Currently browsing: Items authored or edited by Grahame Erskine https://orcid.org/0000-0001-7067-6004

Chojecki, Tymoteusz; Erskine, Grahame; Tuite, James and Ustimenko, Vasyl (2025). On affine forestry over integral domains and families of deep Jordan-Gauss graphs. European Journal of Mathematics, 11, article no. 10.

Dalfó, Cristina; Erskine, Grahame; Exoo, Geoffrey; Fiol, Miguel Àngel and Tuite, James (2024). On bipartite (1,1, k)-mixed graphs. The Art of Discrete and Applied Mathematics (Early access).

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Erskine, Grahame and Griggs, Terry S. (2024). Properties of Steiner triple systems of order 21. Discrete Mathematics, 347(11), article no. 114158.

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Dalfó, C.; Erskine, G.; Exoo, G.; Fiol, M.A.; López, N.; Messegué, A. and Tuite, J. (2024). On large regular ( 1 , 1 , k ) -mixed graphs. Discrete Applied Mathematics, 356 pp. 209–228.

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Erskine, Grahame and Tuite, James (2023). Small Graphs and Hypergraphs of Given Degree and Girth. The Electronic Journal of Combinatorics, 30(1), article no. P1.57.

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Thankachy, Maya; Chandran, Ullas; Tuite, James; Thomas, Elias; Di Stefano, Gabriele and Erskine, Grahame (2023). On the vertex position number of graphs. Discussiones Mathematicae Graph Theory, 44(3) pp. 1169–1188.

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Tuite, James; Erskine, Grahame and Salia, Nika (2023). Turán Problems for k -Geodetic Digraphs. Graphs and Combinatorics, 39(2), article no. 25.

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Erskine, Grahame and Griggs, Terry (2022). Good point sequencings of Steiner triple systems. Australasian Journal of Combinatorics, 84(3) pp. 431–439.

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Erskine, Grahame; Griggs, Terry and Širáň, Jozef (2022). Clique-partitioned graphs. Discrete Applied Mathematics, 314 pp. 238–248.

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Erskine, Grahame; Griggs, Terry and Širáň, Jozef (2022). Fragments in symmetric configurations with block size 3. Acta Mathematica Universitatis Comenianae, 91(2) pp. 101–111.

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Tuite, James and Erskine, Grahame (2022). On Networks with Order Close to the Moore Bound. Graphs and Combinatorics, 38(5), article no. 143.

Erskine, Grahame; Griggs, Terry and Širáň, Jozef (2021). Colouring problems for symmetric configurations with block size 3. Journal of Combinatorial Designs, 29(6) pp. 397–423.

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Erskine, Grahame; Fratrič, Peter and Širáň, Jozef (2021). Graphs derived from perfect difference sets. Australasian Journal of Combinatorics, 80(1) pp. 48–56.

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Tuite, James and Erskine, Grahame (2021). New Bounds on k-Geodetic Digraphs and Mixed Graphs. In: Extended Abstracts EuroComb 2021 (Nešetřil, Jaroslav; Perarnau, Guillem; Rué, Juanjo and Serra, Oriol eds.), pp. 778–783.

Erskine, Grahame; Hriňáková, Katarína and Reade, Olivia (2020). Self-dual, self-Petrie-dual and Möbius regular maps on linear fractional groups. The Art of Discrete and Applied Mathematics, 3(1), article no. 3.

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Erskine, Grahame; Griggs, Terry and Širáň, Jozef (2020). On the upper embedding of symmetric configurations with block size 3. Discrete Mathematics, 343(4), article no. 111774.

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Erskine, Grahame; Hriňáková, Katarína and Širáň, Jozef (2020). Orientably-regular maps on twisted linear fractional groups. In: Jones, Gareth A; Ponomarenko, Ilya and Širáň, Jozef eds. Isomorphisms, Symmetry and Computations in Algebraic Graph Theory. PROMS, 305. Springer, Cham, pp. 1–35.

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Tuite, James and Erskine, Grahame (2019). On Total Regularity of Mixed Graphs with Order Close to the Moore Bound. Graphs and Combinatorics, 35 pp. 1253–1272.

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Erskine, Grahame and Tuite, James (2018). Large Cayley graphs of small diameter. Discrete Applied Mathematics, 250 pp. 202–214.

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Anabanti, Chimere S.; Erskine, Grahame and Hart, Sarah B. (2018). Groups whose locally maximal product-free sets are complete. Australasian Journal of Combinatorics, 71(3) pp. 544–563.

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Erskine, Grahame (2017). Mixed Moore Cayley Graphs. Journal of Interconnection Networks, 17(03n04), article no. 1741010.

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Erskine, Grahame (2017). Diameter, Girth And Other Properties Of Highly Symmetric Graphs. Doctor of Philosophy (PhD) thesis The Open University.

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Bevan, David; Erskine, Grahame and Lewis, Robert (2017). Large circulant graphs of fixed diameter and arbitrary degree. Ars Mathematica Contemporanea, 13(2) pp. 275–291.

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Buset, Dominique; El Amiri, Mourad; Erskine, Grahame; Miller, Mirka and Pérez-Rosés, Hebert (2016). A revised Moore bound for mixed graphs. Discrete Mathematics, 339(8) pp. 2066–2069.

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Erskine, Grahame (2015). Diameter 2 Cayley graphs of dihedral groups. Discrete Mathematics, 338(6) pp. 1022–1024.

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