Scholarship

Peer Reviewed Publications

• "Symmetry Parameters of Various Hypercube Families" , D. Boutin, S. Cockburn, L. Keough, S. Loeb, P. Rombach, Art Discrete Appl. Math. 6  https://doi.org/10.26493/2590-9770.1481.29d, 2023.

• "An Extremal Problem for the Neighborhood Lights Out Game", L. Keough and D. Parker, https://www.dmgt.uz.zgora.pl/publish/pdf.php?doi=2481, 2022.

• "Distinguishing Generalized Mycielskian Graphs", D. Boutin, S. Cockburn,  L. Keough, S. Loeb, K.E. Perry, P. Rombach, Australasian Journal of Combinatorics, https://ajc.maths.uq.edu.au/pdf/83/ajc_v83_p225.pdf, 2022.

• "Maximizing 2-Independent Sets in 3-Uniform Hypergraphs", Electronic Journal of Combinatorics, L. Keough and A.J. Radcliffe, https://doi.org/10.37236/9365, 2022.

• "Determining Number and Cost of Generalized Mycielskian Graphs" , D. Boutin, S. Cockburn, L. Keough, S. Loeb, K.E. Perry, P. Rombach, Discussiones Mathematicae Graph Theory, https://www.dmgt.uz.zgora.pl/publish/article.php?doi=2438, 2021.

• "Symmetry Parameters for Mycielskian Graphs". D. Boutin, S. Cockburn, L. Keough, S. Loeb, K.E. Perry, and P. Rombach. Research Trends in Graph Theory and Applications, Association for Women in Mathematics Series, Springer, https://link.springer.com/chapter/10.1007/978-3-030-77983-2_5, 2021.

• "Independent Sets in n-vertex k-chromatic l-connected Graphs", J. Engbers, L. Keough, and T. Short, Discrete Mathematics, https://doi.org/10.1016/j.disc.2021.112376, 2021.

• "A Note on the Maximum Rectilinear Crossing Number of Spiders", J. Fallon, K. Hogenson, L. Keough, M. Lomelí, M. Schaefer, P. Soberón. Journal Of Combinatorial Math and Combinatorial Computing. 113 (2020), 127-139. https://arxiv.org/abs/1808.00385, 2020.

• "Toward a Nordhaus-Gaddum Inequality for the Number of Dominating Sets",  L. Keough and D. Shane*, Involve, https://msp.org/involve/2019/12-7/p07.xhtml, 2019.

• "k-Foldability of Words", B. Bjorkman, G. Cochran, W. Gao, L. Keough, R. Kirsch, M. Phillipson, D. Rorabaugh, H. Smith, and J. Wise, Discrete Applied Mathematics, https://www.sciencedirect.com/science/article/pii/S0166218X19300046, 2019.

• "The Avalanche Polynomial of a Graph", D. Austin*, M. Chambers*, R. Funke*, L.D. García Puente, L. Keough.  Australasian Journal of Combinatorics, https://ajc.maths.uq.edu.au/pdf/72/ajc_v72_p421.pdf, 2018.

• "Extremal Problems for Matchings and Independent Sets", L. Keough, and A.J. Radcliffe. Graphs and Combinatorics, http://link.springer.com/article/10.1007/s00373-018-1941-5, 2018.

• "Mass Incarceration and Eviction Applications in Calculus: A First-Timer Approach", K. Hoke, L. Keough, and J. Wares. PRIMUS, https://www.tandfonline.com/doi/abs/10.1080/10511970.2018.1505792, 2018. Here's a link to the latest version of the assignment on incarceration!

• "Graphs with the Fewest Matchings", L. Keough and A.J. Radcliffe, Combinatorica, https://link.springer.com/article/10.1007/s00493-014-3188-y, 2016.

Submitted

•  “Triangle-degree and Triangle-distinct Graphs”, Z. Berikkzy, B. Bjorkman, H. Smith Blake, S. Jahanbekam, L. Keough, K. Moss, D. Rorabaugh, S. Shan. Submitted to Discrete Mathematics, June 2022.
   

(*Denotes undergraduate co-author)