Hamming graph

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

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Special cases

Quadrangle Lattice graph Rook's graph Hypercube graph Hamiltonian paths

7 related topics

Applications

Error-correcting codes Association schemes Distributed computing

3 related topics

Overview

Adjacent Richard Hamming Mathematics Graph theory Computer science

15 related topics

Computational complexity

Linear time

1 related topics

Key facts & relationships

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

Diameter: d
Edges: d ( q − 1 ) q d 2 {\displaystyle {\frac {d(q-1)q^{d}}{2}}}
Named after: Richard Hamming
Notation: H(d,q)
Properties: d(q − 1)-regular Vertex-transitive Distance-regular Distance-balanced Polytopal
Spectrum: { ( d ( q − 1 ) − q i ) ( d i ) ( q − 1 ) i ; {\displaystyle \{(d(q-1)-qi)^{{\binom {d}{i}}(q-1)^{i}};} i = 0 , … , d } {\displaystyle i=0,\ldots ,d\}}

Topics to explore

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

Overview

Adjacent Graph (discrete mathematics)
Richard Hamming
Mathematics
Graph theory
Computer science
Set Set (mathematics)
Integer
Vertex Vertex (graph theory)
Tuples Tuple
Hamming distance
Cartesian product Cartesian product of graphs
Complete graphs Complete graph
Distance-regular Distance-regular graph
Regular Regular graph
Vertex-transitive Vertex-transitive graph

Special cases

Applications

Computational complexity

Linear time

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

Nodes31

Edges30

Triples25

Avg. degree1.94

Density0.064516

Components1

How this topic connects Entity context

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

Hamming graph

Top relations

related to Special cases · 8

Hamming graph → Because Cartesian, Gray, Hamiltonian, Hamming, K1H, KqH, Lq, Qd

related to External links · 6

Hamming graph → Andries, Brouwer, Eric, Hamming, MathWorld, Weisstein

has application · 2

Hamming graph → The Hamming, They

related to Computational complexity · 2

Hamming graph → Hamming, It

Diameter · 1

Hamming graph → d

Edges · 1

Hamming graph → d ( q − 1 ) q d 2 {\displaystyle {\frac {d(q-1)q^{d}}{2}}}

Named after · 1

Hamming graph → Richard Hamming

Notation · 1

Hamming graph → H(d,q)

Properties · 1

Hamming graph → d(q − 1)-regular Vertex-transitive Distance-regular Distance-balanced Polytopal

Spectrum · 1

Hamming graph → { ( d ( q − 1 ) − q i ) ( d i ) ( q − 1 ) i ; {\displaystyle \{(d(q-1)-qi)^{{\binom {d}{i}}(q-1)^{i}};} i = 0 , … , d } {\displaystyle i=0,\ldots ,d\}}

Important terminology Word statistics

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Important terminology

hamming graphs graph cartesian complete set distance-regular regular vertex-transitive class elements special cases named richard vertices two distance kq considered

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Hamming graph	Diameter	d	1.00	infobox
Hamming graph	Edges	d ( q − 1 ) q d 2 {\displaystyle {\frac {d(q-1)q^{d}}{2}}}	1.00	infobox
Hamming graph	Named after	Richard Hamming	1.00	infobox
Hamming graph	Notation	H(d,q)	1.00	infobox
Hamming graph	Properties	d(q − 1)-regular Vertex-transitive Distance-regular Distance-balanced Polytopal	1.00	infobox
Hamming graph	Spectrum	{ ( d ( q − 1 ) − q i ) ( d i ) ( q − 1 ) i ; {\displaystyle \{(d(q-1)-qi)^{{\binom {d}{i}}(q-1)^{i}};} i = 0 , … , d } {\displaystyle i=0,\ldots ,d\}}	1.00	infobox
Hamming graph	Vertices	qd	1.00	infobox
Hamming graph	has application	The Hamming	0.60	section
Hamming graph	has application	They	0.60	section
Hamming graph	related to Computational complexity	It	0.60	section
Hamming graph	related to Computational complexity	Hamming	0.60	section
Hamming graph	related to External links	Weisstein	0.60	section

Related concept clusters Concept neighborhoods

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Connections between topic areas Semantic bridges

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