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