2020-06-04 14:20:28 +00:00
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---
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2020-06-15 23:19:07 +00:00
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id: graphs
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2020-06-04 14:20:28 +00:00
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title: "Graphs"
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author: Benjamin Qi
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2020-06-05 00:21:03 +00:00
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prerequisites:
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-
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- Gold - Topological Sort
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2020-06-04 14:20:28 +00:00
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---
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2020-06-17 22:18:07 +00:00
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<module-excerpt>
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- Eulerian Tours
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2020-06-04 21:42:30 +00:00
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- SCCs
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- BCCs
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2020-06-17 22:18:07 +00:00
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</module-excerpt>
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2020-06-04 14:20:28 +00:00
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Note: all except the third have not appeared on a recent USACO contest.
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*Some problems sourced from [here](http://codeforces.com/blog/entry/54526?#comment-385354).*
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## Eulerian Tours
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Has not appeared on a recent USACO contest.
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2020-06-04 21:42:30 +00:00
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### Standard
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- [Mail Delivery](https://cses.fi/problemset/task/1691)
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- Undirected Euler Tour
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- [Teleporters](https://cses.fi/problemset/task/1693)
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- Directed Euler Tour
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2020-06-04 14:20:28 +00:00
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### Tutorial
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2020-06-04 21:42:30 +00:00
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- CPH (19, Path & Circuits)
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2020-06-04 14:20:28 +00:00
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### Problems
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2020-06-04 21:42:30 +00:00
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- [Matching Substrings](https://csacademy.com/contest/archive/task/matching-substrings/) [](87)
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2020-06-04 14:20:28 +00:00
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## Strongly Connected Components
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2020-06-04 21:42:30 +00:00
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### Standard
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- [CSES Planets & Kingdoms](https://cses.fi/problemset/task/1683)
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- find SCCs
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- [Giant Pizza](https://cses.fi/problemset/task/1684)
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- 2SAT
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2020-06-04 14:20:28 +00:00
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### Tutorial
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2020-06-04 21:42:30 +00:00
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- Wikipedia
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- [Tarjan](https://en.wikipedia.org/wiki/Tarjan%27s_strongly_connected_components_algorithm)
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- [Kosaraju](https://en.wikipedia.org/wiki/Kosaraju%27s_algorithm)
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- CPH (17, Strong Connectivity)
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2020-06-04 21:42:30 +00:00
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- [CPC.7](https://github.com/SuprDewd/T-414-AFLV/tree/master/07_graphs_1)
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- [CF 2-SAT](http://codeforces.com/blog/entry/16205)
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2020-06-04 14:20:28 +00:00
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### Problems
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2020-06-04 21:42:30 +00:00
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- [Coin Collector](https://cses.fi/problemset/task/1686)
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- DP on SCCs
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2020-06-04 14:20:28 +00:00
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- [USACO Old Gold: Grass](http://www.usaco.org/index.php?page=viewproblem2&cpid=516)
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- [Proving Equivalences](https://open.kattis.com/problems/equivalences) [](78)
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- [Festival](https://szkopul.edu.pl/problemset/problem/p9uJo01RR9ouMLLAYroFuQ-7/site/?key=statement) [](173)
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## Biconnected Components
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Related topics include
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- Articulation Points
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- Bridges
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- Block-Cut Tree
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### Tutorial
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- [GeeksforGeeks](http://www.geeksforgeeks.org/articulation-points-or-cut-vertices-in-a-graph/)
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- [Wikipedia](https://en.wikipedia.org/wiki/Biconnected_component)
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- [CF DFS Tree + Bridges](https://codeforces.com/blog/entry/68138)
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### Problems
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2020-06-04 21:42:30 +00:00
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- [CSES Forbidden Cities](https://cses.fi/problemset/task/1705)
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- compute block-cut tree
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2020-06-04 14:20:28 +00:00
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- [USACO Plat: Push a Box](http://www.usaco.org/index.php?page=viewproblem2&cpid=769)
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- [Blockade](https://szkopul.edu.pl/problemset/problem/eDt8w290owtatmCjad0O0ywk/site/?key=statement)
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- [POLICIJA](http://wcipeg.com/problem/coi06p2)
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- [One-Way Streets](https://csacademy.com/contest/archive/task/one-way-streets/)
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- [Investment](https://dmoj.ca/problem/tle17c1p6)
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