sixth Slovenian International Conference on Graph Theory, Lake Bled, Slovenia, June 25, 2007
Minimum cycle bases of direct products of bipartite graphs, Joint Meetings of the MAA and AMS, New Orleans, LA, January 7, 2007
What does a graph fraction look like? MAA MD-VA-DC Section Meeting, Longwood University, Farmville, VA, November 4, 2006
Visual proof of the Alternating Series Test, MAA VA-MD-DC Section meeting, University of Virginia, April 2, 2005
Contracting graphs to squares, Joint Meetings of the MAA and AMS, Atlanta, GA, January 7, 2005
A complement criterion for cyclicity, National Meeting of the MAA, Providence, RI, August 14, 2004
Integrate THIS: The mathematics of planimeters, R-MC Mathematics Department Colloquium, May 5, 2004
Centers of tensor products of graphs, National Joint Meeting of AMS and MAA, Baltimore, MD, January 17, 2003
An informal approach to formal inner products, MAA MD-VA-DC Section Meeting, University of Maryland, College Park, November 1, 2002
Recent results in cyclicity, Virginia Commonwealth University Mathematics Colloquium, November 7, 2001
Cyclicity of products, Fourth N.C. Mini-Conference on Graph Theory, Combinatorics, and Computing, Appalachian State University, Boone, N.C., April 16, 1999
Using computer graphics to visualize meromorphic functions on Riemann surfaces, MAA Southeastern Section Meeting, Rhodes College, Memphis, Tenn., March 12, 1999
Circularity of planar graphs, MAA Southeastern Section Meeting, College of Charleston, Charleston, S.C., March 13, 1998

PROFESSIONAL MEMBERSHIPS:

American Mathematical Society
Mathematical Association of America
The Institute of Combinatorics and its Applications