Papers
17) Self-modified difference ascent sequences (under review),
with A. Claesson, B.E. Sagan.
16) Pattern-avoiding Cayley permutations via combinatorial species (under review),
with A. Claesson, D.C. Ernst, H. Golab.
15) Modified difference ascent sequences and Fishburn structures (under review),
with A. Claesson, B.E. Sagan.
14) Pattern-avoiding modified ascent sequences (under review).
13) Caylerian polynomials,
with A. Claesson, Discrete Mathematics, Vol. 347(12), 2024.
12) On a conjecture on pattern-avoiding machines,
with C. Bao, Y. Choi, K. Gan, O. Zhang, Annals of Combinatorics 2024.
11) Modified ascent sequences and Bell numbers (under review).
10) Fishburn trees,
with A. Claesson, Advances in Applied Mathematics, Vol. 151, 2023.
9) Dynamical aspects of sigma-machines,
Discrete Mathematics, Vol. 346(9), 2023.
8) Sorting Cayley permutations with pattern-avoiding machines,
Australasian Journal of Combinatorics, Vol. 80(3), 2021.
7) Transport of patterns by Burge transpose,
with A. Claesson, European Journal of Combinatorics, Vol. 108, 2023.
6) Catalan and Schroder permutations sorted by two restricted stacks,
with J.-L. Baril, C. Khalil, V. Vajnovszki, Information Processing Letters, Vol. 171, 2021.
5) Sorting with pattern-avoiding stacks: the 132-machine,
with A. Claesson, L. Ferrari, E. Steingrimsson, The Electronic Journal of Combinatorics, Vol. 27(3), 2020.
4) Stack sorting with restricted stacks,
with A. Claesson, L. Ferrari, Journal of Combinatorial Theory, Series A, Vol. 173, 2020.
3) Permutation patterns in genome rearrangement problems: the reversal model,
with L. Ferrari, Discrete Applied Mathematics, Vol. 279, 2020.
2) Stack sorting with increasing and decreasing stacks,
with L. Cioni, L. Ferrari, The Electronic Journal of Combinatorics, Vol. 27(1), 2020.
1) Permutation patterns in genome rearrangement problems,
with L. Ferrari, Proc. of the 11th international conference on random and exhaustive generation of combinatorial structures (GASCom2018), CEUR-WS. Vol-2113, 2018. [slides]
Proceedings
3) Sorting permutations with pattern-avoiding stacks,
G Cerbai, A. Claesson, L. Ferrari, E. Steingrímsson, Local Proceedings of Permutation Patterns 2019, pp. 47–49, Mathilde Bouvel, Zurich, CH, 17-21 June, 2019. [slides]
2) Stack sorting with increasing and decreasing stacks,
G. Cerbai, L. Ferrari, Local Proceedings of Permutation Patterns 2018, pp. 82-87, Jay Pantone, Darthmouth College, Hanover, NH, USA, 9-13 July 2018. [slides]
1) Pattern avoiding permutations in genome rearrangement problems: the transposition model,
G. Cerbai, L. Ferrari, Local Proceedings of Permutation Patterns 2017. pp. 1-4, Reykjavik, Iceland, 26-30 June 2017. [slides]