Publications

Preprints
  1. H. T. Bui, G. Pineda-Villavicencio and J. Ugon, Connectivity of cubical polytopes, 13 pages, arXiv.
  2. G. Pineda-Villavicencio, J. Ugon and D. Yost, The excess degree of a polytope, 34 pages, arXiv.
  3. G. Pineda-Villavicencio, J. Ugon and D. Yost, On polytopes close to being simple, 16 pages, arXiv.
  4. E. Nevo, G. Pineda-Villavicencio, J. Ugon and D. Yost, On the reconstruction of polytopes, 14 pages, arXiv.
  5. G. Pineda-Villavicencio, J. Ugon and D. Yost, Lower bound theorems for general polytopesarXiv.
  6. E. Nevo, G. Pineda-Villavicencio, J. Ugon and D. Yost, Almost simplicial polytopes I. The lower and upper bound theorems, arXiv.

Refereed publications
  1. E. Nevo, G. Pineda-Villavicencio, J. Ugon and D. Yost, Almost simplicial polytopes: The lower and upper bound theorems, Proceedings of the 28th International Conference on Formal Power Series and Algebraic Combinatorics (Vancouver, British Columbia, Canada), Jul 2016. DMTCS Proceedings, 2016, 947-958. (Extended Abstract).
  2. E. Nevo, G. Pineda-Villavicencio and D. R. Wood, On the maximum order of graphs embedded in surfaces, Journal of Combinatorial Theory, Series B 119 (2016), 28-41.
  3. G. Pineda-Villavicencio and D. R. Wood, The degree-diameter problem for sparse graph classes, The Electronic Journal of Combinatorics 22 (2015), no. 2, P2.46.
  4. C. Delorme and G. Pineda-Villavicencio, Quadratic form representations via generalized continuants, Journal of Integer Sequences 18 (2015), Article 15.6.4.
  5. C. Delorme and G. Pineda-Villavicencio, Continuants and some decompositions into squares, Integers 15 (2015), paper A3.
  6. G. Aloupis, H. Perez-Roses, G. Pineda-Villavicencio, P. Taslakian and D. Trinchet-Almaguer Fitting Voronoi Diagrams to Planar Tesselations, Lecture Notes in Computer Science 8288 (2013), 349-361.
  7. R. Feria-Puron and G. Pineda-Villavicencio, Constructions of large graphs on surfaces, Graphs and Combinatorics 30 (2014), no. 4, 895-908.
  8. R. Feria-Puron, M. Miller and G. Pineda-Villavicencio, On large bipartite graphs of diameter 3, Discrete Mathematics 313 (2013), no. 4, 381-390.
  9. A. Dekker, H. Perez-Roses, G. Pineda-Villavicencio and P. Watters, The maximum degree & diameter-bounded subgraph and its applications, Journal of Mathematical Modelling and Algorithms 11 (2012), no. 3, 249-268.
  10. R. Feria-Puron and G. Pineda-Villavicencio, On bipartite graphs of defect at most 4, Discrete Applied Mathematics 160 (2012), 140-154.
  11. R. Feria-Puron, M. Miller and G. Pineda-Villavicencio, On graphs of defect at most 2, Discrete Applied Mathematics 159 (2011), no. 13, 1331-1344.
  12. G. Pineda-Villavicencio, Non-existence of bipartite graphs of diameter at least 4 and defect 2, Journal of Algebraic Combinatorics 34 (2011), no. 2, 163-182.
  13. C. Delorme and G. Pineda-Villavicencio, On graphs with cyclic defect or excess, The Electronic Journal of Combinatorics 17 (2010), no. 1, R143.
  14. E. Loz and G. Pineda-Villavicencio, New benchmarks for large scale networks with given maximum degree and diameter, The Computer Journal 53 (2010), no. 7, 1092-1105.
  15. G. Pineda-Villavicencio, Topology of interconnection networks with given degree and diameter (PhD Thesis Abstract), Bulletin of the Australian Mathematical Society 81 (2010), no. 2, 350-352.
  16. M. Miller and G. Pineda-Villavicencio, Complete catalogue of graphs of maximum degree 3 and defect at most 4, Discrete Applied Mathematics 157 (2009), no. 13, 2983-2996.
  17. M. Miller, M. Nguyen and G. Pineda-Villavicencio, On the nonexistence of graphs of diameter 2 and defect 2, Journal of Combinatorial Mathematics and Combinatorial Computing 71 (2009), 5-20.
  18. C. Delorme, L. K. Jorgensen, M. Miller and G. Pineda-Villavicencio, On bipartite graphs of diameter 3 and defect 2, Journal of Graph Theory 61 (2009), no. 4, 271-288.
  19. C. Delorme, L. K. Jorgensen, M. Miller and G. Pineda-Villavicencio, On bipartite graphs of defect 2European Journal of Combinatorics 30 (2009), no. 4, 798-808.
  20. G. Pineda-Villavicencio, J. Gomez, M. Miller and H. Perez-Roses, New largest known graphs of diameter 6, Networks 53 (2009), no. 4, 315-328.
  21. G. Pineda-Villavicencio and M. Miller. On graphs of maximum degree 3 and defect 4, Journal of Combinatorial Mathematics and Combinatorial Computing 65 (2008), 25-31.
  22. M. Miller, M. Nguyen and G. Pineda-Villavicencio. On the non-existence of even degree graphs of diameter 2 and defect 2. In: J. Harland and P. Manyem (editors), Proceedings of CATS 2008, the 14th Computing: The Australian Theory Symposium (CATS 2008), University of Wollongong, Australia, January 22-25, 2008. Australia. Conferences in Research and Practice in Information Technology.
  23. M. Nguyen, M. Miller and G. Pineda-Villavicencio. On the non-existence of odd degree graphs of diameter 2 and defect 2. In: L. Brankovic, Y.Q. Lin and W. F. Smyth (editors), Proceedings of IWOCA 2007, the Eighteenth International Workshop on Combinatorial Algorithms, 5-9 November, 2007, Lake Macquarie, N.S.W., pages 143-150. U.K. College Publications.
  24. G. Pineda Villavicencio and M. Miller. On Graphs of Maximum Degree 5, Diameter D and Defect 2. Proceedings of MEMICS 2006, 2nd Doctoral Workshop on Mathematical and Engineering Methods in Computer Science, Mikulov, Czech Republic, 27-29 October, 2006.
  25. G. Pineda-Villavicencio, J. Gomez, M. Miller and H. Perez-Roses. New largest graphs of diameter 6. Electronic Notes in Discrete mathematics 24 (2006), 153-160.
  26. M. Miller and G. Pineda-Villavicencio, On Large Graphs with Given Degree and Diameter, Proceedings of AWOCA 2005, the Sixteenth Australasian Workshop on Combinatorial Algorithms, Ballarat, Australia, 18-21 September, 2005. p. 239-247, ISBN:0-646-45252-5.
  27. H. Perez-Roses, C. Cruz-Reyes, A. Martinez-Arias, J. Martinez-Mojicar and G. Pineda-Villavicencio. Different approaches to Voronoi Image Compression. Proceedings of XII CLAIO, the 12th Latin-Iberoamerican Operations Research Conference, Havana, Cuba, 2004, ISBN 959-261-166-1.
  28. R. M. Danger-Mercaderes, G. Pineda-Villavicencio and L. Valcarcel-Martinez. Module for Implementation of Geographic Information Systems. Proceedings of AUT 2002, the 2nd International Conference on Automatic Control, Santiago de Cuba, Cuba, July, 2002. Legal Deposit : B-35.469-02. ISBN: 84-699-9025-X.