Papers/Preprints

  • "Strong external difference families in abelian and non-abelian groups ", S.Huczynska, C. Jefferson and S. Nepsinska, preprint (available on ArXiv).

  • "Characterising bimodal collections of sets in finite groups", S.Huczynska and M.B. Paterson, Archiv der Mathematik, 2019, 10 p.

  • "Weighted external difference families and R-optimal AMD codes", S.Huczynska and M.B. Paterson, Discrete Mathematics 342, 3 (2019), p.855-867.

  • "Existence and non-existence results for strong external difference families", S.Huczynska and M.B. Paterson, Discrete Mathematics. 341, 1 (2018) p. 87-95

  • "Near-complete external difference families", J.A. Davis, S. Huczynska, and G.L. Mullen, Designs, Codes and Cryptography. 84, 3, p. 415-424 (2017) 10 p.

  • "On well quasi-order of graph classes under homomorphic image orderings", S.Huczynska and N. Ruskuc, European Journal of Combinatorics. 63, p. 164-175 (2017) 12 p.

  • "Well quasi-order in combinatorics: embeddings and homomorphisms'', S.Huczynska and N. Ruskuc, Surveys in combinatorics 2015, 261–293, London Math. Soc. Lecture Note Ser., 424, Cambridge Univ. Press, Cambridge, 2015.

  • "Homomorphic image orders on combinatorial structures", S.Huczynska and N.Ruskuc, Order 32 (2015), 205–226.

  • "Beyond sum-free sets in the natural numbers", S. Huczynska, The Electronic Journal of Combinatorics, Volume 21, Issue 1 (2014), P1.21

  • "Existence and properties of k-normal elements over finite fields", S. Huczynska, G.L. Mullen, D. Panario and D. Thomson, Finite Fields and Their Applications 124 (2013), 170--183.

  • "The strong primitive normal basis theorem", S.D. Cohen and S. Huczynska, Acta Arithmetica 143 (2010), 299--332.

  • "Some Erdo"s-Ko-Rado theorems for injections", F. Brunk and S. Huczynska, European Journal of Combinatorics 31 (2010), 839--860.

  • "Equidistant frequency permutation arrays and related constant composition codes", S. Huczynska, Designs, Codes and Cryptography 54 (2010), 109--120.

  • "The extent to which subsets are additively closed", S. Huczynska, G.L. Mullen and J. Yucas, Journal of Combinatorial Theory, Series A, 116 (2009), 831--843.

  • "Decomposing simple permutations, with enumerative consequences", R. Brignall, S. Huczynska and V. Vatter, Combinatorica 28 (2008), 385--400.

  • "Simple permutations and algebraic generating functions", R. Brignall, S. Huczynska and V. Vatter, Journal of Combinatorial Theory, Series A, 115, 423--441.

  • "Pattern classes of permutations via bijections between linearly ordered sets", S. Huczynska and N. Ruskuc, European Journal of Combinatorics 29 (2008), 118--139.

  • "Powerline communication and the 36 officers problem", S. Huczynska, Phil. Trans. R. Soc. A, 364 (2006).

  • "Frequency permutation arrays", S. Huczynska and G.L. Mullen, Journal of Combinatorial Designs 14 (2006), 463--478.

  • "Grid classes and the Fibonacci dichotomy for restricted permutations", S. Huczynska and V. Vatter, The Electronic Journal of Combinatorics 13 (2006)

  • "Primitive free cubics with specified norm and trace", S. Huczynska and S.D. Cohen, Transactions of the American Mathematical Society 355 (2003), 3099--3116.

  • "Primitive free quartics with specified norm and trace", S.D. Cohen and S. Huczynska, Acta Arithmetica 109 (2003), 359--385.

  • "The Primitive Normal Basis Theorem- without a computer", S.D. Cohen and S. Huczynska, Journal of the London Mathematical Society, 67 (2003), 41--56 .
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