# Dan Cranston

Associate Professor Department of Mathematics and Applied Mathematics

dcranston@vcu.edu

**EDUCATION**

University of Illinois at Urbana-Champaign:

Ph.D. in Computer Science, May 2007. Advisor: Douglas West.

Thesis: Coloring and Labeling Problems on Graphs.

M.S. in Computer Science, January 2004. Advisor: Jeﬀ Erickson.

M.S. in Applied Mathematics, Optimization and Algorithms, December 2000.

B.A. Major in Mathematics, magna cum laude, May 1999. Honors program.

**RESEARCH**

My research focuses on graph theory, combinatorics, and algorithm design. In particular, I study structural and extremal graph theory, specifically graph coloring. Graph coloring encodes the problem of partitioning a set of objects into subsets subject to certain constraints (for example, finding sets of jobs that can run in parallel).

**SELECTED PUBLICATIONS**

Daniel W. Cranston and Landon Rabern. Coloring claw-free graphs with ∆ − 1 colors. SIAM Journal of Discrete Math. Vol. 27(1), 2013, pp. 534–549.

Daniel W. Cranston, Seog-Jin Kim, and Gexin Yu. Injective Colorings of Graphs with Low Average Degree. Algorithmica. Vol. 60(3), July 2011, pp. 553–568.

Daniel W. Cranston and Seog-Jin Kim. List-coloring the Square of a Subcubic Graph. Journal of Graph Theory. Vol. 57, January 2008, pp. 65–87.

Daniel W. Cranston. Regular Bipartite Graphs are Antimagic. J. of Graph Theory. Vol. 60, March 2009, pp. 173–182.

**PROFESSIONAL AFFILIATIONS**

American Mathematical Society (AMS)

Society of Industrial and Applied Mathematics (SIAM)

**HONORS **

AMS Project NExT Fellow 2012-2013

Included in AcademicKeys Who’s Who in Sciences Higher Education (WWSHE) 2013

Nominated (1 of 2) for secretary of SIAM Activity Group on Discrete Mathematics 2012

**PROFESSIONAL ACTIVITIES**

Refereed more than 70 articles for 21 journals

Reviewed 9 articles for Math Reviews

Organized or co-organized 4 special sessions at AMS or SIAM conferences

60 Invited conference or seminar presentations