In the past few years the number of combinatorialists has increased
dramatically in the south-central U.S. The CombinaTexas conferences were
established to provide a regular gathering place and to facilitate
collaboration among individual researchers at schools in Texas
and surrounding states. The conference series started in the year 2000,
and since then has been held annually at higher-education institutions in
Its aim is to increase communication between mathematicians
in the region, promote the research of the regional combinatorics
community, and provide a forum for presentation and discussion
of the developments in the field of combinatorics.
The conference topics are both theoretical aspects and applications of
Combinatorics, Graph Theory, and Computing. Original
research, as well as expository surveys, are all welcomed. We particularly
encourage presentations on new developments of the subject.
Typical areas include (but are not limited to):
To better organize the series, from the year 2002
each conference will have a special focus. The special focus is chosen
from among topics representative of research groups in the
area and should provide an insightful look at a topic from different
aspects. All of the invited speakers will present work related to the conference
focus, while the organizing
committee is flexible and open with respect to the contributed talks.
The special focus of CombinaTexas'03 was Graph Theory and its Applications,
and the special focus of CombinaTexas'04 is Algebraic Methods in Combinatorics
and Combinatorial Optimization.
- Combinatorics: enumeration & asymptotics, partitions, combinatorial
identities, bijective proofs.
- Graph theory: graph structures, coloring and labeling, computational
graph theory, topological graph theory, random graphs, and graph algorithms.
- Designs and configurations: block designs, matrix analysis, finite geometry, matroid theory, packing and covering.
- Algebraic combinatorics: symmetric functions, representation theory,
orthogonal polynomials, algebraic geometry.
- Extremal combinatorics: extremal set theory, Ramsey theory, and probabilistic methods.
- Applications: networks and algorithms, combinatorial optimization,
combinatorial game theory; applications to biology, homeland security and