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Pseudorandom graph

In graph theory, a graph is said to be a pseudorandom graph if it obeys certain properties that random graphs obey with high probability. There is no concrete definition of graph pseudorandomness, but there are many reasonable characterizations of pseudorandomness one can consider.

Sparse pseudorandomness, Chung–Graham–Wilson theorem & Connections to graph regularity

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Sparse pseudorandomness

RegularDavid ConlonVertex-transitive graphsExpander mixing lemmaGrothendieck inequality
17 related topics

Chung–Graham–Wilson theorem

Adjacency matrixLittle-o notationForcing graphsTriangle counting lemmaCauchy–Schwarz inequality
6 related topics

Connections to graph regularity

Szemerédi regularity lemmaMiklós SimonovitsVera T. Sós
3 related topics

Connection to local conditions

Polynomial time
1 related topics

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Overview

Connection to local conditions

Chung–Graham–Wilson theorem

Connections to graph regularity

Sparse pseudorandomness

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Pseudorandom graph

Nodes41
Edges40
Triples9
Avg. degree1.95
Density0.04878
Components1

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Pseudorandom graph

Top relations

related to Connections to the Green–Tao theorem · 6
Pseudorandom graph → Green, It, Pseudorandom, Szemerédi's, Tao, The

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Important terminology

displaystyle graph number graphs lambda condition conditions discrepancy vertices varepsilon edges left right leq pseudorandomness theorem density random eigenvalue counting

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the 4-cycleinstance ofGraphs0.80text
the density of which in a sequence of graphs is sufficient to test the quasi-randomness of the sequenceinstance ofGraphs0.80text
are known as forcing graphs.Some implications in the Chunginstance ofGraphs0.80text
Pseudorandom graphrelated to Connections to the Green–Tao theoremPseudorandom0.60section
Pseudorandom graphrelated to Connections to the Green–Tao theoremGreen0.60section
Pseudorandom graphrelated to Connections to the Green–Tao theoremTao0.60section
Pseudorandom graphrelated to Connections to the Green–Tao theoremThe0.60section
Pseudorandom graphrelated to Connections to the Green–Tao theoremSzemerédi's0.60section
Pseudorandom graphrelated to Connections to the Green–Tao theoremIt0.60section

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