Matchstick graph

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

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Regular matchstick graphs

Regular Degree Complete graphs 3-regular Diamond graph

9 related topics

Computational complexity

NP-hard Existential theory of the reals Kurz (2011)NP-complete Hamiltonian cycle

5 related topics

Combinatorial enumeration

OEIS Claw Triangle graph Path graph

4 related topics

Special classes of graphs

Tree Squaregraphs

2 related topics

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Diameter: 9
Edges: 104
Girth: 3
Radius: 6
Vertices: 52

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Geometric graph theory
Graph Graph (discrete mathematics)
Drawn Graph drawing
Embedding
Unit distance graph
Plane graph Planar graph
Matchsticks Matchstick
Dürer graph

Regular matchstick graphs

Computational complexity

Combinatorial enumeration

OEIS On-Line Encyclopedia of Integer Sequences
Claw Claw (graph theory)
Triangle graph
Path graph

Special classes of graphs

Tree Tree (graph theory)
Squaregraphs Squaregraph

Related classes of graphs

Penny graphs Penny graph

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Nodes36

Edges35

Triples28

Avg. degree1.94

Density0.055556

Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Matchstick graph

Top relations

related to Computational complexity · 7

Matchstick graph → Hamiltonian, It, Kurz, Kurz's, More, NP-complete, NP-hard

related to Regular matchstick graphs · 4

Matchstick graph → Much, Regular, The, This

related to Special classes of graphs · 4

Matchstick graph → Every, For, In, Uniformity

related to Related classes of graphs · 3

Matchstick graph → Every, However, Penny

is a · 2

Matchstick graph → graph that can be drawn in the plane in such a way that its edges are line segments with length one that do not cross each other, unit distance graph

related to Combinatorial enumeration · 2

Matchstick graph → For, The

Diameter · 1

Matchstick graph → 9

Edges · 1

Matchstick graph → 104

Girth · 1

Matchstick graph → 3

Radius · 1

Matchstick graph → 6

Important terminology Word statistics

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

Important terminology

matchstick graph graphs vertices edges planar unit plane distance drawn known every way regular degree length one vertex example embedding

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Matchstick graph	Diameter	9	1.00	infobox
Matchstick graph	Edges	104	1.00	infobox
Matchstick graph	Girth	3	1.00	infobox
Matchstick graph	Radius	6	1.00	infobox
Matchstick graph	Vertices	52	1.00	infobox
Matchstick graph	causes	some non-adjacent vertices to be closer than unit distance to each other	0.90	text
Matchstick graph	is a	graph that can be drawn in the plane in such a way that its edges are line segments with length one that do not cross each other	0.90	text
Matchstick graph	is a	unit distance graph	0.90	text
Matchstick graph	related to Combinatorial enumeration	The	0.60	section
Matchstick graph	related to Combinatorial enumeration	For	0.60	section
Matchstick graph	related to Computational complexity	It	0.60	section
Matchstick graph	related to Computational complexity	NP-hard	0.60	section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

Connections between topic areas Semantic bridges

Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

Min side: 3