Faculty Profiles

Rusnak, L. J., Reynes, J. E. A., Li, R. L., Yan, E., & Yu, J. (2024). The Determinant of {±1}-Matrices and Oriented Hypergraphs. Linear Algebra and Its Applications, 702, 161–178. https://doi.org/10.1016/j.laa.2024.08.013

Grilliette, W., & Rusnak, L. J. (2023). Incidence hypergraphs: the categorical inconsistency of set-systems and a characterization of quiver exponentials. Journal of Algebraic Combinatorics, 58(1), 1–36. https://doi.org/https://doi.org/10.1007/s10801-023-01232-8

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., Li, S., Xu, B., Yan, E., & Zhu, S. (2022). Oriented hypergraphs: Balanceability. Discrete Mathematics, 345(6). https://doi.org/https://doi.org/10.1016/j.disc.2022.112832

Rusnak, L. J., Tesic, J., & Tomasso, M. (2022). Advances in scaling community discovery methods for signed graph networks. Journal of Complex Networks, 10(3). https://doi.org/https://doi.org/10.1093/comnet/cnac013

Tomasso, M. E., Rusnak, L. J., & Tesic, J. (2022). Cluster Boosting and Data Discovery in Social Networks. In SAC ’22: Proceedings of the 37th ACM/SIGAPP Symposium on Applied Computing. Association for Computing Machinery. https://doi.org/10.1145/3477314.3507243

Tomasso, M. E., Rusnak, L. J., & Tesic, J. (2022). Cluster boosting and data discovery in social networks. In Proceedings of the 37th ACM/SIGAPP Symposium on Applied Computing (pp. 1801–1803). New York, NY, USA: Association for Computing Machinery. https://doi.org/10.1145/3477314.3507243

Rusnak, L. J., Grilliette, W. B., & Reynes, J. (2022). Incidence Hypergraphs: Injectivity, Uniformity, and Matrix-tree Theorems. Linear Algebra and Its Applications, 634, 77–105. https://doi.org/https://doi.org/10.1016/j.laa.2021.10.023

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

Alabandi, G. A. H., Tesic, J., Rusnak, L. J., & Burtscher, M. (2021). Discovering and balancing fundamental cycles in large signed graphs. In Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (pp. 1–17). ACM. https://doi.org/10.1145/3458817.3476153

Rusnak, L. J., Burtscher, M., Tesic, J., & Alabandi, G. (2021). Discovering and Balancing Fundamental Cycles in Large Signed Graphs. In Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis. Association for Computing Machinery. https://doi.org/10.1145/3458817.3476153

Rusnak, L. J., Reynes, J. E. A., Johnson, S., & Ye, P. (2021). Generalizing Kirchhoff Laws for Signed Graphs. Australasian Journal of Combinatorics, 81(3), 388–411. Retrieved from https://ajc.maths.uq.edu.au/pdf/81/ajc_v81_p388.pdf

Rusnak, L. J., & Tesic, J. (2021). Characterizing Attitudinal Network Graphs through Frustration Cloud. Data Mining and Knowledge Discovery, 35, 2498–2539. https://doi.org/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., Chen, V., Rao, A., & Yang, A. (2015). A characterization of oriented hypergraphic balance via signed weak-walks. Linear Algebra and Its Applications, 485, 442–453. https://doi.org/https://doi.org/10.1016/j.laa.2015.08.001

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

Reff, N., & Rusnak, L. J. (2012). An oriented hypergraphic approach to algebraic graph theory. Linear Algebra and Its Applications, 437(9), 2262–2270. https://doi.org/https://doi.org/10.1016/j.laa.2012.06.011

Rusnak, L. J. (2010). Oriented Hypergraphs. ProQuest/UMI Dissertation Publishing. Retrieved from http://gradworks.umi.com/34/09/3409134.html