Víctor Neumann-Lara
Encyclopedia
Mexico
The United Mexican States , commonly known as Mexico , is a federal constitutional republic in North America. It is bordered on the north by the United States; on the south and west by the Pacific Ocean; on the southeast by Guatemala, Belize, and the Caribbean Sea; and on the east by the Gulf of...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
, pioneer in the field of graph theory
Graph theory
In mathematics and computer science, graph theory is the study of graphs, mathematical structures used to model pairwise relations between objects from a certain collection. A "graph" in this context refers to a collection of vertices or 'nodes' and a collection of edges that connect pairs of...
in Mexico
Mexico
The United Mexican States , commonly known as Mexico , is a federal constitutional republic in North America. It is bordered on the north by the United States; on the south and west by the Pacific Ocean; on the southeast by Guatemala, Belize, and the Caribbean Sea; and on the east by the Gulf of...
. His work also covers general topology
General topology
In mathematics, general topology or point-set topology is the branch of topology which studies properties of topological spaces and structures defined on them...
, game theory
Game theory
Game theory is a mathematical method for analyzing calculated circumstances, such as in games, where a person’s success is based upon the choices of others...
and combinatorics
Combinatorics
Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size , deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria ,...
. He has an Erdős number
Erdos number
The Erdős number describes the "collaborative distance" between a person and mathematician Paul Erdős, as measured by authorship of mathematical papers.The same principle has been proposed for other eminent persons in other fields.- Overview :...
of 2.
Biography
Born in the city of Huejutla de ReyesHuejutla de Reyes
Huejutla de Reyes is a town and one of the 84 municipalities of Hidalgo, in central-eastern Mexico.The municipality covers an area of 377.8 km². As of 2005, the municipality had a total population of 115,786....
, Hidalgo, Mexico
Mexico
The United Mexican States , commonly known as Mexico , is a federal constitutional republic in North America. It is bordered on the north by the United States; on the south and west by the Pacific Ocean; on the southeast by Guatemala, Belize, and the Caribbean Sea; and on the east by the Gulf of...
, he soon moved to Mexico City
Mexico City
Mexico City is the Federal District , capital of Mexico and seat of the federal powers of the Mexican Union. It is a federal entity within Mexico which is not part of any one of the 31 Mexican states but belongs to the federation as a whole...
where he received his Bachelor's degree in Mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
from the School of Sciences, UNAM
National Autonomous University of Mexico
The Universidad Nacional Autónoma de México is a university in Mexico. UNAM was founded on 22 September 1910 by Justo Sierra as a liberal alternative to the Roman Catholic-sponsored Royal and Pontifical University of Mexico The Universidad Nacional Autónoma de México (UNAM) (National Autonomous...
.
His life was greatly devoted to teaching, giving over 100 courses in Mexico and around the world, and introducing new teaching methods. He carried color chalks with him all the time, and was prompt to give graphic explanations.
Work
Full Professor at Institute of Mathematics, UNAMUnam
UNAM or UNaM may refer to:* National University of Misiones, a National University in Posadas, Argentina*National Autonomous University of Mexico , the large public autonomous university based in Mexico City...
, he directed over 15 theses and taught both in the Institute and in the Faculty of Sciences. Below is a selection of his multiple publications, which earned him over 120 citations from renowned mathematicians in the area of graph theory.
In 1982 he introduced the notion of dichromatic number of a digraph
Directed graph
A directed graph or digraph is a pair G= of:* a set V, whose elements are called vertices or nodes,...
, which will eventually be used in kernel theory and tournament theory
Tournament theory
Tournament theory is the theory in economics used to describe certain situations where wage differences are based not on marginal productivity but instead based upon relative differences between the individuals. This theory was invented by economists Edward Lazear and Sherwin Rosen.Good examples...
.
List of selected publications
- Francisco Larrión, Víctor Neumann-Lara, Miguel A. Pizaña, Thomas Dale Porter "A hierarchy of self-clique graphs" Discrete MathematicsDiscrete Mathematics (journal)Discrete Mathematics is a journal in the broad area of discrete mathematics, combinatorics, graph theory and their applications, published by Elsevier. It publishes both short notes, full length contributions, as well as survey articles. In addition, DM publishes a number of special issues each...
282(1-3): 193-208 (2004)
- M. E. Frías-Armenta, Víctor Neumann-Lara, Miguel A. Pizaña "Dismantlings and iterated clique graphs" Discrete Mathematics 282(1-3): 263-265 (2004)
- Xueliang Li, Víctor Neumann-Lara, Eduardo Rivera-Campo "On a tree graph defined by a set of cycles" Discrete Mathematics 271(1-3): 303-310 (2003)
- Juan José Montellano-Ballesteros, Víctor Neumann-Lara "An Anti-Ramsey Theorem" Combinatorica 22(3): 445-449 (2002)
- Francisco Larrión, Víctor Neumann-Lara "On clique divergent graphs with linear growth" Discrete Mathematics 245(1-3): 139-153 (2002)
- Francisco Larrión, Víctor Neumann-Lara, Miguel A. Pizaña "Whitney triangulations, local girth and iterated clique graphs" Discrete Mathematics 258(1-3): 123-135 (2002)
- Francisco Larrión, Víctor Neumann-Lara, Miguel A. Pizaña "On the homotopy type of the clique graph" J. Braz. Comp. Soc. 7(3): 69-73 (2001)
- Francisco Larrión, Víctor Neumann-Lara "Locally C6 graphs are clique divergent" Discrete Mathematics 215: 159-170 (2000)
- Manuel Abellanas, G. Hernandez, Rolf Klein, Víctor Neumann-Lara, Jorge Urrutia "A Combinatorial Property of Convex Sets" Discrete & Computational Geometry 17(3): 307-318 (1997)
- Manuel Abellanas, G. Hernandez, Rolf Klein, Víctor Neumann-Lara, Jorge Urrutia "Voronoi Diagrams and Containment of Families of Convex Sets on the Plane" Symposium on Computational Geometry 71-78 (1995)
- Jorge L. Arocha, Javier Bracho, Víctor Neumann-Lara "Tight and Untight Triangulations of Surfaces by Complete Graphs" J. Comb. Theory, Ser. B 63(2): 185-199 (1995)
- Víctor Neumann-Lara, Eduardo Rivera-Campo "Spanning trees with bounded degrees" Combinatorica 11(1): 55-61 (1991)
- Roland Häggkvist, Pavol Hell, Donald J. Miller, Víctor Neumann-Lara "On multiplicative graphs and the product conjecture" Combinatorica 8(1): 63-74 (1988)
- Víctor Neumann-Lara, H. Galeana-Sánchez "On kernel-perfect critical digraphs" Discrete Math. 59: 257-265 (1986)
- Víctor Neumann-Lara, N. Santorro, Jorge Urrutia "Uniquely colourable m-dichromatic oriented graphs" Discrete Math. 62: 65-70 (1986)
- Víctor Neumann-Lara, Luis Montejano "A variation of Menger's theorem for long paths" J. Combin. Theory Ser. B 36: 213-217 (1984)
- Víctor Neumann-Lara, Jorge Urrutia "Vertex critical r-dichromatic tournaments" Discrete Math. 49: 83-87 (1984)
- Víctor Neumann-Lara, H. Galeana-Sanchez "On kernels and semikernels of digraphs" Discrete Math. 48: 67-76 (1984)
- Víctor Neumann-Lara "The dichromatic number of a digraph" J. Combin. Theory Ser. B 33: 265-270 (1982)
- Víctor Neumann-Lara "k-Hamiltonian graphs with given girth" Colloq. Math. Soc. Janos Bolyai 10: 1133-1142 (1975)