# 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.