4.) Determine whether there is a graph with the given conditions. In each case, if such graph, or explain why no graph exists, either draw the graph exists. Such 1.) A graph with degree sequence (4,3,2,2, 2, 1). 2.) A simple graph with degree sequence (4,4,3,3,1). 3.) A digraph with in-degree (3, 1, 1, 1) and out-degree (0,2,2,2) (u 4.) A tree with deares

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 18E
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4.) Determine whether there is a graph with the given conditions,
In each case, if such a graph exists, either draw the
graph, or explain why no such graph exists.
1.) A graph with degree sequence (4, 3, 2, 2, 2, 1).
2.) A simple graph with degree sequence (4,4,3,3,1).
3.) A digraph with in-degree (3,1,1,1) and out-degree (0,2,2,2)
4) A tree with degree sequence (4,3,2,1,1,1).
Transcribed Image Text:4.) Determine whether there is a graph with the given conditions, In each case, if such a graph exists, either draw the graph, or explain why no such graph exists. 1.) A graph with degree sequence (4, 3, 2, 2, 2, 1). 2.) A simple graph with degree sequence (4,4,3,3,1). 3.) A digraph with in-degree (3,1,1,1) and out-degree (0,2,2,2) 4) A tree with degree sequence (4,3,2,1,1,1).
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