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Use Kruskal's algorithm to determine a minimum spanning tree of this network. Explain clearly what the algorithm is doing and draw the minimum spanning tree. Show that the spanning tree found in the previous part of the question is the unique minimum spanning tree of the network (G, w).

Use Kruskal's algorithm to determine a minimum spanning tree of this network. Explain clearly what the algorithm is doing and draw the minimum spanning tree. Show that the spanning tree found in the previous part of the question is the unique minimum spanning tree of the network (G, w).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Now consider the network (G, w) such that V(G) = {V₁, V2, V3, V4, V5, V6, V7}, E(G) = {V₁V2, V₁ V3, V2V3, V2V4, V2V5, V3V5, V3V6, V4 V5, V5V6} and w (v₁v₂): = 1, w(v₂v₁) = 2, w(v3v6) = 1, w(v₁v3) = 4, w(v₂v5) = 3, w(v4v5) = 1, w(v2V3) = 4 w (v3v5) = 4 w (v5 V6) = 3. Use Kruskal's algorithm to determine a minimum spanning tree of this network. Explain clearly what the algorithm is doing and draw the minimum spanning tree. Show that the spanning tree found in the previous part of the question is the unique minimum spanning tree of the network (G, w).
Transcribed Image Text:Now consider the network (G, w) such that V(G) = {V₁, V2, V3, V4, V5, V6, V7}, E(G) = {V₁V2, V₁ V3, V2V3, V2V4, V2V5, V3V5, V3V6, V4 V5, V5V6} and w (v₁v₂): = 1, w(v₂v₁) = 2, w(v3v6) = 1, w(v₁v3) = 4, w(v₂v5) = 3, w(v4v5) = 1, w(v2V3) = 4 w (v3v5) = 4 w (v5 V6) = 3. Use Kruskal's algorithm to determine a minimum spanning tree of this network. Explain clearly what the algorithm is doing and draw the minimum spanning tree. Show that the spanning tree found in the previous part of the question is the unique minimum spanning tree of the network (G, w).
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