Ramón Manuel Figueroa-Centeno, Ph.D.

Mathematics Department

University of Hawai`i at Hilo

200 W. Kawili St.

Hilo, HI 96720-4091

(808) 974-7387 (office)

(808) 974-7693 (fax)

ramonf@hawaii.edu

(click here to go to my main page)

Date of Birth: April 1, 1967

- Primary School - Colegio Humboldt (German/Venezuelan School),
Caracas

1973-1977 - Primary School - Byron Court School - N. Wembley, London,
England

1977-1978 - Primary School - Orley Farm School - Harrow on the Hill, London,
England

1978-1979 - High School - Colegio Humboldt (German/Venezuelan School),
Caracas

1980-1985 - University - Universidad Metropolitana, Caracas, Venezuela
- Pure mathematics (8 semesters) Fall 1986-Summer 1990
- Systems Engineering (6 semesters) Spring 1987-Fall 1989
- Administrative Sciences (3 semesters) Fall 1985-Fall 1986

- University - Western Michigan University (WMU), Kalamazoo,
Michigan
- B.S. In Mathematics with a minor in Computer Science (1992)
- M.A. In pure mathematics (1994)
- Ph.D. In Pure Mathematics with concentration in Graph Theory (1998)

- Other Studies - Visiting student of the Mathematics Department
of I.V.I.C. (Venezuelan Institute of Scientific Research) under the guidance
of Professor Carlos A. Di Prisco, summer 1987. Area of study: computational
complexity, NP-completeness.

- CAVEIN (Venezuelan Company of Studies and Investments) - Computer
Systems Analyst

1985-1990 - Universidad Metropolitana - Teaching Assistant

Three semesters

1986-1987 - WMU - Teaching Assistant/Doctoral Associate

1992-1998- Math 111 - Intermediate Algebra
- Math 118 - Pre Calculus
- Math 122 - Calculus I
- Math 116 - Finite Math and Applications (Business)
- Math 440 - Introduction to Graph Theory
- Mathematics "Mac Lab" Supervisor and web page developer

- ATYP (Academically Talented Youth Program) - Instructor (held
in conjunction with Kalamazoo College)

1996-1998 - Kalamazoo College - Instructor

Spring 1997- Calculus II

- WMU - Assistant Director

Summer 1996

The Eighth International Conference in Graph Theory and Combinatorics - WMU - Mathematical Computing Consultant

Summer 1995

National Science Foundation Summer Program computer consultant for the Department of Mathematics and Statistics at Western Michigan University. Primary responsibilities included assisting students (high school teachers) and professors with their computer needs for the summer. - Kalamazoo Area math and Science Center - Mentor

1993

Served as a mentor to a Latino high school student in this prestigious program. The student, Wayne Alejandro Wolbert-Pérez, produced a thesis on the history of Mayan mathematics. - WMU - From 1992 to 1998 I spent several hours a week working one on one with Francesc Antoni Muntaner-Batle, since he was a freshman taking Calculus to the completion of his master's in Pure Mathematics. During these meetings I mentored and tutored him in all his Mathematics classes. He decided then to become a Graph Theorist and in November 2001 earned his doctorate Summa cum Laude at the Universitat Politècnica de Catalunya (Barcelona, Spain) with a dissertation born out of the research we have conducted with Rikio Ichishima on Magic Labelings of Graphs since 1998.
- Pittsburg State University (PSU) - Assistant Professor

1998 - 2002- Math 019 - Intermediate Algebra
- Math 113 - College Algebra
- Math 122 - Plane Trigonometry
- Math 155 - Calculus II
- Math 513 - Discrete Structures
- Math 569 - Numerical Analysis
- Math 687 - Readings in Mathematics: Graph Theory
- Math 687 - Readings in Mathematics: Combinatorics
- Math 687 - Readings in Mathematics: Group Theory with Maple V
- Math 699 - Senior Seminar
- Math 863 - Graph Theory
- Math 891 - Master's Problem

- University of Hawai`i at Hilo (UHH) - Assistant Professor

2002 - Present- Math 206 - Calculus II
- Math 100 – Survey of Mathematics
- Math 104G – Precalculus: Trigonometry
- Math 205 – Calculus I
- Math 206 – Calculus II
- Math 310 – Discrete Math
- Math 311 – Introduction to Linear Algebra
- Math 454 – Applied Modern Algebra I
- Math 455 – Applied Modern Algebra II

- UHH - During most of the 2002-2003 academic year I mentored a high school student, Miss Kristen Bautista, in her mathematics project for the state science fair, which she won in the mathematics category. Her paper was titled If Chickens were Kings. In it she studied the so-called King Chicken Theorem and other properties of tournaments. In particular, she postulated and proved what she called the Duke Chicken Theorem. She also used the Monte Carlo method to give validity to a conjecture that she made. She learned during this project not only mathematics, but also how is it that mathematicians present their results.
- UHH – From 2002 to the present, I have been working with various students at UHH in undergraduate research. The papers (and perhaps a book) that result from these efforts will be submitted for publication during the Spring 2007 semester.

- Seminar on Mathematical Logic - Universidad Metropolitana, Caracas, 1988.
- Speaker in the International Congress on New Technologies for Software and Supercomputer Development, Caracas, 1989 (sponsored by the French Embassy and the Paris-Sud University, Orsay, France and the Central University of Venezuela, Caracas).
- Speaker at the Congress of Combinatorics, Graph Theory and Computing, Florida Atlantic University, Boca Ratón, Florida, 1990.
- Speaker at the Joint Mathematics Meeting in Baltimore, where I presented my research on Efficient Imbeddings of Finite Projective Planes, 1998.
- Seminars of Graph Theory and History of Mathematics at WMU whilst pursuing doctoral studies there.
- Given Colloquium talks on Graph Theory and History of mathematics whilst at PSU.
- Given a Colloquium talk on Graph Theory whilst at UHH.

- R. M. Figueroa-Centeno and R. E. Giudici, An Improved Algorithm for the Chromatic Polynomial, presented at the International Congress on New Technologies for Software and Supercomputer Development, Caracas, 1989.
- R. M. Figueroa-Centeno and R. E. Giudici, Frucht's Algorithm for the Chromatic Polynomial, published in the proceedings of the 1991 Caribbean Conference on Graph Theory.
- R. M. Figueroa-Centeno and A. T. White, Topological models
for classical configurations. Special issue in honor of Professor Ralph Stanton.
*J. Statist. Plann. Inference***86**(2000), no. 2, 421-434. MR 2001d:05028 - R. M. Figueroa-Centeno, R. Ichishima and F. A. Muntaner-Batle,
Bertrand's postulate and magical product labelings,
*Bull. Inst. Combin. Appl.*,**30**(2000) 53-65. MR 2001d:05163 - R. M. Figueroa-Centeno, R. Ichishima and F. A. Muntaner-Batle,
The place of super edge-magic labelings among other classes of labelings,
17th British Combinatorial Conference (Canterbury, 1999).
*Discrete Math.*,**231**no. 1-3 (2001) 153-168. MR 2002b:05118 - R. M. Figueroa-Centeno, R. Ichishima and F. A. Muntaner-Batle,
On super edge-magic graphs,
*Ars Combin.*,**64**, (2002) 81-95. MR 1 914 199 - R. M. Figueroa-Centeno, R. Ichishima and F. A. Muntaner-Batle,
On the super edge-magic deficiency of graphs, to appear in
*Discrete Math.* - R. M. Figueroa-Centeno, R. Ichishima and F. A. Muntaner-Batle,
Magical coronations of graphs.,
*Austral. J. Combin.*,**26**(2002) 199-208. MR 1 918 154 - R. M. Figueroa-Centeno and R. E. Giudici, An Improved Algorithm for the Chromatic Polynomial, presented at the International Congress on New Technologies for Software and Supercomputer Development, Caracas, 1989.
- R.M. Figueroa-Centeno, R. Ichishima and F.A. Muntaner-Batle, Labeling the vertex amalgamation of graphs,
*Discussiones Mathematicae. Graph Theory*,**23**(1) (2003) 129–139. - R.M. Figueroa-Centeno and R. Ichishima, The
*n*-dimensional cube is felicitous,*Bulletin of the Institute of Combinatorics and its Applications*,**41**(2004) 47–50. - R.M. Figueroa-Centeno, R. Ichishima and F.A. Muntaner-Batle, On edge-magic labelings of certain disjoint unions of graphs,
*The Australasian Journal of Combinatorics*,**32**(2005) 225–242. - R.M. Figueroa-Centeno, R. Ichishima and F.A. Muntaner-Batle, Some new results on the super edge-magic deficiency of graphs,
*Journal of Combinatorial Mathematics and Combinatorial Computing*,**55**(2005) 17–31. - R.M. Figueroa-Centeno, R. Ichishima and F.A. Muntaner-Batle, On the super edge-magic deficiency of graphs,
*Ars Combinatoria*,**78**(2006) 33–45. - R.M. Figueroa-Centeno, R. Ichishima and F.A. Muntaner-Batle, Gracefully cultivating trees on a cycle, preprint.
- R.M. Figueroa-Centeno, R. Ichishima and F.A. Muntaner-Batle, Enlarging the classes of edge-magic 2-regular graphs, preprint.
- R.M. Figueroa-Centeno, R. Ichishima and F.A. Muntaner-Batle, Construction methods to generate super edge-magic trees, preprint.
- R.M. Figueroa-Centeno, R. Ichishima and F.A. Muntaner-Batle, On edge-magic labelings of 2-regular graphs, preprint.
- R.M. Figueroa-Centeno, R. Ichishima and F.A. Muntaner-Batle, On certain valuations of cycles and stars, preprint.
- R.M. Figueroa-Centeno, R. Ichishima, F. A. Muntaner-Batle and M. Rius-Font, Labeling Generating Matrices, preprint.
- R.M. Figueroa-Centeno, L.K. Lee-Loy and C.N. Rice, Uniquely Super Edge-Magic Graphs, preprint.
- R.M. Figueroa-Centeno, L.K. Lee-Loy and C.N. Rice, How Magical are the Hawaiian Lei Graphs?, preprint.
- W. Bierman and R.M. Figueroa-Centeno, Catalog of Small Order Super Edge-Magic Graphs, preprint.

- Graph Theory and Combinatorial Algorithms with Prof. Reinaldo E. Giudici, Universidad Simón Bolívar, 1987.
- Primality Testing and Factorization Algorithms with Prof. Reinaldo E. Giudici, Universidad Simón Bolívar, 1989.
- Efficient Imbeddings of Finite Projective Planes, under the guidance of Prof. Arthur T. White, WMU, 1996 to 1998.
- Graph Labelings with Mr. Rikio Ichishima and Dr. Francesc Antoni Muntaner-Batle, since 1998.
- Supervised and worked with Mr. George Kaemmerling on his Master's problem. The resulting monograph presents a systematic search of all the possibilities in regards to realizing (or not) the 1-skelletons of the platonic solids as Cayley Color graphs.
- Research with undergraduate students at UHH: Mr. William Bierman, Ms. Leilani Lee Loy, Ms. Chelsea N. Rice, Mr. Justin DiPaola-Allen and Mr. Tien Chih.
- Research at UHH with Dr. Philippe Binder (Physics) and Dr. Sevki Erdogan (Computer Science).

- Winner of the Colegio Humboldt Scientific Fair "Expo-Ciencia" in 1982 (Biology: The Family of Ovoviviparous Fishes Poecilidae), 1984 (Physics: The Laser), 1985 (Physics: The Telephone).
- Honorary mention during the first Apple Macintosh Applications Contest, Caracas, 1986 (Polar Coordinates Grapher: Polares #4).
- Member of the "Graph Group" of the Universidad Simón Bolívar and the Universidad Metropolitana, Dr. Reinaldo E. Giudici, Ph.D. Chair.
- Member of the honorary student organization L.I.C.U.M. (Laboratory of Investigations in Computing Universidad Metropolitana), Spring 1989 and Director of Research fall 1989.
- Member of the Pi Mu Epsilon chapter at WMU.
- Member of the American Mathematical Society.
- Member of the Institute of Combinatorics and its Applications, since December 1996, Associate Fellow since 2000.
- Member of the Caribbean Latin American Club of WMU since 1991. Secretary 1992-1993.
- Member of the Hispanic Student Organization of WMU 1991-1998. Representative to the Hispanic Leadership Conference, Chicago (1991) and the National Council of La Raza Conference (1993).
- Advisor to H.O.T. (Hispanics of Today) of PSU, 1998-1999. I was nominated for advisor of the year 1998 for my involvement with this student group.
- Advisor to CCCP-MIR Club (Students from the former Soviet Union) of PSU, 2001 to present.
- Faculty member of the Kappa Mu Epsilon Chapter at PSU.
- Nominated by the students of PSU's Mathematics department for Distinguished Faculty Award in 2000 and 2001.
- Selected by the PSU faculty to be a senator at large of the university's faculty senate during the Fall 2000.
- Co-advisor to the UHH Math Club, since Fall 2003.

- Author of the computer program Graph Edit 1.0b, an interactive editor for graphs.
- Author of the program Chromatic, a program for the chromatic polynomial of graphs.
- Author of Whitney, a program for the graphic investigation of chromatic polynomials.
- I have written other programs for Graph Theory including:
- Cycle counting and generation
- Clique counting and generation
- Equivalence Classes of graphs
- Generation of all non-isomorphic Bipartite Graphs of a given order
- Generation of all non-isomorphic Regular Graphs of a given order
- Generation of Cage graphs of a given order and girth
- Generation of Caley graphs
- Generation of Paley graphs
- Graph Imbeddings through Rotational Schemes
- Generation of Super Edge-magic Labelings of graphs

- Desktop publishing (Freehand, Photoshop, Page Maker, InDesign, etc.)
- Internet homepage design (Dreamweaver, GoLive Cyber Studio, etc.)
- Word processing
- Mathematical typesetting (LaTeX)
- Networking and network administration
- Email and various mail systems and servers (UNIX, VMS)
- Computer languages including, but not limited to, Pascal, C++, Fortan and Assembly
- Mathematical applications including, but not limited to, Maple and Matlab

Spoken: Spanish, English

Reading: French, German, Italian and Portuguese

Page updated: Tuesday, October 10, 2006 3:32 PM HST |