Biography and education
Lucas Rusnak received his Ph.D from Binghamton University in 2010. His research is in oriented hypergraphs and combinatorial matrix theory. He is particularly interested in generalizations of the structural and matroidal properties of signed and gain graphs, as well as the roles frustration and balance play in oriented hypergraphs.
Featured grants
- Rusnak, Lucas J. REP: Oriented hypergraphs, REP, Texas State University, $7583. (Submitted: October 25, 2017, Funded: May 31, 2019). Grant.
- Rusnak, Lucas J. A Characterization of Diagnostic Efficacy via Structural Balance, Translational Health Research Center, Texas State University, $5000. (Funded: May 31, 2021 - December 31, 2021). Grant.
- Rusnak, Lucas J. Library Research Grant, Texas State University, Texas State University, $858.97. (Submitted: 2016). Grant.
Featured scholarly/creative works
- Tomasso, M. E., Rusnak, L. J., & Tesic, J. (2022). Advances in Scaling Community Discovery Methods for Large Signed Graph Networks. Network Science, 10(3). https://doi.org/10.1093/comnet/cnac013
- Rusnak, L. J., & Tesic, J. (2021). Characterizing Attitudinal Network Graphs through Frustration Cloud. Data Mining and Knowledge Discovery, 35(6), 2498–2539. https://doi.org/10.1007/s10618-021-00795-z
- Rusnak, L. J., Shroff, P. R., Couvillion, E. B., & Schmidt, M. (2019). Oriented Hypergraphic Matrix-tree Type Theorems and Bidirected Minors via Boolean Order Ideals. Journal of Algebraic Combinatorics, 49(4), 461–473. https://doi.org/https://doi.org/10.1007/s10801-018-0831-5
- Rusnak, L. J., Couvillion, E. B., Chen, G., Liu, V., & Wang, K. (2018). A Characterization of Oriented Hypergraphic Laplacian and Adjacency Matrix Coefficients. Linear Algebra and Its Applications, 556, 323–341. https://doi.org/https://doi.org/10.1016/j.laa.2018.07.012
- Rusnak, L. J. (2013). Oriented Hypergraphs: Introduction and Balance. Electronic Journal of Combinatorics, 20(3), 1–29. https://doi.org/https://doi.org/10.37236/2763
Featured awards
- Award / Honor Recipient: Presidential Distinction Award for Excellence in Teaching 2019, Texas State University. 2019
- Award / Honor Recipient: Presidential Distinction Award for Excellence in Teaching 2018, Texas State University. 2018
- Award / Honor Recipient: 2024 Math Department Service Award (Associate/Full). 2024
- Award / Honor Recipient: 2021 Health Scholar Showcase Award, TXST Translational Health Center. December 2021
- Award / Honor Nominee: President Award for Excellence in Teaching 2019, Texas State University. 2019
Featured service activities
- Chair
Program and Curriculum Committee
- Chair
Senate Academic Freedom Comittee
- Member
STEM Living Learning Community
- Member
Exc2el Advisory Board
- Reviewer / Referee
Discrete Mathematics
- University Mentor
Department of Mathematics