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Higgins, Peter (2024) Production optimization for agents of differing work rates. The ANZIAM Journal, 66 (2). pp. 98-120. DOI https://doi.org/10.1017/S1446181124000142

Higgins, Peter M (2024) Finite regular semigroups with permutations that map elements to inverses. Semigroup Forum, 109 (1). pp. 141-147. DOI https://doi.org/10.1007/s00233-024-10430-0

Higgins, Peter (2024) The Biker-hiker problem. Journal of Combinatorics, 15 (1). pp. 105-134. DOI https://doi.org/10.4310/JOC.2024.v15.n1.a6

Higgins, Peter and Jackson, Marcel (2023) Equationally defined classes of semigroups. Semigroup Forum, 107 (2). pp. 459-477. DOI https://doi.org/10.1007/s00233-023-10397-4

Higgins, Peter (2023) Limiting behaviour of pairs with equal images for polynomial functions. College Mathematics Journal, 54 (4). pp. 391-393. DOI https://doi.org/10.1080/07468342.2023.2237854

Higgins, Peter and Vernitski, Alexei (2022) Orientation-preserving and orientation-reversing mappings: a new description. Semigroup Forum, 104 (2). pp. 509-514. DOI https://doi.org/10.1007/s00233-022-10256-8

Higgins, Peter and Jackson, Marcel (2020) Algebras defined by equations. Journal of Algebra, 555. pp. 131-156. DOI https://doi.org/10.1016/j.jalgebra.2020.01.029

East, James and Higgins, Peter M (2020) Green's relations and stability for subsemigroups. Semigroup Forum, 101 (1). pp. 77-86. DOI https://doi.org/10.1007/s00233-019-10039-8

Alam, Noor and Higgins, Peter M and Khan, Noor Mohammad (2020) Epimorphisms, dominions and H-commutative semigroups. Semigroup Forum, 100 (2). pp. 349-363. DOI https://doi.org/10.1007/s00233-019-10050-z

Higgins, Peter M (2019) Involution matchings, the semigroup of orientation-preserving and orientation-reversing mappings, and inverse covers of the full transformation semigroup. Semigroup Forum, 98 (3). pp. 669-689. DOI https://doi.org/10.1007/s00233-019-10018-z

Higgins, Peter M and Alwan, Suhear (2017) Languages with membership determined by single letter factors. Theoretical Computer Science, 680. pp. 15-24. DOI https://doi.org/10.1016/j.tcs.2017.04.005

Higgins, Peter M (2017) Orthodox semigroups and permutation matchings. Semigroup Forum, 94 (1). pp. 167-175. DOI https://doi.org/10.1007/s00233-016-9831-8

Higgins, Peter M (2017) Embedding in a Finite 2-Generator Semigroup. Glasgow Mathematical Journal, 59 (01). pp. 61-75. DOI https://doi.org/10.1017/S0017089516000045

Ahmad, I and Higgins, PM (2015) On the bandwidth of Mobius graphs. Bulletin of the Iranian Mathematical Society, 41 (3). pp. 545-550.

Catarino, P and Higgins, PM and Levi, I (2015) On inverse subsemigroups of the semigroup of orientation-preserving or orientation-reversing transformations. Algebra and Discrete Mathematics, 19 (2). pp. 162-171.

Higgins, Peter M (2014) Permutations of a semigroup that map to inverses. Semigroup Forum, 89 (1). pp. 169-182. DOI https://doi.org/10.1007/s00233-013-9535-2

Higgins, PM and Alwan, S (2013) Languages that require full scanning of words to determine membership. Journal of Automata Languages and Combinatorics, 18 (2). pp. 71-96.

Higgins, Peter M (2012) Burrows–Wheeler transformations and de Bruijn words. Theoretical Computer Science, 457. pp. 128-136. DOI https://doi.org/10.1016/j.tcs.2012.07.019

Higgins, Peter M (2012) The product of the idempotents and an $\mathcal{H}$ -class of the finite full transformation semigroup. Semigroup Forum, 84 (2). pp. 203-215. DOI https://doi.org/10.1007/s00233-012-9373-7

HIGGINS, PETER M (2011) THE LENGTH OF SHORT WORDS IN UNAVOIDABLE SETS. International Journal of Algebra and Computation, 21 (06). pp. 951-960. DOI https://doi.org/10.1142/s0218196711006522

Descalço, L and Higgins, PM (2010) Generalized Green'S Equivalences on the Subsemigroups of the Bicyclic Monoid. Communications in Algebra, 38 (12). pp. 4597-4612. DOI https://doi.org/10.1080/00927870903432918

Book

Higgins, PM (2008) Nets, puzzles and postmen, an exploration of mathematical connections. Oxford University Press. ISBN 9780199218424.

Higgins, PM (2008) Number Story, from Counting to Cryptography. Copernicus Press, Springer-Verlag. ISBN 9781848000001.