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Havel–Hakimi algorithm

The Havel–Hakimi algorithm is an algorithm in graph theory solving the graph realization problem. That is, it answers the following question: Given a finite list of nonnegative integers in non-increasing order, is there a simple graph such that its degree sequence is exactly this list? A simple graph contains no double edges or loops. The degree sequence…

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Algorithm

Nonincreasing
1 related topics

Overview

Graph theoryGraph realization problemListIntegersSimple graph
10 related topics

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Algorithm

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Havel–Hakimi algorithm

Nodes14
Edges13
Triples21
Avg. degree1.86
Density0.142857
Components1

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Havel–Hakimi algorithm

Top relations

related to Proof · 8
Havel–Hakimi algorithm → Combinatorics, Hakimi, Havel, Invitation, Shahriari, The, Then, To
related to Examples · 7
Havel–Hakimi algorithm → First, Hakimi, Havel, Let, This, To, We
related to Algorithm · 5
Havel–Hakimi algorithm → Hakimi, Let, List, The Havel, Theorem
is a · 1
Havel–Hakimi algorithm → algorithm in graph theory solving the graph realization problem

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Important terminology

displaystyle degree sequence graph algorithm vertex vertices list graphic adjacent simple a' havel hakimi integers edges nonincreasing finite nonnegative given

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Havel–Hakimi algorithmis aalgorithm in graph theory solving the graph realization problem0.90text
Havel–Hakimi algorithmrelated to AlgorithmThe Havel0.60section
Havel–Hakimi algorithmrelated to AlgorithmHakimi0.60section
Havel–Hakimi algorithmrelated to AlgorithmTheorem0.60section
Havel–Hakimi algorithmrelated to AlgorithmLet0.60section
Havel–Hakimi algorithmrelated to AlgorithmList0.60section
Havel–Hakimi algorithmrelated to ExamplesLet0.60section
Havel–Hakimi algorithmrelated to ExamplesTo0.60section
Havel–Hakimi algorithmrelated to ExamplesHavel0.60section
Havel–Hakimi algorithmrelated to ExamplesHakimi0.60section
Havel–Hakimi algorithmrelated to ExamplesFirst0.60section
Havel–Hakimi algorithmrelated to ExamplesWe0.60section

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