κ·Έλž˜ν”„ μ•Œκ³ λ¦¬μ¦˜Advanced

크루슀칼 μ•Œκ³ λ¦¬μ¦˜

κ°€μ€‘μΉ˜ 무방ν–₯ κ·Έλž˜ν”„μ˜ μ΅œμ†Œ μ‹ μž₯ 트리(MST)λ₯Ό μ°ΎλŠ” μ•Œκ³ λ¦¬μ¦˜μž…λ‹ˆλ‹€. 간선을 κ°€μ€‘μΉ˜ 순으둜 μ •λ ¬ν•˜κ³  사이클을 ν˜•μ„±ν•˜μ§€ μ•ŠλŠ” κ°„μ„ λ§Œ μΆ”κ°€ν•˜λŠ” νƒμš•μ  접근법을 μ‚¬μš©ν•©λ‹ˆλ‹€. 효율적인 사이클 감지λ₯Ό μœ„ν•΄ Union-Findλ₯Ό μ‚¬μš©ν•©λ‹ˆλ‹€. λ„€νŠΈμ›Œν¬ 섀계와 ν΄λŸ¬μŠ€ν„°λ§μ— ν•„μˆ˜μ μž…λ‹ˆλ‹€.

#graph#mst#greedy#union-find

Complexity Analysis

Time (Average)

O(E log E)

Expected case performance

Space

O(V)

Memory requirements

Time (Best)

O(E log E)

Best case performance

Time (Worst)

O(E log E)

Worst case performance

πŸ“š CLRS Reference

Introduction to Algorithmsβ€’Chapter 23β€’Section 23.2

Presets:
Step: 1 / 0
500ms
SlowFast
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Real-time Statistics

Algorithm Performance Metrics

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Steps
1/ 0

Algorithm Visualization

Step 1 of 0

Initialize array to begin

Default
Comparing
Swapped
Sorted

Code Execution

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Implementation

Kruskal's Algorithm - Algorithm Vision