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in todays jolly wrath of math lesson well be taking a look at these five sequences and determining which ones are graphical as in which ones are the degree sequence of some graph now theres a very powerful theorem we can use to determine whether or not a sequence is graphical but were going to use more elementary methods just to get a good feel for some basic ways we may determine whether or not a sequence is graphical however we will sort of introduce the theorem for our last sequence and well prove it in a future lesson so if you need more of an intro to degree sequences check the description there will be a link to my lesson introducing the topic recall that the degree sequence of a graph is just the sequence of the degrees of the vertices of the graph to make it unique we may require that the degree sequence be non-increasing so here weve got five non-increasing sequences and of course if we have a graph its very easy to write its degree sequence you just write out the non-
