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Folded cube graph

In graph theory, a folded cube graph is an undirected graph formed from a hypercube graph by adding to it a perfect matching that connects opposite pairs of hypercube vertices.

Applications, Properties & Examples

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Research this topic

Explore the main themes, entities and connections around Folded cube 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.

Key facts & relationships

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

Chromatic number
{ 2 even n 4 odd n {\displaystyle {\begin{cases}2&{\text{even }}n\\4&{\text{odd }}n\end{cases}}}
Diameter
⌊ n 2 ⌋ {\displaystyle \left\lfloor {\frac {n}{2}}\right\rfloor }
Edges
2 n − 2 n {\displaystyle 2^{n-2}n}
Properties
Regular Hamiltonian Distance-transitive.
Vertices
2 n − 1 {\displaystyle 2^{n-1}}

Topics to explore

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

Overview

Construction

Properties

Examples

Applications

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

Folded cube graph

Nodes32
Edges31
Triples23
Avg. degree1.94
Density0.0625
Components1

How this topic connects Entity context

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

Folded cube graph

Top relations

related to Examples · 5
Folded cube graph → Clebsch, K4, Kummer, Levi, The
has application · 3
Folded cube graph → Compared, Efficient, In
related to Construction · 3
Folded cube graph → In, It, The
related to External links · 3
Folded cube graph → Eric, MathWorld, Weisstein
is a · 2
Folded cube graph → k-regular with 2k, undirected graph formed from a hypercube graph by adding to it a perfect matching that connects opposite pairs of hypercube vertices
related to Properties · 2
Folded cube graph → As, The
Chromatic number · 1
Folded cube graph → { 2 even n 4 odd n {\displaystyle {\begin{cases}2&{\text{even }}n\\4&{\text{odd }}n\end{cases}}}
Diameter · 1
Folded cube graph → ⌊ n 2 ⌋ {\displaystyle \left\lfloor {\frac {n}{2}}\right\rfloor }
Edges · 1
Folded cube graph → 2 n − 2 n {\displaystyle 2^{n-2}n}
Properties · 1
Folded cube graph → Regular Hamiltonian Distance-transitive.

Important terminology Word statistics

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

Important terminology

folded cube graph odd graphs dimension hypercube bipartite vertices doi 10 even distance-transitive dimension-k complete formed hamiltonian number properties diameter

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Folded cube graphChromatic number{ 2 even n 4 odd n {\displaystyle {\begin{cases}2&{\text{even }}n\\4&{\text{odd }}n\end{cases}}}1.00infobox
Folded cube graphDiameter⌊ n 2 ⌋ {\displaystyle \left\lfloor {\frac {n}{2}}\right\rfloor }1.00infobox
Folded cube graphEdges2 n − 2 n {\displaystyle 2^{n-2}n}1.00infobox
Folded cube graphPropertiesRegular Hamiltonian Distance-transitive.1.00infobox
Folded cube graphVertices2 n − 1 {\displaystyle 2^{n-1}}1.00infobox
Folded cube graphis aundirected graph formed from a hypercube graph by adding to it a perfect matching that connects opposite pairs of hypercube vertices0.90text
Folded cube graphis ak-regular with 2k0.90text
Folded cube graphhas applicationIn0.60section
Folded cube graphhas applicationCompared0.60section
Folded cube graphhas applicationEfficient0.60section
Folded cube graphrelated to ConstructionThe0.60section
Folded cube graphrelated to ConstructionIn0.60section

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
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