BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Drupal iCal API//EN X-WR-CALNAME:Events items teaser X-WR-TIMEZONE:America/Toronto BEGIN:VTIMEZONE TZID:America/Toronto X-LIC-LOCATION:America/Toronto BEGIN:DAYLIGHT TZNAME:EDT TZOFFSETFROM:-0500 TZOFFSETTO:-0400 DTSTART:20210314T070000 END:DAYLIGHT BEGIN:STANDARD TZNAME:EST TZOFFSETFROM:-0400 TZOFFSETTO:-0500 DTSTART:20211107T060000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT UID:68326df816d6c DTSTART;TZID=America/Toronto:20220131T113000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20220131T113000 URL:/combinatorics-and-optimization/events/algebraic-gr aph-theory-seminar-steve-butler SUMMARY:Algebraic Graph Theory Seminar - Steve Butler CLASS:PUBLIC DESCRIPTION:Summary \n\nTITLE: Hadamard diagonalizable graphs of small ord er\n\nSpeaker:\n Steve Butler\n\nAffiliation:\n Iowa State University\n\nZ oom:\n Contact Sabrina Lato\n\nABSTRACT:\n\nA graph whose Laplacian matrix has a full set of eigenvectors with\nentries in {1\,-1} is said to be Had amard diagonalizable (i.e. there\nexists a Hadamard matrix which diagonali zes the Laplacian matrix). We\ndemonstrate that the only diagonalizable gr aphs on n=8k+4 vertices are\nK_n and K_{n/2\,n/2}.\n DTSTAMP:20250525T011016Z END:VEVENT END:VCALENDAR