#ATTENDANCE QUIZ FOR LECTURE 21 of Dr. Z.'s Math454(02) Rutgers University # Please Edit this .txt page with Answers #Email ShaloshBEkhad@gmail.com #Subject: p21 #with an attachment called #p21FirstLast.txt #(e.g. p21DoronZeilberger.txt) #Right after finishing watching the lecture but no later than Nov. 20, 2020, 8:00pm THE NUMBER OF ATTENDANCE QUESTIONS WERE: PLEASE LIST ALL THE QUESTIONS FOLLOWED, AFTER EACH, BY THE ANSWER Question 1 How many connected graphs are there with 30 vertices and 50 edges Answer 1 616531513027177775473601317524937092680978914590598004251998471840 We use the WtEdConGclever(30, a) Question 2 Find NuKcomp to find the number of labeled connected graph with 50 vertices with 5 components Answer 2 NuKcomp(50, 5)[50] 8478898769087132221372075981319343772340049898599778271771883957\ 75305784916394110747990275055299781322568818279009002885758853\ 48212857384767830040557053247256490676318714477784265805319979\ 12754588338757770602066132091766888900020551743577913219185207\ 70044264772718553756381630036749487602537274670704109302833374\ 82240 Big number Question 3 How many labelled connected graphs are there with 30 vertices and 50 edges? Answer 3 616531513027177775473601317524937092680978914590598004251998471840 We use the WtEdConGclever(30, a) Question 4 For i = 2, 3, 4, 5 Find the OEIS A number (if it exists) of NuKcomp(20, i) What is the smallest i for which it is not in the OEIS? Answer 4 i = 2 A323875 i = 3 A323876 i = 4 A323877 i = 5 dneW