Mathematical Sciences: Undergraduate Research in Graph Theory and Number Theory

该奖项支持两名本科生研究人员工作 在首席研究员的监督下， 数学的两个领域。 在第一个数论中， 学生将考虑连分数的换算 以整数表示，特别注意涉及 非常小的时期。 工作也将在图论中完成。 这里的研究将集中在多项式不变量： 图的Tutte多项式和单峰性判别图 惠特尼数字 如果时间表允许，网络研究 还将进行可靠性测试。

This award supports two undergraduate researchers working under the supervision of the principal investigator on problems in two areas of mathematics. In the first, number theory, the students will consider convergents of continued fractions reduced by an integer, with special attention paid to cases involving very small periods. Work will also be done in graph theory. Here the research will focus on polynomial invariants: distinguishing graphs by Tutte polynomials and unimodality of Whitney numbers. If the schedule permits, studies of network reliability will also be conducted.