51 lines
No EOL
1.7 KiB
Text
51 lines
No EOL
1.7 KiB
Text
---
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id: mst
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title: "Minimum Spanning Trees"
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author: Benjamin Qi
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prerequisites:
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- Gold - Shortest Paths
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- Gold - Disjoint Set Union
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description: A subset of the edges of a connected, undirected, edge-weighted graph that connects all the vertices to each other of minimum total weight, where no cycles are allowed.
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frequency: 2
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---
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import { Problem } from "../models";
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export const metadata = {
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problems: {
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standard: [
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new Problem("Kattis", "MST", "minspantree", "Easy", false, ["MST"], ""),
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new Problem("CSES", "Road Reparation", "1675", "Easy", false, ["MST"], ""),
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],
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general: [
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new Problem("Old Silver", "SuperBull", "531", "Easy", false, ["MST"], ""),
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new Problem("Gold", "Walk", "946", "Easy", false, ["Math","Prim"], ""),
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new Problem("Gold", "Fencedin", "623", "Easy", false, ["MST"], ""),
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new Problem("Plat", "Fencedin", "625", "Normal", false, ["Kruskal"], ""),
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],
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}
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};
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## Sample
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<problems-list problems={metadata.problems.standard} />
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## Tutorial
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- CPH 15 (Spanning Trees)
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- [PAPS 12.4](https://www.csc.kth.se/~jsannemo/slask/main.pdf)
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- Prim's Algorithm
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- [cp-algo](https://cp-algorithms.com/graph/mst_prim.html)
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- Similar to Dijkstra
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- Kruskal's Algorithm
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- [cp-algo 1](https://cp-algorithms.com/graph/mst_kruskal.html)
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- [cp-algo 2](https://cp-algorithms.com/graph/mst_kruskal_with_dsu.html)
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## USACO Gold Problems
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<problems-list problems={metadata.problems.general} />
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## Other Problems
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- [Birthday Gifts](https://www.hackerearth.com/practice/math/combinatorics/inclusion-exclusion/practice-problems/algorithm/mancunian-and-birthday-gifts-d44faa15/) [](73)
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- [Spanning Tree Fraction](https://www.hackerrank.com/contests/w31/challenges/spanning-tree-fraction) [](78) |