> #THE NUMBER OF ATTENDANCE QUESTIONS WERE: 7 ; > ; > #Q1 ; > #Who invented Latin squares and Latin-Greco squares? What are they? ; > ; > #Leonhard Euler ; > #In combinatorics and in experimental design, a Latin square is an n ¡Á n array filled with n different symbols, each occurring exactly #once in each row and exactly once in each column. An example of a 3¡Á3 Latin square is > > #A B C > #C A B > #B C A > #The name "Latin square" was inspired by mathematical papers by Leonhard Euler (1707¨C1783), who used Latin characters as symbols,[1] but #any set of symbols can be used: in the above example, the alphabetic sequence A, B, C can be replaced by the integer sequence 1, 2, 3. #Euler began the general theory of Latin squares. ; > ; > #Q2 ; > #What is nops(AllGraphs(20))? ; > #2^190 ; > ; > #Q3 ; > #What is CC(G,38)? ; > > #{1} ; > ; > #Q4 ; > #Is [1,1,4,38,728] in the OEIS? What is its A-number? ; > > #Yes, THE A number is A001187 ; > ; > #Q5 ; > > #Given graph G=[{4,8}, {7}, {5,9}, {1,6}, {3,7,10}, {4,9}, {2,5}, {1}, {3,6}, {5}] Draw G. ; > ; > #8-1-4-6-9-3-5-10-7-2 ; > ; > #Q6 ; > #Is this sequence in the OEIS? What's its A number? ; > ; > #A272: Number of trees on n labeled nodes: n^(n-2) with a(0)=1. ; > ; > #Q7 ; > #Is this sequence in the OEIS? What's its A number? ; > ; > #A57500: Number of connected labeled graphs with n edges and n nodes. ;