Papers & Talks

Publications, preprints, and conference presentations.

1. Peer-Reviewed Journal Articles
2. Submitted Papers and Preprints
3. Drafts in Preparation
4. Presentations

Peer-Reviewed Journal Articles

1. N. Johnston, S. Plosker, C. Torrance, and L. M. B. Varona. Generalizing the Cauchy–Schwarz inequality: Hadamard powers and tensor products. Linear and Multilinear Algebra, 2026. doi:10.1080/03081087.2026.2707240

2. L. M. B. Varona. MatrixBandwidth.jl: Fast algorithms for matrix bandwidth minimization and recognition. Journal of Open Source Software, 2025. doi:10.21105/joss.09136

Submitted Papers and Preprints

1. N. Johnston, S. Plosker, and L. M. B. Varona. Enumeration of Laplacian integral and \(\{-1,0,1\}\)-diagonalizable graphs. E-print: arXiv:2607.06336 [math.CO], 2026.

2. L. M. B. Varona. A polynomial-time algorithm for recognizing high-bandwidth graphs. E-print: arXiv:2602.01755 [cs.DS], 2026.

3. F. A. Steinke and L. M. B. Varona. Efficient spectral bounds on the chromatic number of Hamming, Johnson, and Kneser graph powers. E-print: arXiv:2601.01962 [math.CO], 2026.

Drafts in Preparation

1. C. Brett and L. M. B. Varona. Unilateral link formation in degree-constrained communication networks (working title).

2. L. M. B. Varona and W. A. Hunt. Indispensable: The digital capitalist class and Gramscian conditions of revolution (working title).

3. C. Brett and L. M. B. Varona. The effects of changes in effective prices of services on municipal tax rates: Evidence from New Brunswick (working title).

Presentations

1. Design and Optimization of Degree-Constrained Social Networks. 2026 Science Atlantic Math., Stats., & CS Conference, University of New Brunswick Saint John (Saint John, NB). October 2026. (Joint work with C. Brett.) [PDF] [source code]

2. Numerical Mode-Finding in Layered Media via Banded RRQR. 61^st Canadian Undergrad. Physics Conference, McMaster University (Hamilton, ON). October 2026. [PDF] [source code]

3. Heuristic Bandwidth Reduction Algorithms for Weighted Graphs. 19^th East Coast Combinatorics Conference, Mount Allison University (Sackville, NB). July 2026. (Joint work with A. Matheson.) [PDF] [source code]

4. Spectral Heuristics for \(k\)-Incoherent Decompositions. 2026 Atlantic Undergrad. Physics & Astro. Conference, University of Prince Edward Island (Charlottetown, PE). March 2026. [PDF] [source code]

5. Advancements in Graph Bandwidth Reduction. 2025 Science Atlantic Math., Stats., & CS Conference, Cape Breton University (Sydney, NS). October 2025. (Joint work with N. Johnston.) 2nd Place Undergraduate Research Award for Computer Science. [PDF] [source code]

6. \(S\)-Bandwidth as an Indicator of PST on Quantum Networks. 2025 Atlantic Undergrad. Physics & Astro. Conference, Memorial University of Newfoundland (St. John’s, NL). February 2025. (Joint work with N. Johnston and S. Plosker.) [PDF] [source code]

7. Computing the \(S\)-Bandwidth of a Quantum Network. 2024 Science Atlantic Math., Stats., & CS Conference, Acadia University (Wolfville, NS). October 2024. (Joint work with N. Johnston and S. Plosker.) [PDF] [source code]