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graph theory question from 2009 is a short question and it covers the basics of working with graphs and in particular the degree sequence give a grant given a graph G has degree sequence 4 3 3 2 1 1 how many vertices are there in G how many items are here 1 2 3 4 5 6 there are 6 vertices in graph G the second part is find the number of edges in G explaining how you obtained the answer ok lets say first off well essentially what were going to do is we are going to sum up to the gree sequence 4 plus 3 plus 3 plus 2 plus 1 plus 1 so that is equal to 14 so the sum of the degree sequence divided by 2 number of edges is 14 divided by 2 thats equal to 7 so there are 7 edges in all so this is not asked for but Im just going to do it as a quick exercise lets try out the graph so this is going to be well start off with a a and vertex with the highest degree sequence for now lets just make see if we can have a lets make this one a 3 so hands I could just like 4 and set those two together