Sela Fried
Publications
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S. Fried and M. Shattuck, Counting s-Catalan Words According to Total Variation, Enumerative Combinatorics and Applications 6 (2), 2026.
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S. Fried, On the inverse of a certain triangular matrix and its connection to the largest odd divisor, Notes on Number Theory and Discrete Mathematics 32 (2), 2026.
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S. Fried, Proofs of ten conjectures from the OEIS, Journal of Integer Sequences 29 (1), 2026.
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S. Fried, T. Mansour, and M. Shattuck, Counting k-ary words by number of adjacency differences of a prescribed size, Journal of Combinatorics 17 (2), 2026.
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S. Fried, Cyclic up-down words, Osječki matematički list 26 (1), 2026.
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S. Fried, On a conjecture of McNeil, to appear in Mathematical Communications, 2025.
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S. Fried and M. Shattuck, Counting adjacencies with difference at most one in k-ary words, Ars Combinatoria 164, 2025.
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S. Fried, Proofs of several conjectures from the OEIS, Journal of Integer Sequences 28 (4), 2025.
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S. Fried, Solving the Tower of Hanoi with heavy disks, American Mathematical Monthly 132 (8), 2025.
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S. Fried and T. Mansour, Random walk labelings of perfect trees and other graphs, Quaestiones Mathematicae 48 (6), 2025.
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S. Fried and T. Mansour, Counting r × s rectangles in (Catalan) words, Discrete Applied Mathematics 365, 2025.
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S. Fried, Counting rectangles of size r × s in nondecreasing and Smirnov words, Journal of Integer Sequences 27 (8), 2024.
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S. Fried and T. Mansour, On the maximal sum of the entries of a matrix power, Art of Discrete and Applied Mathematics 7 (3), 2024.
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S. Fried and T. Mansour, Further results on random walk labelings, Discrete Applied Mathematics 353, 2024.
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S. Fried, Problem, to appear in the College Mathematics Journal, March, 2026.
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S. Fried and T. Mansour, The total number of descents and levels in (cyclic) tensor words, Discrete Mathematics Letters 13, 2024.
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S. Fried and T. Mansour, Staircase graph words, FILOMAT, 38 (18) 2024.
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S. Fried and T. Mansour, Graph labelings obtainable by random walks, Art of Discrete and Applied Mathematics 7 (1), 2024.
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S. Fried, 12497, American Mathematical Monthly 131 (10), 2024.
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S. Fried and D. Haran, Θ-Hilbertianity and strong Θ-Hilbertianity, Israel Journal of Mathematics 257 (1), 2023.
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S. Fried, On the α-lazy version of Markov chains in estimation and testing problems, Statistical Inference for Stochastic Processes 26 (2), 2023.
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S. Fried, The minimal sum of squares over partitions with a nonnegative rank, Annals of Combinatorics 27, 2023.
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S. Fried, The expected degree of noninvertibility of compositions of functions, Journal of Integer Sequences 25 (8), 2022.
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S. Fried and G. Wolfer, Identity testing of reversible Markov chains, Int. Conf. on Artificial Intelligence and Statistics (AISTATS), 2022.
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S. Fried, On the coefficients of the distinct monomials in the expansion of $x_1(x_1 + x_2)\cdots(x_1 + x_2 + \cdots + x_n)$, Journal of Integer Sequences 25 (4), 2022.
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S. Fried, The restrictiveness of the hazard rate order and the moments of the maximal coordinate of a random vector uniformly distributed on the probability $n$-simplex, Statistics & Probability Letters 185, 2022.
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S. Fried, On the restrictiveness of the usual stochastic order and the likelihood ratio order, Statistics & Probability Letters 170, 2021.
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S. Fried and D. Haran, Θ-Hilbertianity, Journal of Algebra 555, 2020.
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S. Fried and D. Haran, Quasi-formations, Israel Journal of Mathematics 229 (1), 2019.
Preprints
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S. Fried, Black-white cell capacity in k-ary words and permutations, 2025.
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S. Fried, A formula for the number of up-down words, 2025.
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S. Fried, Further results on staircase graph words, 2025.
Miscellaneous
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I regularly contribute to the On-Line Encyclopedia of Integer Sequences and as of 7/1/26 I am an associate editor.
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The beauty of Beatty sequences - Part II, 2023. (~50 MB)