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VÃctor Neumann-Lara (1933–2004) was a Mexican
A short biography in Spanish
Graph Theory white pages
* * {{DEFAULTSORT:Neumann-Lara, Victor 1933 births 2004 deaths 20th-century Mexican mathematicians Graph theorists Topologists National Autonomous University of Mexico alumni Mexican people of German descent People from Huejutla de Reyes National Autonomous University of Mexico faculty
VÃctor Neumann-Lara (1933–2004) was a Mexican mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
, pioneer in the field of graph theory
In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are conne ...
in Mexico
Mexico (Spanish: México), officially the United Mexican States, is a country in the southern portion of North America. It is bordered to the north by the United States; to the south and west by the Pacific Ocean; to the southeast by Guatema ...
. His work also covers general topology
In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology, geomet ...
, game theory
Game theory is the study of mathematical models of strategic interactions among rational agents. Myerson, Roger B. (1991). ''Game Theory: Analysis of Conflict,'' Harvard University Press, p.&nbs1 Chapter-preview links, ppvii–xi It has appli ...
and combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many appl ...
.
Biography
Born in the city ofHuejutla de Reyes
Huejutla de Reyes is a city and one of the 84 municipalities of Hidalgo, in central-eastern Mexico. The name comes from the Nahuatl ''huexotl'' ("willow") and ''tlan'' ("place"), while "de Reyes" commemorates local cobbler Antonio Reyes Cabrera who ...
, Hidalgo
Hidalgo may refer to:
People
* Hidalgo (nobility), members of the Spanish nobility
* Hidalgo (surname)
Places
Mexico
* Hidalgo (state), in central Mexico
* Hidalgo, Coahuila, a town in the north Mexican state of Coahuila
* Hidalgo, Nuevo Leà ...
, Mexico
Mexico (Spanish: México), officially the United Mexican States, is a country in the southern portion of North America. It is bordered to the north by the United States; to the south and west by the Pacific Ocean; to the southeast by Guatema ...
, he soon moved to Mexico City
Mexico City ( es, link=no, Ciudad de México, ; abbr.: CDMX; Nahuatl: ''Altepetl Mexico'') is the capital and largest city of Mexico, and the most populous city in North America. One of the world's alpha cities, it is located in the Valley o ...
, where he received his bachelor's degree in mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
from the School of Sciences, UNAM
The National Autonomous University of Mexico ( es, Universidad Nacional Autónoma de México, UNAM) is a public research university in Mexico. It is consistently ranked as one of the best universities in Latin America, where it's also the bigges ...
.
His life was greatly devoted to teaching, giving over 100 courses in Mexico and around the world, and introducing new teaching method
A teaching method comprises the principles and methods used by teachers to enable student learning. These strategies are determined partly on subject matter to be taught and partly by the nature of the learner. For a particular teaching method t ...
s. He carried color chalks with him all the time, and was prompt to give graphic explanations.
Work
Full Professor at Institute of Mathematics,UNAM
The National Autonomous University of Mexico ( es, Universidad Nacional Autónoma de México, UNAM) is a public research university in Mexico. It is consistently ranked as one of the best universities in Latin America, where it's also the bigges ...
, 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, which will eventually be used in kernel theory and tournament theory Tournament theory is the theory in personnel economics used to describe certain situations where wage differences are based not on marginal productivity but instead upon relative differences between the individuals. This theory was invented by econo ...
.
Selected publications
* Francisco Larrión, VÃctor Neumann-Lara, Miguel A. Pizaña, Thomas Dale Porter "A hierarchy of self-clique graphs" ''Discrete Mathematics
Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous f ...
'' 282(1–3): 193–208 (2004)
* M. E. FrÃas-Armenta, VÃctor Neumann-Lara, Miguel A. Pizaña "Dismantlings and iterated clique graphs" ''Discrete Mathematics'' 282(1–3): 263–265 (2004)
* Xueliang Li, VÃctor 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, VÃctor Neumann-Lara "An Anti-Ramsey Theorem" ''Combinatorica'' 22(3): 445–449 (2002)
* Francisco Larrión, VÃctor Neumann-Lara "On clique divergent graphs with linear growth" ''Discrete Mathematics'' 245(1–3): 139–153 (2002)
* Francisco Larrión, VÃctor Neumann-Lara, Miguel A. Pizaña "Whitney triangulations, local girth and iterated clique graphs" ''Discrete Mathematics'' 258(1–3): 123–135 (2002)
* Francisco Larrión, VÃctor Neumann-Lara, Miguel A. Pizaña "On the homotopy type of the clique graph" ''J. Braz. Comp. Soc.'' 7(3): 69–73 (2001)
* Francisco Larrión, VÃctor Neumann-Lara "Locally C6 graphs are clique divergent" ''Discrete Mathematics'' 215: 159–170 (2000)
* Manuel Abellanas, G. Hernandez, Rolf Klein, VÃctor Neumann-Lara, Jorge Urrutia
Jorge Urrutia Blondel (September 17, 1905 – July 5, 1981), was a Chilean composer, educator and writer, born in 1905. He has composed ballet music, symphonic poems, and works for piano and for voice. He is regarded as a Chilean nationalist in ...
"A Combinatorial Property of Convex Sets" ''Discrete & Computational Geometry'' 17(3): 307–318 (1997)
* Manuel Abellanas, G. Hernandez, Rolf Klein, VÃctor Neumann-Lara, Jorge Urrutia
Jorge Urrutia Blondel (September 17, 1905 – July 5, 1981), was a Chilean composer, educator and writer, born in 1905. He has composed ballet music, symphonic poems, and works for piano and for voice. He is regarded as a Chilean nationalist in ...
"Voronoi Diagrams and Containment of Families of Convex Sets on the Plane" ''Symposium on Computational Geometry'' 71–78 (1995)
* Jorge L. Arocha, Javier Bracho, VÃctor Neumann-Lara "Tight and Untight Triangulations of Surfaces by Complete Graphs" ''J. Comb. Theory, Ser. B'' 63(2): 185–199 (1995)
* VÃctor Neumann-Lara, Eduardo Rivera-Campo "Spanning trees with bounded degrees" ''Combinatorica'' 11(1): 55–61 (1991)
* Roland Häggkvist, Pavol Hell
Pavol Hell is a Canadian mathematician and computer scientist, born in Czechoslovakia. He is a professor of computing science at Simon Fraser University. Hell started his mathematical studies at Charles University in Prague, and moved to Canada in ...
, Donald J. Miller, VÃctor Neumann-Lara "On multiplicative graphs and the product conjecture" ''Combinatorica'' 8(1): 63–74 (1988)
* VÃctor Neumann-Lara, H. Galeana-Sánchez "On kernel-perfect critical digraphs" ''Discrete Math.'' 59: 257–265 (1986)
* VÃctor Neumann-Lara, N. Santorro, Jorge Urrutia
Jorge Urrutia Blondel (September 17, 1905 – July 5, 1981), was a Chilean composer, educator and writer, born in 1905. He has composed ballet music, symphonic poems, and works for piano and for voice. He is regarded as a Chilean nationalist in ...
"Uniquely colourable m-dichromatic oriented graphs" ''Discrete Math.'' 62: 65–70 (1986)
* VÃctor Neumann-Lara, Luis Montejano "A variation of Menger's theorem for long paths" ''J. Combin. Theory Ser. B'' 36: 213–217 (1984)
* VÃctor Neumann-Lara, Jorge Urrutia
Jorge Urrutia Blondel (September 17, 1905 – July 5, 1981), was a Chilean composer, educator and writer, born in 1905. He has composed ballet music, symphonic poems, and works for piano and for voice. He is regarded as a Chilean nationalist in ...
"Vertex critical r-dichromatic tournaments" ''Discrete Math.'' 49: 83–87 (1984)
* VÃctor Neumann-Lara, H. Galeana-Sanchez "On kernels and semikernels of digraphs" ''Discrete Math.'' 48: 67–76 (1984)
* VÃctor Neumann-Lara "The dichromatic number of a digraph" ''J. Combin. Theory Ser. B'' 33: 265–270 (1982)
* VÃctor Neumann-Lara "k-Hamiltonian graphs with given girth" ''Colloq. Math. Soc. János Bolyai'' 10: 1133–1142 (1975)
References
A short biography in Spanish
External links
Graph Theory white pages
* * {{DEFAULTSORT:Neumann-Lara, Victor 1933 births 2004 deaths 20th-century Mexican mathematicians Graph theorists Topologists National Autonomous University of Mexico alumni Mexican people of German descent People from Huejutla de Reyes National Autonomous University of Mexico faculty