© Philip B. Yasskin, 2008-11.
Last updated March 20, 2011
Credit:
The speakers attended the Circle on the Road Workshop at the University of Houston on March 18-20, 2011 sponsored by the Mathematical Sciences Research Institute including the Julia Robinson Mathematics Festival on March 19, 2011. At the Festival, Sam Vandervelde lead the Multiplication Graphs activity and Tingting Ma served as his Apprentice. That activity will be repeated at this BVMTC meeting. With Sam's permission, we include his abstract and attachments here.
Abstract
A multiplication graph is formed by choosing a positive integer n, numbering a collection of n-1 points from 1 to n-1, then drawing an edge between any two points whose product is a multiple of n. We will investigate the types of graphs that can (or cannot) be obtained in this manner and study other properties of these graphs. The circle will emphasize the research process, with plenty of opportunity for conjecture, proof, and/or refutation. We will also indicate towards the end of the circle how this topic is related to a current area of active research known as zero divisor graphs.
© Philip B. Yasskin, 2008-11.
Last updated March 20, 2011