Upgrade to Pro — share decks privately, control downloads, hide ads and more …

Floyd-Warshall

Avatar for Chen Chen
November 17, 2022
Science
0
87

 Floyd-Warshall

Avatar for Chen

Chen

November 17, 2022
Tweet

More Decks by Chen

See All by Chen
Example ROP in MIPS
Avatar for Chen tiffany_04192
0
55
defense
Avatar for Chen tiffany_04192
0
72
Dijkstra’s Algorithm
Avatar for Chen tiffany_04192
0
110
Topological sort DFS
Avatar for Chen tiffany_04192
0
92
BFS
Avatar for Chen tiffany_04192
0
130
DFS
Avatar for Chen tiffany_04192
0
110
Cache behavior
Avatar for Chen tiffany_04192
0
83
Cache miss paper
Avatar for Chen tiffany_04192
0
110
Greedy
Avatar for Chen tiffany_04192
0
100

Other Decks in Science

See All in Science
Celebrate UTIG: Staff and Student Awards 2025
Avatar for University of Texas Institute for Geophysics utig
0
280
テンソル分解による糖尿病の組織特異的遺伝子発現の統合解析を用いた関連疾患の予測
Avatar for Y-h. Taguchi tagtag
2
280
データベース10: 拡張実体関連モデル
Avatar for Y. Yamamoto trycycle
PRO
0
1k
SciPyDataJapan 2025
Avatar for k schwalbe10
0
270
MCMCのR-hatは分散分析である
Avatar for Shota Mori moricup
0
480
システム数理と応用分野の未来を切り拓くロードマップ・エンターテインメント(スポーツ)への応用 / Applied mathematics for sports entertainment
Avatar for konakalab konakalab
1
410
高校生就活へのDA導入の提案
Avatar for Shunya Noda shunyanoda
0
6k
Explanatory material
Avatar for InnovativeSpaceCerrier yuki1986
0
410
機械学習 - 決定木からはじめる機械学習
Avatar for Y. Yamamoto trycycle
PRO
0
1.1k
データベース05: SQL(2/3) 結合質問
Avatar for Y. Yamamoto trycycle
PRO
0
820
アナログ計算機『計算尺』を愛でる Midosuji Tech #4/Analog Computing Device Slide Rule now and then
Avatar for quiver quiver
1
310
機械学習 - SVM
Avatar for Y. Yamamoto trycycle
PRO
1
910

Featured

See All Featured
Let's Do A Bunch of Simple Stuff to Make Websites Faster
Avatar for Chris Coyier chriscoyier
508
140k
Keith and Marios Guide to Fast Websites
Avatar for Keith Pitt keithpitt
411
23k
個人開発の失敗を避けるイケてる考え方 / tips for indie hackers
Avatar for panda_program panda_program
116
20k
Java REST API Framework Comparison - PWX 2021
Avatar for Matt Raible mraible
34
8.9k
The Psychology of Web Performance [Beyond Tellerrand 2023]
Avatar for Tammy Everts tammyeverts
49
3.1k
The Cult of Friendly URLs
Avatar for Andy Hume andyhume
79
6.6k
CoffeeScript is Beautiful & I Never Want to Write Plain JavaScript Again
Avatar for Sam Stephenson sstephenson
162
15k
Raft: Consensus for Rubyists
Avatar for Patrick Van Stee vanstee
140
7.2k
Build The Right Thing And Hit Your Dates
Avatar for Maggie C. maggiecrowley
38
2.9k
Building an army of robots
Avatar for Kyle Neath kneath
305
46k
Scaling GitHub
Avatar for Zach Holman holman
463
140k
Distributed Sagas: A Protocol for Coordinating Microservices
Avatar for Caitie McCaffrey caitiem20
333
22k

Transcript

  1. Floyd-Warshall: Dynamic Programming Floyd-Warshall computes all pairs, but let us

    focus on 5 to 6. 62 / 71

  2. Floyd-Warshall: Dynamic Programming We start by considering only start(5) and

    dest(6) when k is 0. 63 / 71

  3. Floyd-Warshall: Dynamic Programming Then we also consider node 1 when

    k is 1. 64 / 71

  4. Floyd-Warshall: Dynamic Programming And node 2 when k is 2.

    65 / 71

  5. Floyd-Warshall: Dynamic Programming And node 3 when k is 3.....

    66 / 71

  6. Floyd-Warshall: Dynamic Programming And node 4 when k is 4....

    And so on. Note that I have just been filling in the answers for recursive calls But we actually need to compute those. 67 / 71

  7. Floyd-Warshall: Dynamic Programming Hmm it looks like some of those

    recursive calls will recompute the same thing... 68 / 71