Consider the graph G with the adjacency matrix: 0 G is a tree. G is planar. ✔G is connected. 0 G has an Euler circuit. 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0/ Which of the following statements are true about G? Select all that apply 1 1 0 0 0 0 ✔ G is simple. G does not contain a triangle (three mutually-adjacent vertices). G is bipartite.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 69EQ
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Consider the graph G with the adjacency matrix:
0
G is a tree.
G is planar.
✔G is connected.
0
G has an Euler circuit.
0
1
0 0 1 0 0
0 0 1 1 1 1
0 0 0 0 1 1
1 0 0 1 0 0
0 1 1 0000
Which of the following statements are true about G? Select all that apply.
0 1 0 1 0 0 0
0 1 1 0 0 0 0
✔G is simple.
G does not contain a triangle (three mutually-adjacent vertices).
G is bipartite.
Transcribed Image Text:Consider the graph G with the adjacency matrix: 0 G is a tree. G is planar. ✔G is connected. 0 G has an Euler circuit. 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0000 Which of the following statements are true about G? Select all that apply. 0 1 0 1 0 0 0 0 1 1 0 0 0 0 ✔G is simple. G does not contain a triangle (three mutually-adjacent vertices). G is bipartite.
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