Edmonds-Karp
ย - Last update: 2023-08-08

Edmonds-Karp

Ford-Fulkerson ๋ฐฉ๋ฒ•์„ BFS๋กœ ๊ตฌํ˜„ํ•œ ๊ฒƒ์„ Edmonds-Karp Algorithm์ด๋ผ๊ณ  ํ•œ๋‹ค.

Time Complexity

  • Basic Flow Algorithm (Reference): O(fE)O(fE)
  • Worst: O(VE2)O(VE^2) (์ƒํ•œ - ์‹ค์ œ๋กœ๋Š” ๋” ๋น ๋ฅด๋‹ค.)
    • ์ฆ๊ฐ€ ๊ฒฝ๋กœ๋ฅผ ์ตœ๋Œ€ VEVE ๋ฒˆ ์ด์ƒ ์ฐพ์ง€ ์•Š๊ณ (์ฆ๋ช…๋˜์–ด ์žˆ์Œ), ํ•œ๋ฒˆ ์ฐพ์„๋•Œ ์ตœ๋Œ€ EE ๊ฐœ์˜ Edge๋ฅผ ๊ฑฐ์น  ์ˆ˜ ์žˆ์œผ๋ฏ€๋กœ ๋‚˜์˜ค๋Š” ์‹œ๊ฐ„๋ณต์žก๋„