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Windmill graph

In the mathematical field of graph theory, the windmill graph Wd(k,n) is an undirected graph constructed for k ≥ 2 and n ≥ 2 by joining n copies of the complete graph Kk at a shared universal vertex. That is, it is a 1-clique-sum of these complete graphs.

Labeling and colouring, Properties & Special cases

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Explore the main themes, entities and connections around Windmill graph. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Key facts & relationships

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Chromatic index
n(k − 1)
Chromatic number
k
Diameter
2
Girth
3 if k > 2
Notation
Wd(k,n)
Radius
1

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Overview

Properties

Special cases

Labeling and colouring

Advanced semantic analysis

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Map overview Semantic statistics

Windmill graph

Nodes22
Edges21
Triples20
Avg. degree1.91
Density0.090909
Components1

How this topic connects Entity context

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Windmill graph

Top relations

related to Labeling and colouring · 8
Windmill graph → Bermond, In, Its, Kotzig, The, Through, Turgeon, Wd
related to Special cases · 4
Windmill graph → By, Fn, Sn, Wd
Chromatic index · 1
Windmill graph → n(k − 1)
Chromatic number · 1
Windmill graph → k
Diameter · 1
Windmill graph → 2
Edges · 1
Windmill graph → .mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:cent…
Girth · 1
Windmill graph → 3 if k 2
Notation · 1
Windmill graph → Wd(k,n)
Radius · 1
Windmill graph → 1
Vertices · 1
Windmill graph → n(k − 1) + 1

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

wd graph windmill complete graceful graphs chromatic proved vertex vertices edges block nk radius diameter girth number index mathematical 1-clique-sum

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Windmill graphChromatic indexn(k − 1)1.00infobox
Windmill graphChromatic numberk1.00infobox
Windmill graphDiameter21.00infobox
Windmill graphEdges.mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:cent…1.00infobox
Windmill graphGirth3 if k > 21.00infobox
Windmill graphNotationWd(k,n)1.00infobox
Windmill graphRadius11.00infobox
Windmill graphVerticesn(k − 1) + 11.00infobox
Windmill graphrelated to Labeling and colouringThe0.60section
Windmill graphrelated to Labeling and colouringIts0.60section
Windmill graphrelated to Labeling and colouringWd0.60section
Windmill graphrelated to Labeling and colouringIn0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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