Hopcroft–Karp algorithm

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Overview

Computer science Algorithm Bipartite graph Maximum-cardinality matching Worst case

16 related topics

Algorithm

Pseudocode Breadth-first search If and only if Depth-first search

4 related topics

Augmenting paths

Symmetric difference Optimal matching Augmenting paths

3 related topics

Analysis

Average case Sparse Logarithmic

3 related topics

Key facts & relationships

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Class: Graph algorithm
Data structure: Graph
Worst-case performance: O ( E V ) {\displaystyle O(E{\sqrt {V}})}
Worst-case space complexity: O ( V ) {\displaystyle O(V)}

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Overview

Augmenting paths

Algorithm

Analysis

Average case Average case analysis
Sparse Sparse graph
Logarithmic Logarithm

Comparison with other bipartite matching algorithms

Push-relabel maximum flow algorithm

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Map overview Semantic statistics

Nodes33

Edges32

Triples29

Avg. degree1.94

Density0.060606

Components1

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Hopcroft–Karp algorithm

Top relations

related to Non-bipartite graphs · 12

Hopcroft–Karp algorithm → Building, Hopcroft, However, In, Karp, Loui, Micali, Micali-Vazirani, Peterson, The, The Micali, Vazirani

related to Comparison with other bipartite matching algorithms · 7

Hopcroft–Karp algorithm → Alt, For, Hopcroft, Karp, Omega, Several, Their

see also · 4

Hopcroft–Karp algorithm → Hopcroft, Hungarian, Karp, Maximum

Class · 1

Hopcroft–Karp algorithm → Graph algorithm

Data structure · 1

Hopcroft–Karp algorithm → Graph

Worst-case performance · 1

Hopcroft–Karp algorithm → O ( E V ) {\displaystyle O(E{\sqrt {V}})}

Worst-case space complexity · 1

Hopcroft–Karp algorithm → O ( V ) {\displaystyle O(V)}

Important terminology Word statistics

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Important terminology

displaystyle algorithm augmenting paths matching vertices path edges unmatched vertex free matched one time karp sqrt search hopcroft set graph

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Hopcroft–Karp algorithm	Class	Graph algorithm	1.00	infobox
Hopcroft–Karp algorithm	Data structure	Graph	1.00	infobox
Hopcroft–Karp algorithm	Worst-case performance	O ( E V ) {\displaystyle O(E{\sqrt {V}})}	1.00	infobox
Hopcroft–Karp algorithm	Worst-case space complexity	O ( V ) {\displaystyle O(V)}	1.00	infobox
the Hungarian algorithm	instance of	As in previous methods for matching	0.80	text
the work of Edmonds	instance of	As in previous methods for matching	0.80	text
Hopcroft–Karp algorithm	related to Comparison with other bipartite matching algorithms	For	0.60	section
Hopcroft–Karp algorithm	related to Comparison with other bipartite matching algorithms	Hopcroft	0.60	section
Hopcroft–Karp algorithm	related to Comparison with other bipartite matching algorithms	Karp	0.60	section
Hopcroft–Karp algorithm	related to Comparison with other bipartite matching algorithms	Omega	0.60	section
Hopcroft–Karp algorithm	related to Comparison with other bipartite matching algorithms	Alt	0.60	section
Hopcroft–Karp algorithm	related to Comparison with other bipartite matching algorithms	Their	0.60	section

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