21�¢‹ICOE�u�î•ñ‰ÈŠw‹Z�p�í—ªƒRƒA�v


COE’´ƒ�ƒoƒXƒgŠô‰½ŒvŽZ�E—ÊŽqŒvŽZ�‡“¯ƒZƒ~ƒi�[

“úŽž�F2006”N6ŒŽ23“ú�i‹à�j�@13:30-14:30
�ê�Š�F�HŠw•”‚P‚S�†ŠÙ‚UŠKŒv�”‘åƒZƒ~ƒi�[Žº�i‚U‚Q‚U�†Žº�j
�u‰‰ŽÒ�FDavid Avis �iƒJƒiƒ_�Eƒ}ƒMƒ‹‘åŠw‹³Žö�j


ŠT—v

�u‰‰ŽÒ�FDavid Avis �iƒJƒiƒ_�Eƒ}ƒMƒ‹‘åŠw‹³Žö�j

Title: Geometric Enumeration Problems

Abstract:
In this talk we review the reverse search method for generating large sets of discrete objects. An easy use of reverse search is to generate all bases of a matroid, such as spanning trees of a graph. We will then combine reverse search with some properties of matroids to give a method for generating objects, which do not form a matroid, but are closely related to one. As an example, we can generate efficiently all planar Laman graphs drawn on a given set of points in the plane. (Joint work with N. Katoh, M. Ohsaki, I. Streinu and S. Tanigawa)

˜A—��æ�F�™Œ´Œú‹g�i“à�ü‚Q‚U‚X‚O‚T�j


ŽÀ�s‘g�Dƒvƒ�ƒWƒFƒNƒgŠT—vƒvƒ�ƒWƒFƒNƒg�Ú�׎ó�Ü‚Ì�Љî‰ï‹c�EŠÖ˜A�sŽ–What's New—š—ð‚¨–â‚¢�‡‚¹
�iC�j Copyright 2006 Information Science and Technology Strategic Core All Rights Reserved.