Profile image of Guillermo Pineda Villavicencio

Dr Guillermo Pineda Villavicencio

STAFF PROFILE

Position

Senior Lecturer, Computer Science and Mathematics

Faculty

Faculty of Sci Eng & Built Env

Department

School of Info Technology

Campus

Geelong Waurn Ponds Campus

Qualifications

Bachelor of Computer Science, University of Oriente, 2002

Biography

Education

Guillermo Pineda-Villavicencio completed a Graduate Certificate in Education (Tertiary Teaching) in 2015 and PhD in Mathematics in 2009, both at Federation University Australia. In 2002 he receieved a Bachelor degree in Computer Science with first class honours from the University of Oriente (Cuba).

Work experience 

Guillermo joined Deakin University as a senior lecturer in computer science and mathematics in June 2019. Before that, between July 2013 and June 2019 he was a lecturer and then senior lecturer in mathematics at Federation University.

Between February and July 2013, Guillermo Pineda-Villavicencio was a postdoctoral fellow at Ben Gurion University of the Negev, under Prof Eran Nevo and Prof Mikhail Klinand. And between January 2009 and February 2013 he was a postdoctoral fellow under Prof John Yearwood and a lecturer (assistant professor equivalent) in mathematics at Federation University.

Between 2002 and 2003 Guillermo worked as a mathematics lecturer at the University of Information Sciences (Cuba). And from September 2003 to July 2008 I was a lecturer (assistant professor equivalent) in mathematics at the University of Oriente (Cuba).

Read more on Guillermo's profile

Research interests

Interplay between discrete geometry and graph theory, and applications of mathematics to health informatics

Affiliations

Teaching interests

Units from discrete mathematics and statistics to analysis and optimisation.

Units taught

Deakin University

  • SIT106 Fundamental concepts of mathematics
  • SIT292 Linear algebra for data analysis

Federation University (2009-2019)

  • MATH3001 Modelling and change (Advanced level), a calculus III unit
  • MATHS2012 Graphs, digraphs and networks
  • MATHS1001 Modelling and change (Introductory level), a calculus I unit
  • ENCOR1140 Calculus and physics
  • MATHS2003 Profit, loss and gambling, an introductory unit on probability
  • MATHS1000 Upon the shoulders of giants, a precalculus unit
  • MATHS1005 Secrets of the matrix 
  • STATS1000 Statistical methods

University of Oriente (2003-2008)

  • Discrete mathematics
  • Real analysis and calculus
  • Mathematical logic
  • Algorithms
  • Programming 
  • Linear algebra

University of Information Sciences (2002-2003)

  • Discrete mathematics
  • Programming

Knowledge areas

Mathematics and computer science

Awards

Publications

Filter by

2020

Polytopes close to being simple

Guillermo Pineda Villavicencio, J Ugon, D Yost

(2020), Vol. 64, pp. 200-215, Discrete and computational geometry, New York, N.Y., C1

journal article

Almost simplicial polytopes: the lower and upper bound theorems

Eran Nevo, Guillermo Pineda-Villavicencio, J Ugon, David Yost

(2020), Vol. 72, pp. 537-556, Canadian journal of mathematics, Cambridge, Eng., C1

journal article

Connectivity of cubical polytopes

Hoa Bui, Guillermo Pineda Villavicencio, Julien Ugon

(2020), Vol. 169, pp. 1-21, Journal of Combinatorial Theory, Series A, Amsterdam, The Netherlands, C1

journal article

Using radar plots for performance benchmarking at patient and hospital levels using an Australian orthopaedics dataset

D Morales-Silva, C McPherson, G Pineda Villavicencio, R Atchison

(2020), pp. 1-19, Health Informatics Journal, England, C1

journal article
2019

On the reconstruction of polytopes

J Doolittle, E Nevo, G Pineda-Villavicencio, J Ugon, D Yost

(2019), Vol. 61, pp. 285-302, Discrete and computational geometry, New York, N.Y., C1

journal article

Lower bound theorems for general polytopes

G Pineda-Villavicencio, J Ugon, D Yost

(2019), Vol. 79, pp. 27-45, European journal of combinatorics, Amsterdam, The Netherlands, C1

journal article
2018

The excess degree of a polytope

G Pineda-Villavicencio, J Ugon, D Yost

(2018), Vol. 32, pp. 2011-2046, SIAM journal on discrete mathematics, Philadelphia, Pa., C1

journal article
2016

On the maximum order of graphs embedded in surfaces

E Nevo, G Pineda Villavicencio, D Wood

(2016), Vol. 119, pp. 28-41, Journal of combinatorial theory, series B, Amsterdam, The Netherlands, C1-1

journal article
2015

The degree-diameter problem for sparse graph classes

G Pineda Villavicencio, D Woodf David

(2015), Vol. 22, pp. 1-20, Electronic journal of combinatorics, [Atlanta, Ga.], C1-1

journal article

Quadratic form representations via generalized continuants

C Delorme, G Pineda Villavicencio

(2015), Vol. 18, pp. 1-22, Journal of integer sequences, Basking Ridge, N.J., C1-1

journal article

Continuants and some decompositions into squares

C Delorme, Guillermo Pineda Villavicencio

(2015), Vol. 15, pp. 1-21, Integers: electronic journal of combinatorial number theory, Carrollton, Ga., C1-1

journal article
2014

Constructions of large graphs on surfaces

R Feria-Puron, G Pineda Villavicencio

(2014), Vol. 30, pp. 895-908, Graphs and combinatorics, Tokyo, Japan, C1-1

journal article
2013

On large bipartite graphs of diameter 3

R Feria-Purn, M Miller, G Pineda Villavicencio

(2013), Vol. 313, pp. 381-390, Discrete mathematics, Amsterdam, The Netherlands, C1-1

journal article

Measuring surveillance in online advertising: a big data approach

A Herps, P Watters, G Pineda Villavicencio

(2013), pp. 30-35, CTC 2013 : Proceedings of the 2013 Fourth Cybercrime and Trustworthy Computing Workshop, Sydney, N.S.W., E1-1

conference

Fitting Voronoi diagrams to planar tesselations

G Aloupis, H Prez-Ross, G Pineda Villavicencio, P Taslakian, D Trinchet-Almaguer

(2013), Vol. 8288, pp. 349-361, IWOCA 2013 : Proceedings of the 24th International Workshop on Combinatorial Algorithms 2013, Rouen, France, E1-1

conference
2012

The maximum degree & diameter-bounded subgraph and its applications

A Dekker, H Prez-Ross, G Pineda Villavicencio, P Watters

(2012), Vol. 11, pp. 249-268, Journal of mathematical modelling and algorithms, Cham, Switzerland, C1-1

journal article

On bipartite graphs of defect at most 4

R Feria-Purn, G Pineda Villavicencio

(2012), Vol. 160, pp. 140-154, Discrete applied mathematics, Amsterdam, The Netherlands, C1-1

journal article
2011

On graphs of defect at most 2

R Feria-Purn, M Miller, G Pineda Villavicencio

(2011), Vol. 159, pp. 1331-1344, Discrete applied mathematics, Amsterdam, The Netherlands, C1-1

journal article

Non-existence of bipartite graphs of diameter at least 4 and defect 2

G Pineda Villavicencio

(2011), Vol. 34, pp. 163-182, Journal of algebraic combinatorics, New York, N.Y., C1-1

journal article
2010

On graphs with cyclic defect or excess

C Delorme, G Pineda Villavicencio

(2010), Vol. 17, pp. 1-25, Electronic journal of combinatorics, [Atlanta, Ga.], C1-1

journal article

New benchmarks for large-scale networks with given maximum degree and diameter

E Loz, G Pineda Villavicencio

(2010), Vol. 53, pp. 1092-1105, Computer journal, Oxford, Eng., C1-1

journal article

Topology of interconnection networks with given degree and diameter

G Pineda Villavicencio

(2010), Vol. 81, pp. 350-352, Bulletin of the Australian Mathematical Society, Cambridge, Eng., C1-1

journal article
2009

On bipartite graphs of defect 2

C Delorme, L Jrgensen, M Miller, G Pineda Villavicencio

(2009), Vol. 30, pp. 798-808, European journal of combinatorics, Amsterdam, The Netherlands, C1-1

journal article

New largest known graphs of diameter 6

G Pineda Villavicencio, J Gmez, M Miller, H Prez-Ross

(2009), Vol. 53, pp. 315-328, Networks, Chichester, Eng., C1-1

journal article

On bipartite graphs of diameter 3 and defect 2

C Delorme, L Jrgensen, M Miller, G Pineda Villavicencio

(2009), Vol. 61, pp. 271-288, Journal of graph theory, Chichester, Eng., C1-1

journal article

Complete catalogue of graphs of maximum degree 3 and defect at most 4

M Miller, G Pineda-Villavicencio

(2009), Vol. 157, pp. 2983-2996, Discrete applied mathematics, Amsterdam, The Netherlands, C1-1

journal article

On the nonexistence of graphs of diameter 2 and defect 2

M Miller, M Nguyen, G Pineda-Villavicencio

(2009), Vol. 71, pp. 5-20, Journal of combinatorial mathematics and combinatorial computing, Winnipeg, Man., C1-1

journal article
2008

On graphs of maximum degree 3 and defect 4

G Pineda-Villavicencio, M Miller

(2008), Vol. 65, pp. 25-31, Journal of combinatorial mathematics and combinatorial computing, Winnipeg, Man., C1-1

journal article

On the non-existence of odd degree graphs of diameter 2 and defect 2

Brendan McKay, Mirka Miller, Minh Nguyen, Guillermo Pineda-Villavicencio

(2008), Vol. 10, pp. 1-11, IWOCA 2007 : Proceedings of the 18th International Workshop of Combinatorial Algorithms 2007, Lake Macquarie, N.S.W., E1-1

conference

Funded Projects at Deakin

No Funded Projects at Deakin found

Supervisions

No completed student supervisions to report