Choose a numbered point to jump to its citation. Overlapping subject areas indicate thematic connections; placement is a conceptual guide, not a measured similarity score.
Browse publications by topic
Discrete geometry
Permutations
Quasirandomness
59, 55, 49, 26, 20, 16, 10, 5, 2
Spectral graph theory
67, 64, 63, 61, 59, 50, 41, 30, 22
Spectral hypergraph theory
65, 64, 63, 62, 61, 58, 57, 53, 51, 49, 46, 43, 38, 33, 23
Extremal combinatorics
68, 67, 65, 53, 50, 31, 28, 22, 21, 20
Poset theory
Pressing sequences
Combinatorial matrix theory
Machine learning
Deterministic walks
29, 19, 18, 15, 14, 13, 11, 9, 7
Combinatorics on words
Universal cycles
Coding theory
Combinatorial number theory
56, 52, 41, 31, 27, 25, 12, 8, 5
Other writing
Publication list
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2026
68. Multigraphs with a unique partition into cycles
J. Cooper, U. Okur. Discussiones Mathematicae Graph Theory 46(3) (2026). Published article.
Journal article · arXiv · Back to map
2025
67. Distance Critical Graphs
J. Cooper, G. Tauscheck. Graphs and Combinatorics 41, article 87 (2025).
Journal article · arXiv · Back to map
66. Permutations minimizing the number of collinear triples
J. Cooper, J. Hyatt. Designs, Codes and Cryptography 93 (2025), 3135–3142.
Journal article · arXiv · Back to map
2024
65. Principal eigenvectors and principal ratios in hypergraph Turán problems
J. Cooper, D. N. Desai, A. Sahay. Electronic Journal of Linear Algebra 40 (2024), 697–713.
Journal article · arXiv · Back to map
64. A generalization of the Graham-Pollak tree theorem to even-order Steiner distance
J. Cooper, G. Tauscheck. Special Matrices 12(1) (2024), article 20240018.
Journal article · arXiv · Back to map
63. Note on the spectra of Steiner distance hypermatrices
J. Cooper, Z. Du. Electronic Journal of Combinatorics 31(3) (2024), P3.7.
Journal article · arXiv · Back to map
62. Polynomial reconstruction problem for hypergraphs
J. Cooper, U. Okur. Linear Algebra and its Applications 692 (2024), 37–61.
Journal article · arXiv · Back to map
61. A generalization of the Graham-Pollak tree theorem to Steiner distance
J. Cooper, G. Tauscheck. Discrete Mathematics 347(4) (2024), article 113849.
Journal article · arXiv · Back to map
60. Positive-Definite Matrices over Finite Fields
J. Cooper, E. Hanna, H. Whitlatch. Rocky Mountain Journal of Mathematics 54(2) (2024), 423–438.
Journal article · arXiv · Back to map
2023
59. Characteristic power series of graph limits
J. N. Cooper. European Journal of Combinatorics 108 (2023), article 103629.
Journal article · arXiv · Back to map
2022
58. Geometric vs algebraic nullity for hyperpaths
J. Cooper, G. Fickes. Pure and Applied Mathematics Quarterly 18(6) (2022), 2433–2460.
Journal article · arXiv · Back to map
57. Applications of the Harary-Sachs theorem for hypergraphs
G. J. Clark, J. N. Cooper. Linear Algebra and its Applications 649 (2022), 354–374.
Journal article · arXiv · Back to map
56. Recurrence ranks and moment sequences
J. Cooper, G. Fickes. In Number Theory and Combinatorics: A Collection in Honor of the Mathematics of Ronald Graham, De Gruyter (2022). Book chapter; also published in Integers (2021), entry 52.
Book chapter · arXiv · Back to map
55. Sampling Permutations for Shapley Value Estimation
R. Mitchell, J. Cooper, E. Frank, G. Holmes. Journal of Machine Learning Research 23(43) (2022), 1–46.
Journal article · arXiv · Back to map
2021
54. Radar based navigation for Autonomous Surface Vehicles
I. J. Salman, J. A. Baum, H. J. Damron, J. Y. Nelson, A. K. Smith, M. Xanthidis, J. Cooper, I. Rekleitis. Radar Perception for All-Weather Autonomy, workshop at the IEEE International Conference on Robotics and Automation (ICRA), 2021. Workshop paper.
53. Spectral Extremal Results for Hypergraphs
Y. Hou, A. Chang, J. Cooper. Electronic Journal of Combinatorics 28(3) (2021), P3.46.
Journal article · arXiv · Back to map
52. Recurrence Ranks and Moment Sequences
J. Cooper, G. Fickes. Integers 21A (2021), A9. Also published as a book chapter (2022), entry 56.
Journal article · arXiv · Back to map
51. A Harary-Sachs theorem for hypergraphs
G. J. Clark, J. N. Cooper. Journal of Combinatorial Theory, Series B 149 (2021), 1–15.
Journal article · arXiv · Back to map
50. Constraints on Brouwer’s Laplacian spectrum conjecture
J. N. Cooper. Linear Algebra and its Applications 615 (2021), 11–27.
Journal article · arXiv · Back to map
2020
49. Adjacency spectra of random and complete hypergraphs
J. N. Cooper. Linear Algebra and its Applications 596 (2020), 184–202.
Journal article · arXiv · Back to map
48. Stably computing the multiplicity of known roots given leading coefficients
G. J. Clark, J. N. Cooper. Numerical Linear Algebra with Applications 27(2) (2020), e2275.
Journal article · arXiv · Back to map
47. A New Characterization of V-Posets
J. Cooper, P. Gartland, H. Whitlatch. Order 37(2) (2020), 371–387.
Journal article · arXiv · Back to map
2019
46. Adjacency Spectral Theory for Uniform Hypergraphs
G. J. Clark, J. N. Cooper. IMAGE, Bulletin of the International Linear Algebra Society 62 (Spring 2019), 7–19. Survey article.
Published survey · Back to map
45. Uniquely pressable graphs: Characterization, enumeration, and recognition
J. N. Cooper, H. W. Whitlatch. Advances in Applied Mathematics 103 (2019), 13–42.
Journal article · arXiv · Back to map
44. Machine Learning to Quantitate Neutrophil NETosis
L. Elsherif, N. Sciaky, C. A. Metts, M. Modasshir, I. Rekleitis, C. A. Burris, J. A. Walker, N. Ramadan, T. M. Leisner, S. P. Holly, M. Cowles, K. I. Ataga, J. N. Cooper, L. V. Parise. Scientific Reports 9 (2019), article 16891.
2018
43. On the Adjacency Spectra of Hypertrees
G. J. Clark, J. N. Cooper. Electronic Journal of Combinatorics 25(2) (2018), P2.48.
Journal article · arXiv · Back to map
42. Connections in Discrete Mathematics: A Celebration of the Work of Ron Graham
S. Butler, J. Cooper, G. Hurlbert (editors). Cambridge University Press (2018). Edited volume.
41. Graham’s Tree Reconstruction Conjecture and a Waring-Type Problem on Partitions
J. N. Cooper, B. Kay, A. Swifton. Journal of Combinatorics 9(3) (2018), 469–488.
40. Density dichotomy in random words
J. N. Cooper, D. Rorabaugh. Contributions to Discrete Mathematics 13(1) (2018), 120–135.
Journal article · arXiv · Back to map
2017
39. Throwing a Ball as Far as Possible, Revisited
J. N. Cooper, A. Swifton. The American Mathematical Monthly 124(10) (2017), 955–959.
Journal article · arXiv · Back to map
38. Analytic connectivity of k-uniform hypergraphs
A. Chang, J. N. Cooper, W. Li. Linear and Multilinear Algebra 65(6) (2017), 1247–1258.
Journal article · arXiv · Back to map
2016
69. Calculus Problems
J. N. Cooper. Journal of Humanistic Mathematics 6(2) (2016), 228. Poem.
37. Quantitation of Suicidal Netosis Using Convolutional Neural Networks in Human Neutrophils
Laila Elsherif, Carrington A. Metts, Noah Sciaky, Joshua N. Cooper, Stephen P. Holly, and Leslie V. Parise. Blood 128(22) (2016), abstract 3686. Published meeting abstract.
Published abstract · Back to map
36. Asymptotic Density of Zimin Words
J. Cooper, D. Rorabaugh. Discrete Mathematics & Theoretical Computer Science 18(3) (2016), article 3.
Journal article · arXiv · Back to map
35. Successful pressing sequences for a bicolored graph and binary matrices
J. N. Cooper, J. Davis. Linear Algebra and its Applications 490 (2016), 162–173.
Journal article · arXiv · Back to map
34. The complexity of counting poset and permutation patterns
J. N. Cooper, A. Kirkpatrick. Australasian Journal of Combinatorics 64(1) (2016), 154–165.
Journal article · arXiv · Back to map
2015
33. Computing hypermatrix spectra with the Poisson product formula
J. N. Cooper, A. Dutle. Linear and Multilinear Algebra 63(5) (2015), 956–970.
Journal article · arXiv · Back to map
2014
32. Bounds on Zimin word avoidance
J. N. Cooper, D. Rorabaugh. Congressus Numerantium 222 (2014), 87–95.
Journal issue · arXiv · Back to map
31. Colorings of Pythagorean triples within colorings of the positive integers
J. Cooper, M. Filaseta, J. Harrington, D. White. Journal of Combinatorial Number Theory 6(1) (2014).
Author’s manuscript · Back to map
30. Note on the spectral radius of alternating sign matrices
R. A. Brualdi, J. N. Cooper. Linear Algebra and its Applications 442 (2014), 99–105.
29. Deterministic walks with choice
P. S. Barr, K. E. Beeler, K. S. Berenhaut, J. N. Cooper, M. N. Hunter. Discrete Applied Mathematics 162 (2014), 100–107.
28. Critical sets for Sudoku and general graph colorings
J. N. Cooper, A. E. Kirkpatrick. Discrete Mathematics 315–316 (2014), 112–119.
Journal article · arXiv · Back to map
2013
70. Bioterrorism and the Fermi Paradox
J. N. Cooper. International Journal of Astrobiology 12(2) (2013), 144–148.
27. On the Reciprocal of the Binary Generating Function for the Sum of Divisors
J. N. Cooper, A. Riasanovsky. Journal of Integer Sequences 16 (2013), article 13.1.8.
Journal article · arXiv · Back to map
26. Generalized Pattern Frequency in Large Permutations
J. N. Cooper, E. Lundberg, B. Nagle. Electronic Journal of Combinatorics 20(1) (2013), P1.28.
25. Greedy Galois Games
J. N. Cooper, A. Dutle. The American Mathematical Monthly 120(5) (2013), 441–451.
Journal article · arXiv · Back to map
24. Generalized Fibonacci recurrences and the lex-least de Bruijn sequence
J. N. Cooper, C. Heitsch. Advances in Applied Mathematics 50(4) (2013), 465–473.
Journal article · arXiv · Back to map
2012
23. Spectra of uniform hypergraphs
J. N. Cooper, A. Dutle. Linear Algebra and its Applications 436(9) (2012), 3268–3292.
Journal article · arXiv · Back to map
22. Uniquely C4-Saturated Graphs
J. N. Cooper, J. Lenz, T. D. LeSaulnier, P. S. Wenger, D. B. West. Graphs and Combinatorics 28(2) (2012), 189–197.
2011
21. Monochromatic Boxes in Colored Grids
J. N. Cooper, S. Fenner, S. Purewal. SIAM Journal on Discrete Mathematics 25(3) (2011), 1054–1068.
Journal article · arXiv · Back to map
20. Graphs with Asymptotically Invariant Degree Sequences under Restriction
J. N. Cooper, L. Lu. Internet Mathematics 7(1) (2011), 67–80.
2010
19. Linearly bounded liars, adaptive covering codes, and deterministic random walks
J. N. Cooper, R. Ellis. Journal of Combinatorics 1(3–4) (2010), 307–334.
Journal article · arXiv · Back to map
18. Deterministic random walks on regular trees
J. N. Cooper, B. Doerr, T. Friedrich, J. Spencer. Random Structures & Algorithms 37(3) (2010), 353–366. Journal version of entries 15 and 14.
Journal article · arXiv · Back to map
17. Iterated Point-Line Configurations Grow Doubly-Exponentially
J. N. Cooper, M. Walters. Discrete & Computational Geometry 43(3) (2010), 554–562.
Journal article · arXiv · Back to map
16. The discrepancy of the lex-least de Bruijn sequence
J. N. Cooper, C. Heitsch. Discrete Mathematics 310(6–7) (2010), 1152–1159.
Journal article · arXiv · Back to map
2008
15. Deterministic Random Walks on Regular Trees
J. N. Cooper, B. Doerr, T. Friedrich, J. Spencer. Proceedings of the ACM-SIAM Symposium on Discrete Algorithms (SODA 2008), 766–772. Conference version; journal version in entry 18.
arXiv (journal version) · Conference paper · Back to map
2007
14. Deterministic Random Walks on Regular Trees
J. N. Cooper, B. Doerr, T. Friedrich, J. Spencer. Electronic Notes in Discrete Mathematics 29 (2007), 509–513. Extended abstract; journal version in entry 18.
Published proceedings · arXiv (journal version) · Back to map
13. Deterministic random walks on the integers
J. N. Cooper, B. Doerr, J. Spencer, G. Tardos. European Journal of Combinatorics 28(8) (2007), 2072–2090.
Journal article · arXiv · Back to map
2006
12. Reciprocals of Binary Power Series
J. N. Cooper, D. Eichhorn, K. O’Bryant. International Journal of Number Theory 2(4) (2006), 499–522.
Journal article · arXiv · Back to map
11. Deterministic Random Walks
J. N. Cooper, B. Doerr, J. Spencer, G. Tardos. Proceedings of the Workshop on Analytic Algorithmics and Combinatorics (ANALCO 2006), 185–197. Conference paper.
Published proceedings · arXiv (journal version) · Back to map
10. A Permutation Regularity Lemma
J. N. Cooper. Electronic Journal of Combinatorics 13 (2006), R22.
Journal article · arXiv · Back to map
9. Simulating a Random Walk with Constant Error
J. N. Cooper and J. Spencer. Combinatorics, Probability and Computing 15(6) (2006), 815–822.
Journal article · arXiv · Back to map
8. Continued fractions with partial quotients bounded in average
J. N. Cooper. The Fibonacci Quarterly 44(4) (2006), 297–301.
Journal article · arXiv · Back to map
2005
7. Deterministic Random Walks on the Integers
J. N. Cooper, B. Doerr, J. Spencer, G. Tardos. EuroComb 2005, Discrete Mathematics & Theoretical Computer Science Proceedings AE (2005), 73–76. Conference version of entry 13.
Published proceedings · arXiv (journal version) · Back to map
6. Collinear Points in Permutations
J. N. Cooper and J. Solymosi. Annals of Combinatorics 9(2) (2005), 169–175.
Journal article · arXiv · Back to map
5. Quasirandom arithmetic permutations
J. N. Cooper. Journal of Number Theory 114(1) (2005), 153–169.
Journal article · arXiv · Back to map
2004
4. Generalized de Bruijn Cycles
J. N. Cooper and R. L. Graham. Annals of Combinatorics 8(1) (2004), 13–25.
Journal article · arXiv · Back to map
3. De Bruijn cycles for covering codes
F. Chung and J. N. Cooper. Random Structures & Algorithms 25(4) (2004), 421–431.
Journal article · arXiv · Back to map
2. Quasirandom permutations
J. N. Cooper. Journal of Combinatorial Theory, Series A 106(1) (2004), 123–143.
Journal article · arXiv · Back to map
2002
71. A Student at the Board Meeting
J. N. Cooper. FOCUS, Newsletter of the Mathematical Association of America 22(3) (March 2002). Newsletter article.
1. Asymmetric Binary Covering Codes
J. N. Cooper, R. B. Ellis, A. B. Kahng. Journal of Combinatorial Theory, Series A 100(2) (2002), 232–249.
