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Locally linear graph

In graph theory, a locally linear graph is an undirected graph in which every edge belongs to exactly one triangle. Equivalently, for each vertex of the graph, its neighbors are each adjacent to exactly one other neighbor. That is, locally (from the point of view of any one vertex) the rest of the graph looks like a perfect matching. Locally linear…

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

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Overview

Constructions

Regularity

Density

Applications

Advanced semantic analysis

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Map overview Semantic statistics

Locally linear graph

Nodes76
Edges75
Triples71
Avg. degree1.97
Density0.026316
Components1

How this topic connects Entity context

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

Locally linear graph

Top relations

related to Algebraic constructions · 18
Locally linear graph → Any, Because, Certain Kneser, For, Form, However, In, Kneser, Let, Locally, Paley, Salem, Spencer, That, The, The Kneser, This, To
related to From smaller graphs · 14
Locally linear graph → Cartesian, Euler's, Every, For, Gluing, If, It, Let, One, Paley, Petersen, Some, The, Two
related to Density · 10
Locally linear graph → Among, As Imre, Endre Szemerédi, In, Omega, One, Ruzsa, Szemerédi, The, These
related to Regular graphs with few vertices · 10
Locally linear graph → Cartesian, Every, Kneser, No, Paley, Regular, Schläfli, The, The Cartesian, Therefore
has application · 7
Locally linear graph → Greechie, Hilbert, In, One, Steiner, The Greechie, This
related to Gluing and products · 6
Locally linear graph → Let, Locally, More, The, Then, They
related to Strongly regular graphs · 5
Locally linear graph → Kneser, Paley, Schläfli, The, When
is a · 1
Locally linear graph → undirected graph in which every edge belongs to exactly one triangle

Important terminology Word statistics

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Important terminology

linear locally graph graphs displaystyle vertices edges regular triangles one two every also triangle number vertex hypergraph exactly line strongly

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Locally linear graphis aundirected graph in which every edge belongs to exactly one triangle0.90text
Locally linear graphhas applicationOne0.60section
Locally linear graphhas applicationGreechie0.60section
Locally linear graphhas applicationHilbert0.60section
Locally linear graphhas applicationIn0.60section
Locally linear graphhas applicationThe Greechie0.60section
Locally linear graphhas applicationSteiner0.60section
Locally linear graphhas applicationThis0.60section
Locally linear graphrelated to Algebraic constructionsCertain Kneser0.60section
Locally linear graphrelated to Algebraic constructionsKneser0.60section
Locally linear graphrelated to Algebraic constructionsThe Kneser0.60section
Locally linear graphrelated to Algebraic constructionsIn0.60section

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    Min side: 3
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