Consider the following graph. • V(G) = {v1, v2, v3, v4} e(G) = {e1, e2, e3, e4, e5} E(G) = {(e1, [v1, v2]), (e2, [v2, v3]), (e3, [v3, v4]), (e4, (v4, v1)), (e5, [v1, v3])} Draw a picture of the graph on scratch paper to help you answer the following two questions 1. How many edges are in a spanning tree for graph G? 2. What is the weight of a minimum-weight spanning tree for the graph G if the weight of an is defined to be W (e;) = [/ ]? Note: In Q2, the edge weight is the floor of i ÷ 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following graph.
• V(G) = {v1, v2, v3, v4}
e(G) = {e1, e2, e3, e4, e5}
• E(G) = {(e1, [v1, v2]), (e2, [v2, v3]), (e3, [v3, v4]), (e4, (v4, v1)), (e5, [v1, v3])}
Draw a picture of the graph on scratch paper to help you answer the following two questions.
1. How many edges are in a spanning tree for graph G?
2. What is the weight of a minimum-weight spanning tree for the graph G if the weight of an edge
is defined to be W (ei) = []?
Note: In Q2, the edge weight is the floor of i÷ 2.
Transcribed Image Text:Consider the following graph. • V(G) = {v1, v2, v3, v4} e(G) = {e1, e2, e3, e4, e5} • E(G) = {(e1, [v1, v2]), (e2, [v2, v3]), (e3, [v3, v4]), (e4, (v4, v1)), (e5, [v1, v3])} Draw a picture of the graph on scratch paper to help you answer the following two questions. 1. How many edges are in a spanning tree for graph G? 2. What is the weight of a minimum-weight spanning tree for the graph G if the weight of an edge is defined to be W (ei) = []? Note: In Q2, the edge weight is the floor of i÷ 2.
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