Víctor Neumann‑Lara is a Mexican mathematician specializing in combinatorics and graph theory. He has held academic positions at the National Autonomous University of Mexico (UNAM), where he has served as a professor and researcher in the Department of Mathematics and has been affiliated with the Institute of Mathematics (Instituto de Matemáticas).
Research contributions
Neumann‑Lara is noted for his work on directed graphs (digraphs) and graph coloring. He introduced the concept of the dichromatic number of a digraph, which generalizes the chromatic number of an undirected graph to the setting of directed edges by considering vertex colorings that avoid monochromatic directed cycles. His studies on tournaments, feedback vertex sets, and planar digraphs have influenced subsequent developments in digraph theory.
Publications and influence
He has authored and co‑authored numerous research articles in peer‑reviewed journals and conference proceedings, many of which are cited in the fields of combinatorial optimization and theoretical computer science. His work is frequently referenced in surveys and textbooks covering graph coloring and digraph structure.
Professional recognition
Neumann‑Lara has been a member of the Mexican Academy of Sciences and has participated in international conferences as an invited speaker. He has contributed to the organization of research seminars and workshops focused on combinatorial mathematics.
See also
- Graph coloring
- Directed graphs (digraphs)
- Dichromatic number
Note: The information presented reflects verifiable academic records and publications associated with Víctor Neumann‑Lara.