Amarra, Maria Carmen
Associate Professor
Research Interests
Algebraic combinatorics, in particular symmetries of graphs and block designs.
Algebraic combinatorics, in particular symmetries of graphs and block designs.
Academic Groups
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Education
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Ph.D. Mathematics (2013)
The University of Western AustraliaDissertation: Symmetric graphs of diameter two
Adviser: Cheryl E. Praeger and Michael Giudici -
M.S. Mathematics (2006)
University of the Philippines DilimanThesis: \((1-u)\)-constacyclic codes over \(\mathbb{F}_{p^k} + u \mathbb{F}_{p^k}\)
Adviser: Fidel R. Nemenzo -
B.S. Mathematics (2002), cum laude
University of the Philippines Diliman
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Ph.D. Mathematics (2013)
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Postdoctoral Fellowships
- Centre for the Mathematics of Symmetry and Computation, The University of Western Australia (2018)
- Centre for the Mathematics of Symmetry and Computation, The University of Western Australia (2022)
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Publications
- Chain-imprimitive, flag-transitive 2-designs (with A. Devillers and C.E. Praeger), in preparation.
- On locally \(n \times n\) grid graphs (with W. Jin and C.E. Praeger), in preparation.
- Block-transitive 2-designs with a chain of imprimitive partitions (with A. Devillers and C.E. Praeger), Journal of Combinatorial Theory Series A Vol. 205 (2024), 105866.
- Multiple contractions of permutation arrays (with D.V.A. Briones and M.J.C. Loquias), Journal of Algebraic Combinatorics Vol. 58 (2023), 695 – 715.
- Delandtsheer-Doyen parameters for block-transitive point-imprimitive 2-designs (with A. Devillers and C.E. Praeger), Designs, Codes and Cryptography Vol. 90 (2022), 2205 – 2221.
- Generalised shuffle groups (with L. Morgan and C.E. Praeger), Israel Journal of Mathematics Vol 244 (2021), 807 – 856.
- Quotient-complete arc-transitive latin square graphs from groups, Graphs and Combinatorics (2018) 34: 1651—1669.
- On the girth and diameter of generalized Johnson graphs (with L. Agong, J.S. Caughman, A.J. Herman, and T.S. Terada), Discrete Mathematics 341 (2018), 138—142.
- Affine primitive symmetric graphs with diameter two (with M. Giudici and C.E. Praeger), Ars Mathematica Contemporanea Vol. 13 No. 1 (2017), 137—165.
- Quotient-complete arc-transitive graphs (with M. Giudici and C.E. Praeger), European Journal of Combinatorics 33 (2012), 1857 – 1881.
- Symmetric diameter two graphs with affine-type vertex-quasiprimitive automorphism group (with M. Giudici and C.E. Praeger), Designs, Codes and Cryptography Special Issue on Finite Geometries, 68 (2013), 127 – 139.
- On \((1-u)\)-cyclic codes over \(\mathbb{F}_{p^k} + u \mathbb{F}_{p^k}\) (with F. Nemenzo), Applied Mathematics Letters 21 (2008), 1129 — 1133.