Darren Narayan Headshot

Darren Narayan

Professor

School of Mathematics and Statistics
College of Science
dansma@rit.edu
585-475-2514
Office Hours
My office hours are on Mondays from 4:00-5:00 and Wednesdays from 1:00-2:00 on Zoom. See the links on mycourses. Additional times are available by appointment.
Office Location
GOS-2228
Office Mailing Address
Gosnell Building 08 Room: 2228

Darren Narayan

Professor

School of Mathematics and Statistics
College of Science

Education

BS, State University of New York at Binghamton; MS, Ph.D., Lehigh University

Personal Links
Areas of Expertise
Graph Theory
Combinatorics
Social Networks
Functional Connectivity of the Brain
Mathematical Modeling

Select Scholarship

Journal Paper
Merchant-Borna, K., et al. "Novel Method of Weighting Cumulative Helmet Impacts Improves Correlation with Brain White Matter Changes After One Football Season of Sub-concussive Head Blows." Annals of Biomedical Engineering 44. 12 (2016): 3679-3692. Print.
Vargas, R., et al. "Refining the Clustering Coefficient for Analysis of Social and Neural Network Data." Social Network Analysis and Mining (Springer) 6. 49 (2016): 1-8. Print.
Swart, B., et al. "Extrema Property of the k-ranking of Directed Paths and Cycles." AKCE Int. J. Graphs Comb. 13. (2016): 38-53. Print.
Invited Keynote/Presentation
Narayan, Darren A. "Graph Theory Methods for Analyzing Social and Neural Network Data." Data Science Seminar, Department of Mathematics. College of William and Mary. Williamsburg, VA. 2 Mar. 2016. Guest Lecture.
Narayan, Darren A. "Stem Real World Applications of Mathematics." SIAM Conference on Applied Mathematics Education. Society for Industrial and Applied Mathematics. Philadelphia, PA. 30 Sep. 2016. Conference Presentation.
Narayan, Darren A. "STEM Real World Applications of Mathematics,." Careers in Mathematics Speaker Series. Department of Mathematics, Brigham Young University. Provo, UT. 28 Oct. 2016. Guest Lecture.
Published Article
Narayan, D. A. et al. “Representation numbers for complete graphs minus a disjoint union of graphs.” Journal of Combinatorical Mathematicsand Combinatorial Computing, 72 (2010),173-180. Print. *
Narayan, Darren A. et al. “Minimal k-rankings of prism graphs”, Involve, 3:2 (2010): 183-190. Print. "  É  *
Narayan, Darren A. et al. “Greedy algorithms for generalized rankings of graphs.” Information ProcessingLetters, 110 (2010): 979-985. Print. "  É  *
Formal Presentation
Narayan, Darren. “Mathematical Quips, Quotes, Rumors, andHumorous Tales” Spring 2010 Meeting of the Seaway Section of the Mathematical Association of America. Oswego, NY. April 2010. Presentation.
Narayan, Darren A. “Intermediate Ordered Colorings of Graphs.”AMS Session on Discrete Mathematics, VI,Joint Mathematics Meetings. San Francisco,CA. January 2010. Presentation.

Currently Teaching

MATH-190
Discrete Mathematics for Computing
3 Credits
This course introduces students to ideas and techniques from discrete mathematics that are widely used in Computer Science. Students will learn about the fundamentals of propositional and predicate calculus, set theory, relations, recursive structures and counting. This course will help increase students’ mathematical sophistication and their ability to handle abstract problems.
MATH-351
Graph Theory
3 Credits
This course covers the theory of graphs and networks for both directed and undirected graphs. Topics include graph isomorphism, Eulerian and Hamiltonian graphs, matching, covers, connectivity, coloring, and planarity. There is an emphasis on applications to real world problems and on graph algorithms such as those for spanning trees, shortest paths, and network flows.
MATH-361
Combinatorics
3 Credits
This course introduces the mathematical theory of enumeration of discrete structures. Topics include enumeration, combinatorial proofs, recursion, inclusion-exclusion, and generating functions.
MATH-790
Research & Thesis
0 - 9 Credits
Masters-level research by the candidate on an appropriate topic as arranged between the candidate and the research advisor.
MATH-799
MATH GRADUATE Independent Study
1 - 3 Credits
Independent Study

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