Algebraic and Extremal Graph Theory Conference

为期4天的代数和极值图论课程将于2017年8月7日星期一至8月10日星期四在特拉华大学举行。受邀发言者在这一领域作出了重要贡献。仅举这些贡献中的一小部分，研究由谱和共谱图确定的图的计划在这一领域取得了一致和实质性的进展，最近关于几乎所有的图都由它们的谱确定的猜想在这一领域产生了更多的创造性努力。由线性方程组构造图是在给定围长的图的Turan型问题领域的一项突破，这种构造的应用和推广这种构造的潜力正在迅速增长。预计将有50-60名与会者出席，其中10-12场受邀演讲，16-18场贡献演讲。研究人员将提出新的结果，并计划在会谈之间进行非正式讨论的时间。代数和极值图论是组合学的重要领域，具有很大的共生关系。这些领域的成果和技术已成功地应用于数学、计算机科学和工程领域。例如，当前搜索引擎使用的网页排名方法使用代数图论中的光谱技术。利用有限域上的方程组的代数构造，得到了关于密度和周长的最优图的最佳构造。重要的是继续扩大、深化和拓宽这些领域的研究，这次会议就是朝着这个方向迈出的一步。代数和极值图论领域的专家将与初级参与者聚集在一起，包括本科生和研究生、博士后和早期职业教师。这次会议的重点是团结不同背景和兴趣的人。将积极招募来自科学界历史上代表性不足的群体的参与者。

A 4-day Algebraic and Extremal Graph Theory will be hosted at the University of Delaware during the time period from Monday, August 7 to Thursday, August 10, 2017. The invited speakers have made important contributions in this field. To only mention just a few of these contributions, the program on studying graphs determined by spectrum and cospectral graphs has led to consistent and substantial progress in this area and the recent conjecture that almost all graphs are determined by their spectrum has generated even more creative effort in this area. Constructions of graphs from linear systems of equations are a breakthrough in the area of Turan-type problems for graphs with given girth and the applications of such constructions and the potential from extending or generalizing such constructions is growing rapidly. Attendance of 50-60 participants is expected, with 10-12 invited talks and 16-18 contributed talks. Researchers will present new results and time for informal discussions between talks is planned.Algebraic and extremal graph theory are important areas of combinatorics with a great symbiotic relationship. Results and techniques from these areas have been applied successfully in mathematics, computer science and engineering. For example, ranking web-pages methods used by current search engines use spectral techniques from algebraic graph theory. The best constructions of optimal graphs in terms of density and girth are obtained using algebraic constructions using systems of equations over finite fields. It is important to continue to expand, deepen and broaden the research in these areas and this conference is a step in this direction. Experts in the areas of algebraic and extremal graph theory will be brought together with junior participants including undergraduate and graduate students, postdocs and early career faculty. This conference will focus on uniting people with a variety of backgrounds and interests. Participants from groups that are historically underrepresented in the sciences will be actively recruited.