mst 1

[์•Œ๊ณ ๋ฆฌ์ฆ˜] MST(Minimum Spanning Tree, ์ตœ์†Œ ์‹ ์žฅ ํŠธ๋ฆฌ) - Prim(ํ”„๋ฆผ), Kruskal(ํฌ๋ฃจ์Šค์นผ) ์•Œ๊ณ ๋ฆฌ์ฆ˜

๋ชฉ์ฐจ Spanning Tree ๊ฐœ๋… MST(์ตœ์†Œ ์‹ ์žฅ ํŠธ๋ฆฌ) ๊ฐœ๋… Prim's Algorithm Kruskal's Algorithm Spanning Tree (์‹ ์žฅ ํŠธ๋ฆฌ) ๊ทธ๋ž˜ํ”„ ๋‚ด์˜ ๋ชจ๋“  ์ •์ ๋“ค์„ ํฌํ•จํ•˜๋Š” ๊ทธ๋ž˜ํ”„์˜ ๋ถ€๋ถ„์ง‘ํ•ฉ(subgraph) Tree ์ตœ์†Œํ•œ์˜ ๊ฐ„์„ ๋“ค๋กœ ๊ทธ๋ž˜ํ”„ ๋‚ด์˜ ๋ชจ๋“  ์ •์ ์„ ํฌํ•จ - ๋”ฐ๋ผ์„œ Spanning Tree๋Š” cycle์„ ํฌํ•จํ•˜์ง€ ์•Š์Œ - ๊ทธ๋ž˜ํ”„ ๋‚ด์˜ ์ •์ ์˜ ์ˆ˜๊ฐ€ n๊ฐœ์ด๋ฉด, Spanning Tree๋Š” (n-1) ๊ฐœ์˜ ๊ฐ„์„ ์„ ๊ฐ€์ง ํ•œ ๊ทธ๋ž˜ํ”„ ๋‚ด์˜ ์—ฌ๋Ÿฌ ๊ฐœ์˜ Spanning Tree๊ฐ€ ์žˆ์„ ์ˆ˜ ์žˆ์Œ MST (Minimum Spanning Tree, ์ตœ์†Œ ์‹ ์žฅ ํŠธ๋ฆฌ) ๊ฐ€์ค‘์น˜๊ฐ€ ์žˆ๋Š” ๊ทธ๋ž˜ํ”„(weighted graph)์—์„œ ์ตœ์†Œ ๊ฐ€์ค‘์น˜๋ฅผ ๊ฐ€์ง„ Spanning Tree ์ฆ‰, ํ•œ ๊ทธ๋ž˜ํ”„ ๋‚ด..