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.
Mathematics Homework Solutions
#223383
Question on chromatic number of graph, adjacency matrix and list.
Please see attached questions.
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.
Basics of chromatic number of graph, adjacency matrix and list are described.
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- Answer2.doc
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