Assistant Professor
Department of Math and Computer Science
Gonzaga
University
502 E. Boone Ave
Spokane, WA 99258
509-323-3919
villalpando@gonzaga.edu
web02.gonzaga.edu/faculty/villalpando
Education
Ph.D., Mathematical Sciences, December 2002
Concentration: Algebra and Discrete Mathematics
Dissertation: "Graph Parameters: Channel Assignment as Related to L(2,1)-Coloring"
(Advisor: Dr. Renu Laskar)
M.S., Mathematical Sciences, May 1999
Thesis: "Some Computing Aspects of Broadcasting and Gossiping" (Advisor: Dr. Renu Laskar)
B.S., Mathematical Sciences and Visual Arts, May 1996
with honors and minor in Computer Science
Teaching Experience
Gonzaga University, Assistant Professor, 2003 – present
Have taught or am currently teaching the following courses: College Algebra, Calculus I, Mathematical Analysis for business.
Norwalk Community College, Adjunct professor, 2003
Taught the following courses: Basic Math, Introductory Algebra
Clemson University, Teaching Assistant, 1997 – 2002
Taught the following courses: College Algebra, Introduction to Mathematical Analysis, Multivariable Calculus, Introduction to Discrete Methods, Introduction to Probability, Calculus of One Variable.
Research Interests
Graph Theory: colorings and partitions of graphs, domination in graphs, graph algorithms
Combinatorics
Optimization
Communication Networks
Conferences and Seminars
Graph parameters: channel assignment as related to L(2,1)-coloring and domination parameters, Algorithm Seminar at Clemson University, Clemson, South Carolina 2002.
L(2,1)-coloring parameters, DCI 2002 conference on Labelings and Numberings of Graphs at DIMACS center, Rutgers University, Piscataway, New Jersey 2002.
Parameters of cycle-domination, Graduate Student Seminar at Clemson University, Clemson, South Carolina 2002.
Colorings and an application to the channel assignment problem, Thirty-Third Southeastern International Conference on Combinatorics, Graph Theory, and Computing at Florida Atlantic University, Boca Rotan, Florida 2002.
The channel assignment problem and L(2,1)-colorings, Graduate Student Seminar at Clemson University, Clemson, South Carolina 2002.
L(2,1)-colorings and its application to the channel assignment problem, Algebra and Discrete Math Seminar at Clemson University, Clemson, South Carolina 2002.
Degree weighted domination, Thirty-Second Southeastern International Conference on Combinatorics, Graph Theory, and Computing at Louisiana State University, Baton Rouge, Louisiana 2001.
Caratheodory number of the Pfaltz closure in king's graphs, Thirty-First Southeastern International Conference on Combinatorics, Graph Theory, and Computing at Florida Atlantic University, Boca Raton, Florida 2000.
Caratheodory number of the Pfaltz closure in king's graphs, Algebra and Discrete Math Seminar at Clemson University, Clemson, South Carolina 2000.
Arc Length & Uniform Convergence, Florida section MAA meeting, St. Petersburg, Florida 1996.
Surface Layer of a dielectric atmosphere in general relativity, Eighth National Conferences on Undergraduate Research, Western Michigan University, Kalamazoo, Michigan 1994.
Computer Skills
Pascal, C, C++, Maple
Mathematica, Matlab, SAS, SPSS
Statistix, Ampl, Lindo, LaTex
Publications and Current Work
With R. Laskar, Irreducibiltiy of L(2,1)-coloring and inh-colorablity of some classes of graphs, submitted to Discrete Math.
With S. Hedetniemi et al., Gallai type results of graph parameters, to appear in Congressus Numerantium.
With R. Laskar, Degree weight domination, Congressus Numerantium 148 (2001), pp. 103-111.
With R. Jamison and G. Matthrews, Acyclic colorings, in preparation.
With R. Laskar, Inh-colorability of bipartite graphs, in preparation.
Bounds concerning L(2,1)-colorings, in preparation.
Weighted H-domination, in preparation.
Cycle-Domination, in preparation.
Awards
Excellence in Teaching Award, Clemson University Mathematical Sciences Department 2002.
Excellence in Teaching Award, Clemson University Mathematical Sciences Department 2001.
MacDonald Graduate Fellowship, Clemson University, 1997-1998
National Merit Special Honors Scholarship, Eckerd College, 1992 – 1996.
Hispanic National Merit Finalist, 1992
Other Interests
Painting and sculpture
Basketball, ultimate frisbee, and baseball
Chidokwan Karate