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Scholarly Works

Darren Narayan
Professor

2016 Submissions

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.

Narayan, Darren A. "STEM Real World Applications of Mathematics." Joint Mathematics Meetings MAA Poster Session on Projects Supported by the NSF Division of Undergraduate Education. Mathematical Association of America. Seattle, WA. 7 Jan. 2016. Conference Presentation.

Narayan, Darren A. and Roger Vargas. "Temporal Graph Theory and Functional Connectivity in the Human Brain." Joint Mathematics Meetings, AMS Session on Combinatorics and Graph Theory, V. American Mathematical Society. Seattle, WA. 9 Jan. 2016. Conference Presentation.

Narayan, Darren A. "Graph Theory Metrics for Analyzing Functional MRI Data and Brain Connectivity." Joint Mathematics Meetings. Mathematical Association of America. Seattle, WA. 9 Jan. 2016. Conference Presentation.

Narayan, Darren A. "Refining the Clustering Coefficient for Analysis of Social and Neural Network Data." Applied Mathematics Colloquium. Department of Mathematics, University of North Carolina. Chapel Hill, NC. 15 Apr. 2016. Guest Lecture.

Narayan, Darren A. "STEM Real World Applications of Mathematics." Fall MAA Seaway Section Meeting. Mathematical Association of America. Rochester, NY. 22 Oct. 2016. Conference Presentation.

2015 Submissions

Invited Keynote/Presentation

Narayan, Darren. "Panel: Undergraduate Research in Mathematics." Joint Mathematics Meetings. Mathematical Association of America. San Antonio, TX. 11 Jan. 2015. Conference Presentation. ˜

Narayan, Darren. "STEM Real World Applications of Mathematics." Joint Mathematics Meetings. MAA - NSF-DUE Poster Session. San Antonio, TX. 11 Jan. 2015. Conference Presentation. ˜

Narayan, Darren. "Modeling Functional Connectivity of the Brains of Athletes." Joint Mathematics Meetings. Mathematical Association of America. San Antonio, TX. 11 Jan. 2015. Conference Presentation. ˜

2014 Submissions

Journal Paper

Richter, Peter, et al. "Rank Numbers for Bent Ladders." Discussiones Mathematicae Graph Theory 34. (2014): 309-329. Print. * £

Lind, Joy and Darren A, Narayan. "Detecting Controversial Articles in Wikipedia." Bulletin of the Institute of Combinatorics and Its Appications 70. (2014): 57-68. Print. « £

Invited Keynote/Presentation

Narayan, Darren. "Realizing the Full Potential of Online Instructional Systems." Joint Mathematics Meetings. Mathematical Association of America. San Antonio, TX. 11 Jan. 2015. Conference Presentation. ˜

2013 Submissions

Journal Paper

Ek, Bryan, et al. "Real World Graph Efficiency." Bulletin of the Institute of Combinatorics and Its Applications 69. September (2013): 47-59. Print. £

Lind, Joy and Darren A. Narayan. "Real World Graph Efficiency." Bulletin of the Institute of Combinatorics and Its Applications 69. September (2013): 14-24. Print. £

Cahill, Nathan D., Joy Lind, and Darren A. Narayan. "Measuring Brain Connectivity." Bulletin of the Institute of Combinatorics and Its Applications 69. September (2013): 68-78. Print. ∆

Kostyuk, Victor and Darren A. Narayan. "Maximum Minimal K-rankings of Cycles." Ars Combinatoria 111. (2013): 13-31. Print. £

Ek, Bryan, Caitlin VerSchneider, and Darren A. Narayan. "Efficiency of Star-like Networks and the Atlanta Subway Network." Physica A 392. (2013): 5481-5489. Print. £

Bileschi, Maxwell, et al. "A Characterization of Optimal k-rankings of Paths and Cycles." Bulletin of the Institute of Combinatorics and Its Applications 67. (2013): 17-26. Print. £

Lind, Joy and Darren A. Narayan. "Spanning Trees and Hierarchical Networks." Bulletin of the Institute of Combinatorics and Its Applications 67. 1 (2013): 119-127. Print. £

Lind, Joy and Darren A. Narayan. "Page Ranking by Internet Search Engines." Bulletin of the Institute of Combinatorics and Its Applications 67. 1 (2013): 94-98. Print. £

Lind, Joy and Darren A. Narayan. "Optimal Matching of Approvers to Access Requests." Bulletin of the Institute of Combinatorics and Its Applications 67. 1 (2013): 99-103. Print. £

Dorff, Michael and Darren A. Narayan. "Obtaining Funding and Support for Undergraduate Research." PRIMUS 23. (2013): 776-784. Print. ∆ £

2012 Submissions

Journal Paper

Jamison, Robert E. and Darren A. Narayan. "Max-Optimal and Sum-Optimal Labelings of Graphs." Information Processing Letters (Elsevier Science) 112. 1-2 (2012): 26-31. Print. £

Invited Keynote/Presentation

Narayan, Darren A. "Finding Funding and Support for Building an Undergraduate Research Program." 2012 Trends in Undergraduate Research in the Mathematical Sciences Conference. Mathematical Association of America. Chicago, IL. 28 Oct. 2012. Conference Presentation.

Narayan, Darren A. "Efficiency of Graphs." Fall Eastern Section Meeting, American Mathematical Society. Rochester Institute of Technology. Rochester, NY. 23 Sep. 2012. Conference Presentation.

2010 Submissions

Published Article

Narayan, D. A. et al. “Representation numbers for complete graphs minus a disjoint union of graphs.” Journal of Combinatorical Mathematics and 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. † ≠ *

Narayan, Darren A. et al. “Greedy algorithms for generalized rankings of graphs.” Information Processing Letters, 110 (2010): 979-985. Print. † ≠ *

Narayan, Darren A. “Maximum Flow in Fiber-Optic Networks.” Bulletin of the Institute of Combinatorics and Its Applications, 60 (September 2010): 91-96. Print. ≠ *

Adams, Sarah, R. Gillman, D. Narayan.”Balancing the R with the E in REU Programs.” Resources for Undergraduate Research, 6 (2010): n.p. Web. ≠

Formal Presentation

Narayan, Darren. “Mathematical Quips, Quotes, Rumors, and Humorous 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.