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3. In each case below, either draw a graph with the requ ired properties, or prove that it does not exist. Base your answers on the results of Lect ure-Workshop 9. (a) A tree with 8 vertices whose degrees are 1,1,1,1,2,2,3, 3. (b) A tree with 8 vertices whose degrees are 1,1,1,2,2,2,3,4. (c) A graph with 6 vertices whose degrees are 1,1,2,2, 2, 3. (d) A graph with no loops or multiple edges which h as 8 vertices whose degrees are 1,2,2,2,3,3,3,4.

3. In each case below, either draw a graph with the requ ired properties, or prove that it does not exist. Base your answers on the results of Lect ure-Workshop 9. (a) A tree with 8 vertices whose degrees are 1,1,1,1,2,2,3, 3. (b) A tree with 8 vertices whose degrees are 1,1,1,2,2,2,3,4. (c) A graph with 6 vertices whose degrees are 1,1,2,2, 2, 3. (d) A graph with no loops or multiple edges which h as 8 vertices whose degrees are 1,2,2,2,3,3,3,4.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 80EQ
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3. In each case below, either draw a graph with the required properties, or prove that it does not exist. Base your answers on the resu lts of Lect ure-Workshop 9. (a) A tree with 8 vertices whose degrees are 1,1,1,1,2,2,3, 3. (b) A tree with 8 vertices whose degrees are 1,1,1,2,2,2,3,4. (c) A graph with 6 vertices whose deg rees are 1,1,2,2, 2, 3. (d) A graph with no loops or multiple edges which has 8 vertices whose degrees are 1,2, 2,2,3,3,3,4.
Transcribed Image Text:3. In each case below, either draw a graph with the required properties, or prove that it does not exist. Base your answers on the resu lts of Lect ure-Workshop 9. (a) A tree with 8 vertices whose degrees are 1,1,1,1,2,2,3, 3. (b) A tree with 8 vertices whose degrees are 1,1,1,2,2,2,3,4. (c) A graph with 6 vertices whose deg rees are 1,1,2,2, 2, 3. (d) A graph with no loops or multiple edges which has 8 vertices whose degrees are 1,2, 2,2,3,3,3,4.
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