Professor Hoffman, Enclosed is the abstract for a paper I would like to present at the 35th SEICGCC. I must request that you schedule this talk befor Friday, as I must fly out Friday morning. Thank you for the time and effort in organizing this conference. Look forward to seeing you again. -- A Time Saving Region Restriction for Calculating the Minimum Crossing Number of Kn Judith R. Fredrickson*; Bei Yuan; Frederick C. Harris, Jr. Department of Computer Science University of Nevada Reno, Nevada 89557 fredrick@cs.unr.edu In 1995 Harris and Harris presented an algorithm for calculating the minimum crossing number of a graph. This was implemented in parallel by Tadjiev and Harris in 1997. Since the algorithm presented builds huge search trees, the need to restrict our search space is very important as graph sizes grow. This paper presents a technique for search space reduction for an algorithm calculating the minimum crossing number of a complete graph. We introduce a restriction on the placement of a new edge in a "good" graph construction. Graph region examination plays a roll in the restriction process. Preliminary results show execution time for calculating the Minimum Crossing Number of K7 has decreased by an order of magnitude when employing this restriction. Keywords: minimum crossing number, complete graph, region restrictions