(A) Find the degree sequence of the following graph: (B) Find the degree sequences of K4, C4, and W4. (C) Can you draw a graph whose degree sequence is 3, 1, 1? Please either draw the graph or prove that it does not exist.
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2) A Draw a graph with a degree sequence, D=(4,3 , 3 , 2 2 ) B) Find the degree sequence of its complementary graph. C) Draw the complementary graph: D) Find the adjacency matrix for the complementary graph
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A sequence $d_{1}, d_{2}, \ldots, d_{n}$ is called graphic if it is the degree sequence of a simple graph. Determine whether each of these sequences is graphic. For those that are, draw a graph having the given degree sequence. a) 5, 4, 3, 2, 1, 0 b) 6, 5, 4, 3, 2, 1 c) 2, 2, 2, 2, 2, 2 d) 3, 3, 3, 2, 2, 2 e) 3, 3, 2, 2, 2, 2 f ) 1, 1, 1, 1, 1, 1 g) 5, 3, 3, 3, 3, 3 h) 5, 5, 4, 3, 2, 1
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Graph Terminology and Special Types of Graphs
The degree sequence of a graph is the sequence of the degrees of the vertices of the graph in nonincreasing order. For example, the degree sequence of the graph G in Example 1 is 4, 4, 4, 3, 2, 1, 0. Find the degree sequences for each of the graphs in Exercises 21–25.
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