Publications

Ateneo Aperiodic Systems Lab

G.B. Escolano, E.D. Miro, and N. Manibo, Mixing Properties and Entropy Bounds of a Family of Pisot Random Substitutions, submitted (2021), arXiv: https://arxiv.org/abs/2103.04866

E.D. Miro, D. Rust, L. Sadun, and G. S. Tadeo, Topological Mixing of Random Substitutions, Israel Journal of Mathematics, in press (2021), https://arxiv.org/abs/2103.02361.

N. Manibo, E.D. Miro, D. Rust, and G. S. Tadeo, Zeckendorf representations and mixing properties of sequences, Tsukuba Journal of Mathematics, 44(2), 251-269 (2020). https://arxiv.org/abs/1912.01573.

J. Palacio, M. L. B. Walo, and E.D. Miro, Some properties of quasiperiodic subshifts, AIP Conference Proceedings 2192, 040009 (2019).

F. Gähler and E.D. Miro, Topology of the Random Fibonacci Tiling Space. Acta Physica Polonica A 126, 564-567 (2014). https://arxiv.org/abs/1312.4897. https://archium.ateneo.edu/mathematics-faculty-pubs/19/

Ateneo Applied Mathematics Research Lab

Timothy Robin Y. Teng, Elvira P. De Lara-Tuprio, and Jay Michael R. Macalalag, An HIV/AIDS epidemic model with media coverage, vertical transmission and time delays. AIP Conference Proceedings 2192, 060021 (2019); https://doi.org/10.1063/1.5139167. https://archium.ateneo.edu/mathematics-faculty-pubs/74/

Jay Michael R. Macalalag, Elvira P. De Lara-Tuprio, Timothy Robin Y. Teng. A Tuberculosis Epidemic Model with Latent and Treatment Period Time Delays. Dynamical Systems, Bifurcation Analysis and Applications.2019. https://archium.ateneo.edu/mathematics-faculty-pubs/75/

Jamie M. Caldwell, Elvira de Lara-Tuprio, Timothy Robin Teng, Maria Regina Justina E. Estuar, Raymond Francis R. Sarmiento, Milinda Abayawardana, Robert Neil F. Leong, Richard T. Gray, James G. Wood, Linh-Vi Le, Emma S. McBryde, Romain Ragonnet, James M. Trauer. Understanding COVID-19 dynamics and the effects of interventions in the Philippines: A mathematical modelling study,The Lancet Regional Health - Western Pacific,Volume 14,2021,100211,ISSN 2666-6065,

https://doi.org/10.1016/j.lanwpc.2021.100211. https://archium.ateneo.edu/mathematics-faculty-pubs/175/

Collaborative Analytics Group

1. Layacan JP, Donaire AM, Felipe H, Go CK. Revealing Causal Graph Structure in Pigeon Flocks Using Attentions in Temporal ConvNet. In 2023 International Joint Conference on Neural Networks (IJCNN) 2023 Jun 18 (pp. 1-7). IEEE.

2. Van VT, Antonio VA, Siguin CP, Gordoncillo NP, Sescon JT, Go CC, Miro EP. Predicting undernutrition among elementary schoolchildren in the Philippines using machine learning algorithms. Nutrition. 2022 Apr 1;96:111571.

3. Go CK, Koganti N, Ikeda K. Solving the shepherding problem: Imitation learning can acquire the switching algorithm. In2021 international joint conference on neural networks (ijcnn) 2021 Jul 18 (pp.1-7). IEEE.

Didactics of Mathematics Group

Ateneo Graph Coloring Research Group

1. Marie Cris A. Bulay-Og, Agnes D. Garciano, Reginaldo M. Marcelo, “On the sigma value and sigma range of the join of a finite number of even cycles of the same order” Journal of Physics: Conference Series, 1836 (2021). https://archium.ateneo.edu/mathematics-faculty-pubs/159/

2. Gerone Russel J. Eugenio, Mari-Jo P. Ruiz, Mark Anthony C. Tolentino, "The Set Chromatic Numbers of the Middle Graph of Graphs" Journal of Physics: Conference Series, 1836 (2021). https://archium.ateneo.edu/mathematics-faculty-pubs/160/

3. Agnes D. Garciano, Reginaldo M. Marcelo, Mari-Jo P. Ruiz, Mark Anthony C. Tolentino, "On the sigma chromatic number of the zero-divisor graphs of the ring of integers modulo n" Journal of Physics: Conference Series, 1836 (2021). https://archium.ateneo.edu/mathematics-faculty-pubs/161/

4. Agnes D. Garciano, Ma. Czarina T. Lagura, Reginaldo M. Marcelo, “On the sigma chromatic number of the join of a finite number of paths and cycles” Asian-European Journal of Mathematics, 14(2) (2021). https://archium.ateneo.edu/mathematics-faculty-pubs/72/

5. Agnes D. Garciano, Ma. Czarina T. Lagura, Reginaldo M. Marcelo, “Joins of paths and cycles of equal order with sigma chromatic number 2” Asian-European Journal of Mathematics, (2021). ;

6. Janice Kaye Aquino, Richard De Jesus, Lessandro Estelito Garciano, Renan Tanhueco, Agnes D. Garciano, “Repair Sequence and Recovery Time in Water Distribution Network Resiliency” International Journal of GEOMATE, 20(77) (2021). https://archium.ateneo.edu/mathematics-faculty-pubs/164/

7. Agnes D. Garciano, Reginaldo M. Marcelo, Mari-Jo P. Ruiz, Mark Anthony C. Tolentino, "Sigma Coloring and Edge Deletions" Journal of Information Processing, 28 (2020). https://archium.ateneo.edu/mathematics-faculty-pubs/149/

8. Agnes D. Garciano, Ma. Czarina T. Lagura, Reginaldo M. Marcelo, “Sigma chromatic number of graph coronas involving complete graphs” Journal of Physics: Conference Series, 1538 (2020). https://archium.ateneo.edu/mathematics-faculty-pubs/128/

9. Bryan Ceasar L. Felipe, Agnes D. Garciano, Mark Anthony C. Tolentino, "On the set chromatic number of the join and comb product of graphs" Journal of Physics: Conference Series, 1538 (2020). https://archium.ateneo.edu/mathematics-faculty-pubs/124/

10. Agnes D. Garciano, Reginaldo M. Marcelo, Mari-Jo P. Ruiz, Mark Anthony C. Tolentino, "The sigma chromatic number of the Sierpinski gasket graphs and the Hanoi graphs" Journal of Physics: Conference Series, 1538 (2020). https://archium.ateneo.edu/mathematics-faculty-pubs/123/

11. Jayson De Luna Tolentino, Reginaldo M. Marcelo, Mark Anthony C. Tolentino, "Twin chromatic indices of some graphs with maximum degree 3" Journal of Physics: Conference Series, 1538 (2020). https://archium.ateneo.edu/mathematics-faculty-pubs/125/

12. Lessandro Estelito Garciano, Agnes Garciano, Mark Tolentino, and Abraham Matthew Carandang, "Efficient Repair Scheduling Strategy of a Multi-Source Lifeline Network Using Constrained Spanning Forest" International Journal of GEOMATE, 17 (2019). https://archium.ateneo.edu/mathematics-faculty-pubs/55/

13. Eko Budi Santoso, Reginaldo M. Marcelo, “Existence of independent [1, 2]-sets in caterpillars” AIP Conference Proceedings 1707 (2016). https://archium.ateneo.edu/mathematics-faculty-pubs/45/

14. Paul Adrian D. Luzon, Mari-Jo P. Ruiz, and Mark Anthony C. Tolentino, "The Sigma Chromatic Number of the Circulant Graphs Cn(1, 2), Cn(1, 3), and C2n(1, n)" Lecture Notes in Computer Science (Discrete and Computational Geometry and Graphs), 9943 (2016). https://archium.ateneo.edu/mathematics-faculty-pubs/76/

Ateneo Mathematical Physics Lab

Ateneo Mathematics, Art, Culture and Creativity Lab

1. De Las Peñas, M.L.A.N., Garciano, A.D. and Verzosa, D.M.B.,Mathematics Embedded in Culture: the Weaves of the Batak Basketry. Philippines Studies Historical and Ethnographical Viewpoints 69-1 (2021) 31-38. 2.De Las Peñas, M.L.A.N. and Salvador-Amores, A. Enigmatic Geometric Tattoos of the Butbut of Kalinga, Philippines. The Mathematical Intelligencer (2019) 31-38. https://archium.ateneo.edu/mathematics-faculty-pubs/162/
 

Ateneo Mathplus Resources Laboratory

1.Verzosa, D.M.B., De Las Peñas, M.L.A.N., Aberin, M.A.Q., Garciano, A.G., Sarmiento, J.F., & Tolentino, M.A.C. (2021). Development of a Gamified Number Line App for Teaching Estimation and Number Sense in Grades 1 to 7. Proceedings of the 29th International Conference on Computers in Education, Asia-Pacific Society for Computers in Education. https://archium.ateneo.edu/mathematics-faculty-pubs/179/

2.De Las Peñas, M.L.A.N., Verzosa, D.M.B., Aberin, M.A.Q., Garciano, A.G., Sarmiento, J.F., & Tolentino, M.A.C. (2021). Designing performance tasks in mathematics using technological tools. Proceedings of the 2021 Asian Technology Conference in Mathematics. https://archium.ateneo.edu/mathematics-faculty-pubs/178/

3.Verzosa, D.M.B., De Las Peñas, M.L.A.N., Sarmiento, J.F., Aberin, M.A.Q., Tolentino, M.A.C., & Loyola, M.L. (2021). Using mobile technology to promote higher-order thinking skills in elementary mathematics. Proceedings of the 8th International Conference on Educational Technologies 2021, ICEduTech 2021 and 17th International Conference on Mobile Learning 2021, ML 2021, 19-26. (This paper won the Outstanding Paper Award in the conference.). https://archium.ateneo.edu/mathematics-faculty-pubs/156/

4.De Las Peñas, M.L.A.N., Verzosa, D.M.B., Sarmiento, J.F., Tolentino, M.A.C., Loyola, M.L. (2020). Designing mobile apps to promote numeracy and statistical reasoning, Proceedings of the 2020 Asian Technology Conference in Mathematics, 167-182. https://archium.ateneo.edu/mathematics-faculty-pubs/151/

5.Verzosa, D.M.B., De Las Peñas, M.L.A.N., Sarmiento, J.F., Tolentino, M.A.C., & Loyola, M.L. (2020). Development of a mobile ten frames app for Philippine K-12 schools, Proceedings of the 28th International Conference on Computers in Education, Asia-Pacific Society for Computers in Education, 173-179. https://archium.ateneo.edu/mathematics-faculty-pubs/148/

6.De las Penas, M. L. A. N., Verzosa, D. M., Aberin, M. A. Q., Garces, L. P. D. M., Francisco, F. F., Bautista, E. P., Tolentino, M. A. C., & Tabares, W. C. (2019). Digital Simulations for Grade 7 to 10 Mathematics. Philippine Journal of Science, 148(4), 735-749. https://archium.ateneo.edu/mathematics-faculty-pubs/46/

7.Verzosa, D.M.B., De Las Peñas, M.L.A.N., Aberin, M.A.Q., Garces, L.P.D.M. (2019) App-based scaffolds for writing two-column proofs, International Journal of Mathematical Education in Science and Technology, 50:5, 766-778. https://archium.ateneo.edu/mathematics-faculty-pubs/22/

8.Verzosa, D.M.B., De Las Peñas, M.L.A.N., Aberin, M.A.Q., Garces, L.P.D.M., & Guzon, A.F.H. (2018/07). App for Addition and Subtraction of Integers. International Journal for Technology in Mathematics Education, 25(4), 21-34. https://archium.ateneo.edu/mathematics-faculty-pubs/43/
 

Ateneo Symmetries in Algebra and Geometry Laboratory

1. De Las Peñas, M. L. A. N.  and Taganap, E. Crystallographic Flat Origami from n-uniform tilings. Discrete and Computational Geometry, Graphs and Games (eds, J. Akiyama, et al), JCDCGGG 2018, LNCS 13034, Springer Nature Switzerland (2021) 1–16. https://archium.ateneo.edu/mathematics-faculty-pubs/170/

2. De Las Peñas, M. L. A. N.  Mathematical Sightings at the Museum of Tomorrow The Mathematical Intelligencer 42-1 (2020) 24-28. https://archium.ateneo.edu/mathematics-faculty-pubs/115/

3.Aranas, A. and Loyola, M.L. Geometric Realizations of Abstract Regular Polyhedra with Automorphism group H3. Acta Cryst A76-3 (2020) 358-368. https://archium.ateneo.edu/mathematics-faculty-pubs/143/

4.Abila, A.K, De Las Peñas, M. L. A. N. and Taganap, E. Local and Global Color Symmetries of a Symmetrical Pattern. Acta Cryst A75 (2019) 730-745. https://archium.ateneo.edu/mathematics-faculty-pubs/116/

5. Taganap, E. and De Las Peñas. M. L. A. N. k-Isocoronal Tilings.Acta Cryst A 75 (2019) 94-106. https://archium.ateneo.edu/mathematics-faculty-pubs/48/

6. Say-awen,A. L., Frettlöh, D. and De Las Peñas, M. L. A. N.  Primitive Substitution Tilings with Rotational Symmetries. Acta Cryst A 74 (2018) 388-398. https://archium.ateneo.edu/mathematics-faculty-pubs/16/

7.Taganap, E.  and De Las Peñas, M. L. A. N. Hyperbolic Isocoronal Tilings.Journal of Mathematics and the Arts 12:2-3 (2018)  96-110. https://archium.ateneo.edu/mathematics-faculty-pubs/12/

8. De Las Peñas, M. L. A. N., Garciano, A. D., Verzosa, D. M. B and Taganap, E. Crystallographic Patterns in Philippine Indigenous Textile.Journal of Applied Crystallography 51 (2018), 456-469. https://archium.ateneo.edu/mathematics-faculty-pubs/21/

9. Loyola, M. L., Gomi, Y. and De Las Peñas, M. L. A. N.  String C-Groups of Order 1024. Contributions to Discrete Mathematics 13-1 (2018), 1-22. https://archium.ateneo.edu/mathematics-faculty-pubs/44/

10. Frettlöh, D.  Say-awen, A. L.  and De Las Peñas, M. L. A. N. Substitution Tilings with Dense Tile Orientations and n-fold Rotational Symmetry. Indagationes Mathematicae 28 (2017), 120-131. https://archium.ateneo.edu/mathematics-faculty-pubs/11/

11. De Las Peñas, M. L. A. N.  and Salvador-Amores, A. Mathematical and Anthropological Analysis of Northern Luzon Funerary Textile. Philippine Journal of Science 45-1 (2016), 87-101. https://archium.ateneo.edu/mathematics-faculty-pubs/1/

12.Mamaril, M. C. and De Las Peñas, M. L. A. N.  The Lamplighter Group Ln(h). AIP Conference Proceedings: 7th SEAMSUGM International Conference on Mathematics and its Applications 2015 1707, 020011 (2016); doi: 10.1063/1.4940812. https://archium.ateneo.edu/mathematics-faculty-pubs/24/

13. Loyola, M. L., De Las Peñas, M. L. A. N, Estrada, G. and Santoso, E. B. Symmetry Groups Associated with Tilings on a Flat Torus.Acta Cryst A 71 (2015), 99-110. https://archium.ateneo.edu/mathematics-faculty-pubs/8/

14.  Say-awen, A. L., De Las Peñas, M. L. A. N  and Rapanut, T. On Color Fixing Groups Associated with Colored Symmetrical Tilings.AIP Conference Proceedings: International Conference on Mathematics, Engineering and Industrial Applications 2014 1660, 050012 (2015); doi:10.1063/1.4915645. https://archium.ateneo.edu/mathematics-faculty-pubs/23/

15. De Las Peñas, M. L. A. N, Garciano, A.D. and Verzosa, D.M.B. Weaving Mat(h)s .The Mathematical Intelligencer 36(4) (2014) 36-46. https://archium.ateneo.edu/mathematics-faculty-pubs/29/

16. Taganap, E., De Las Peñas, M. L. A. N.  and Rapanut, T. Crystallographic Flat Origami with Three Flat Foldability Types of the Generating Unit.AIP Conference Proceedings: International Conference for

Mathematical Sciences 2014, 1602, 662 (2014); doi: 10.1063/1.4882556. https://archium.ateneo.edu/mathematics-faculty-pubs/40/

17. Loyola, M. L., De Las Peñas, M. L. A. N, Estrada, G. and Santoso, E. B. A Quotient Space Approach to Model Nanotori and Determine their Symmetry Groups.AIP Conference Proceedings: International Conference for Mathematical Sciences 2014, 1602, 620 (2014); doi: 10.1063/1.4882549. https://archium.ateneo.edu/mathematics-faculty-pubs/41/

18. Loyola, M. L., De Las Peñas, M. L. A. N, Basilio, A. and Santoso, E. B. Symmetry Groups of Single Wall Nanotubes). Acta Cryst A 70 (2014) 12-23. https://archium.ateneo.edu/mathematics-faculty-pubs/42/

19. Provido, E. B., De Las Peñas, M. L. A. N. and Felix, R. P. On Subgroups of Crystallographic Coxeter Groups. Acta Cryst. A 69 (2013) 445-451. https://archium.ateneo.edu/mathematics-faculty-pubs/31

20. Bugarin, E. P., De Las Peñas, M. L. A. N. and Frettlöh, D. Perfect Colourings of Cyclotomic Integers. Geometria Dedicata 162 (2013), 271-282. https://archium.ateneo.edu/mathematics-faculty-pubs/27/

21. Loyola, M. L., De Las Peñas, M. L. A. N. and Basilio, A. Colorings of Single Wall Carbon Nanotubes. Zeitschrift für Kristallographie 227 (2012), 672-680. https://archium.ateneo.edu/mathematics-faculty-pubs/38/

22. Bugarin, E. P. and De Las Peñas, M.L.A.N. On Bravais Colorings Associated with Periodic and Non-Periodic Crystals. Phil. Journal of Science 140-1 (2011), 89-97.

23. Bugarin, E. P., De Las Peñas, M.L.A.N and Frettlöh, D.  Colourings of Cyclotomic Integers with Class Number One. Philosophical Magazine 91:19-21 (2011), 2690-2699. https://archium.ateneo.edu/mathematics-faculty-pubs/99/

24. Gozo, B., De Las Peñas, M.L.A.N., Laigo, G. R. and Felix, R. P. Semi-Perfect Colourings of Hyperbolic Tilings. Philosophical Magazine 91:19-21 (2011), 2700-2708. https://archium.ateneo.edu/mathematics-faculty-pubs/102/

25. Laigo, G. R., De Las Peñas, M.L.A.N. and Felix, R. P. On Subgroups of Hyperbolic Coxeter Tetrahedral Groups. Zeitschrift für Kristallographie 225 (2010) 313-338. https://archium.ateneo.edu/mathematics-faculty-pubs/136/

26. Bugarin, E. P., De Las Peñas, M.L.A.N., Evidente, I., Felix, R. P and Frettlöh. D.  On Color Groups of Bravais Colorings of Planar Modules with Quasicrystallographic Symmetries. Zeitschrift für Kristallographie 223: 11-12 (2008) 785-790. https://archium.ateneo.edu/mathematics-faculty-pubs/104/

27. Decena, C., De Las Peñas, M.L.A.N. and Felix, R. P. Enumeration of Index 3 and 4 Subgroups of Hyperbolic Triangle Symmetry Groups. Zeitschrift für Kristallographie 223 10 (2008), 543-551. https://archium.ateneo.edu/mathematics-faculty-pubs/105/

28. De Las Peñas, M.L.A.N. and Felix, R. P. Color Groups Associated with Square and Hexagonal Lattices. Zeitschrift für Kristallographie 222 (2007), 505-512. https://archium.ateneo.edu/mathematics-faculty-pubs/107/

29. Provido, E. B., De Las Peñas, M.L.A.N. and Felix, R. P. On Index 2 Subgroups of Hyperbolic Symmetry Groups. Zeitschrift für Kristallographie 222 (2007) 443-448. https://archium.ateneo.edu/mathematics-faculty-pubs/108/

30. Laigo, G.R., De Las Peñas, M.L.A.N. and Felix, R. P. Colorings of Hyperbolic Plane Crystallographic Patterns. Zeitschrift für Kristallographie 221 (2006), 665-672. https://archium.ateneo.edu/mathematics-faculty-pubs/110/

Non-Scopus Publications List

Tomenes, M. and De Las Peñas, M.L.A.N. Tilings with Congruent Edge Coronae. Polytopes and Discrete Geometry: Contemporary Mathematics Series, (eds G. Cunningham, M. Mixer and E. Shulte), American Mathematical Society (2021) 251-272. https://archium.ateneo.edu/mathematics-faculty-pubs/142/

Taganap, E.  and De Las Peñas, M.L.A.N.  Color Symmetry Approach to the Construction of Crystallographic Flat Origami.Origami6 (eds. P.Wang-Iverson, R.Lang, etal), American Mathematical Society (2015) 11-20. https://archium.ateneo.edu/mathematics-faculty-pubs/26/

De Las Peñas, M.L.A.N. , Garciano, A.D. and Verzosa, D.M.B. Color Symmetry in the Hand Woven Mats of the Jama Mapun.Bridges Seoul: Mathematics, Music, Art, Architecture, Culture (eds. G.Greenfield, G.Hart, and R. Sarhangi), Tessellations Publishing, Arizona (2014) 357-360. https://archium.ateneo.edu/mathematics-faculty-pubs/28/

De Las Peñas, M.L.A.N., Baylas, N. IV and Rapanut, T. Weaving Symmetry of the Philippine Northern Kankana-ey. Bridges Towson: Mathematics, Music, Art, Architecture and Culture (eds. R. Bosch, D. Mckenna and R. Sarhangi), Tessellations Publishing, Arizona (2012), 267-274. https://archium.ateneo.edu/mathematics-faculty-pubs/39/

Provido, E.B., De Las Peñas, M.L.A.N. and Decena, C. On the Subgroups of the Triangle Group ∗ 𝟐𝒑∞. Advances in Algebraic Structures (eds. W. Hemakul et al), World Scientific Co. Ltd (2012), 478-495. https://archium.ateneo.edu/mathematics-faculty-pubs/100/

Provido, E. B., De Las Peñas, M.L.A.N. and Felix, R. P. On Torsion Free Subgroups of p32 and Related Colored Tilings.Bridges Pécs: Mathematics, Music, Art and Architecture (eds. G. Hart and R. Sarhangi),Tessellations Publishing, Arizona (2010) 410-419. https://archium.ateneo.edu/mathematics-faculty-pubs/103/

Laigo, G. R., De Las Peñas, M.L.A.N. and Felix, R. P. Constructing Colored Honeycombs. Bridges Banff: Mathematics, Music, Art and Culture (eds. C.Kaplan and R. Sarhangi), Tarquin Books, Hertfordshire (2009),131-138.

Decena, C. and De Las Peñas, M. L. A. N. On Orbifolds Associated with Subgroups of Triangle Groups of Index at most Four. Loyola Schools Review: Science and Engineering 8 (2009) 63-84.

De Las Peñas, M.L.A.N. , Laigo, G. R. and Puzon, I.  Coxeter Groups in Colored Tilings and Patterns. Bridges Leeuwarden: Mathematical Connections in Art, Music and Science (eds. R. Sarhangi and C. Sèguin), Tarquin Publications, Hertfordshire (2008) 311-318. https://archium.ateneo.edu/mathematics-faculty-pubs/106/

De Las Peñas, M.L.A.N. , Laigo, G. R. and Provido, E.B.  Hyperbolic Semi-regular Tilings and their Symmetry Properties. Bridges Donostia: Mathematical Connections in Art, Music and Science (eds. R. Sarhangi and J.Barallo), Tarquin Publications, Hertfordshire (2007) 361-368. https://archium.ateneo.edu/mathematics-faculty-pubs/109/

Provido, E.B. and De Las Peñas, M.L.A.N. Determining Symmetry Groups of Semi-regular Tilings. Loyola Schools Review: Science & Engineering 6 (2007) 1-19.

Laigo, G. R., De Las Peñas, M. L. A. N. and Felix, R. P. An Approach in Coloring Semi-regular Tilings on the Hyperbolic Plane.  Renaissance Banff: Mathematical Connections in Art, Music and Science (eds. R. Moody and R. Sarhangi), Central Plain Book Manufacturing Co, Winfield, Kansas (2005), 313-320. https://archium.ateneo.edu/mathematics-faculty-pubs/111/

De Las Peñas, M. L. A. N. and Basilio, A. On Vertex Colorings of Archimedean Tilings with Applications in Molecular Symmetry. Loyola Schools Review; Science and Engineering 3 (2004). 125-137.