Math Problem Statement
Kerjakan soal tersebut dengan runtut, rinci, jelas dan mudah dipahami serta sesuai dengan ketentuan materi spanning tree. Tunjukkan gambar spinning tree yang dihasilkan oleh jawaban tersebut.
Solution
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Math Problem Analysis
Mathematical Concepts
Graph Theory
Minimum Spanning Tree
Kruskal's Algorithm
Prim's Algorithm
Shortest Path
Dijkstra's Algorithm
Formulas
Edge Selection based on minimum weight (Kruskal)
Greedy approach to add minimum weight edges connected to the growing tree (Prim)
Distance formula for shortest path in weighted graphs (Dijkstra)
Theorems
Minimum Spanning Tree Theorem
Dijkstra's Theorem
Suitable Grade Level
Undergraduate Computer Science or Discrete Mathematics
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