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Prüfer sequence

In combinatorial mathematics, the Prüfer sequence (also Prüfer code or Prüfer numbers) of a labeled tree is a unique sequence associated with the tree. The sequence for a tree on n vertices has length n − 2, and can be generated by a simple iterative algorithm. Prüfer sequences were first used by Heinz Prüfer to prove Cayley's formula in 1918.

Applications, Other applications & Cayley's formula

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Overview

Cayley's formula

Other applications

Advanced semantic analysis

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Map overview Semantic statistics

Prüfer sequence

Nodes16
Edges15
Triples21
Avg. degree1.88
Density0.125
Components1

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Prüfer sequence

Top relations

related to Example · 7
Prüfer sequence → Consider, Initially, Prüfer, The, Vertex, Vertices, We
related to Algorithm to convert a tree into a Prüfer sequence · 5
Prüfer sequence → At, One, Prüfer, Specifically, The Prüfer
related to Cayley's formula · 5
Prüfer sequence → Cayley's, For, Prüfer, The, The Prüfer
related to Algorithm to convert a Prüfer sequence into a tree · 4
Prüfer sequence → For, Let, Prüfer, The

Important terminology Word statistics

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Important terminology

prüfer sequence tree labeled vertices length cayley's formula trees unique sequences algorithm set number first two leaf smallest label removed

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Prüfer sequencerelated to Algorithm to convert a Prüfer sequence into a treeLet0.60section
Prüfer sequencerelated to Algorithm to convert a Prüfer sequence into a treePrüfer0.60section
Prüfer sequencerelated to Algorithm to convert a Prüfer sequence into a treeThe0.60section
Prüfer sequencerelated to Algorithm to convert a Prüfer sequence into a treeFor0.60section
Prüfer sequencerelated to Algorithm to convert a tree into a Prüfer sequenceOne0.60section
Prüfer sequencerelated to Algorithm to convert a tree into a Prüfer sequencePrüfer0.60section
Prüfer sequencerelated to Algorithm to convert a tree into a Prüfer sequenceSpecifically0.60section
Prüfer sequencerelated to Algorithm to convert a tree into a Prüfer sequenceAt0.60section
Prüfer sequencerelated to Algorithm to convert a tree into a Prüfer sequenceThe Prüfer0.60section
Prüfer sequencerelated to Cayley's formulaThe Prüfer0.60section
Prüfer sequencerelated to Cayley's formulaFor0.60section
Prüfer sequencerelated to Cayley's formulaPrüfer0.60section

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    Min side: 3
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