CombinaTexas: A Combinatorics Conference for the South-Central U.S.

主要研究人员：严华飞提案编号：DMS-0300205机构：德克萨斯A&A；M大学组合学摘要德克萨斯：美国中南部的组合学会议德克萨斯A&M大学和德克萨斯州立大学数学系将在2003-2005年3-4月举办年度组合学会议，这是2000年发起的组合德克萨斯系列的一部分。德克萨斯州联合大学一直是美国中南部不断扩大的组合学研究人员群体的重要聚集地。2003年4月5-6日在美国西南得克萨斯州立大学举行的《德州组合03》将集中讨论图论及其应用。该项目由国际公认的研究人员进行了七次一小时的演讲，主题包括计算图论、拓扑图论、随机图及其在算法、几何和数论中的应用。还将举行简短的交流、海报会议和社交活动，以鼓励参与者之间的沟通和合作。为了与建设研究基础设施的目标保持一致，目标受众是高级研究生和初级教员。2004年和2005年的会议将采用类似的形式；2004年的会议将集中讨论代数组合学和算法，2005年的会议将集中讨论概率方法和组合数理论。最近在图形绘制、随机图形和计算机辅助微芯片设计方面取得了巨大的进展。图论及其应用的持续研究将有助于互联网建模、算法设计和生物信息学的进步；每个领域都是独立的和强烈的兴趣。联合德克萨斯系列已成为上述领域的一项主要区域研究和教育活动，受到参与者和受益者的欢迎和支持。德克萨斯州将继续扩大和多样化参与，并加强研究和教育的基础设施。

Principal Investigator: Huafei C. YanProposal Number: DMS- 0300205Institution: Texas A& M University Abstract for CombinaTexas: A Combinatorics Conference for the South-Central U.S.The Departments of Mathematics at Texas A\&M University and Southwest Texas State University will host annual combinatorics conferences in March or April of the years 2003-2005, as part of the CombinaTexas series initiated in 2000. CombinaTexas has served as an important meeting place for the expanding group of researchers in combinatorics in the South-Central United States. CombinaTexas'03, to be held at Southwest Texas State University on April 5-6, 2003, will focus on Graph Theory and its Applications. The program is built around seven one-hour talks delivered by internationally recognized researchers on topics including Computational Graph Theory, Topological Graph Theory, Random Graphs; and their applications to Algorithms, Geometry, and Number Theory. There will also be short communications, poster sessions and social events to encourage communication and collaboration among participants. To be consistent with the goal of building research infrastructure, the target audience is advanced graduate students and junior faculty. The 2004 and 2005 conferences will be formatted similarly; the 2004 conference will focus on Algebraic Combinatorics and Algorithms, and the 2005 conference will focus on Probabilistic Methods and Combinatorial Number Theory.The recent progress in graph drawing, random graphs, and computer-aided microchip design has been dramatic. Continuing research in graph theory and its applications will contribute advances in internet modeling, algorithm design, and bioinfomatics; each area is of independent and intense interest. The CombinaTexas series has become a major regional research and educational activity in the above areas, which is welcomed and supported by its participants and beneficiaries. CombinaTexas will continue to broaden and diversify participation and to enhance the infrastructure for research and education.