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# chromatic number of graph and adjacency matrix

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This is three questions.
Question #1 - find the chromatic number of the graph.
Question #2 - It might be supposed that if a graph has a large number of vertices and
each vertex has a large degree, then the chromatic number would have to be large. Show
that this conjecture is incorrect by constructing a graph with at least 12 vertices, each of
degree at least 3, that is chromatic number 2.
Need Attached Graph in editable format, i.e. xls, doc, etc.
Question #3 - Find the adjacency matrix and adjacency list for the directed graph in the
indicated exercise. Order the vertices according to alphabetical order.
Let S - {1,2,4,8} and R = {(1,8), (2,4), (8,2), (4,1), (2,2), (8,1)} be the relation
defined S. Draw the directed multigraph of this relation. Need Attached Graph in
editable format, i.e. xls, doc, etc.

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See attached file for diagrams to go along with the solution.