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Bethe lattice

In statistical mechanics and mathematics, the Bethe lattice (also called a regular tree) is an infinite symmetric regular tree where all vertices have the same number of neighbors. The Bethe lattice was introduced into the physics literature by Hans Bethe in 1935. In such a graph, each node is connected to z neighbors; the number z is called either the…

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In statistical mechanics

In mathematics

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Bethe lattice

Nodes32
Edges31
Triples39
Avg. degree1.94
Density0.0625
Components1

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Bethe lattice

Top relations

related to References · 12
Bethe lattice → Bethe, Bethe Lattices, Bibcode, Cayley Trees, Lond, Ostilli, Physica, Proc, S2CID, Soc, Statistical, Zbl
related to Number of closed walks · 7
Bethe lattice → By, Catalan, One, The, There, This, We
related to Return probability of a random walk · 5
Bethe lattice → Bethe, Summing, The, To, We
related to In statistical mechanics · 4
Bethe lattice → Bethe, The Bethe, This, While
related to Lattices in Lie groups · 4
Bethe lattice → As, Bethe, Fuchsian, Lie
related to Exact solutions to the Ising model · 3
Bethe lattice → Bethe, The, The Ising
related to Basic properties · 2
Bethe lattice → Bethe, When
related to Hyperbolic geometry · 2
Bethe lattice → Bethe, The

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Important terminology

displaystyle bethe lattice number vertex walks lattices starting graph also statistical given often closed mechanics degree vertices either model probability

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bethe latticerelated to Basic propertiesWhen0.60section
Bethe latticerelated to Basic propertiesBethe0.60section
Bethe latticerelated to Exact solutions to the Ising modelThe Ising0.60section
Bethe latticerelated to Exact solutions to the Ising modelThe0.60section
Bethe latticerelated to Exact solutions to the Ising modelBethe0.60section
Bethe latticerelated to Hyperbolic geometryThe0.60section
Bethe latticerelated to Hyperbolic geometryBethe0.60section
Bethe latticerelated to In statistical mechanicsThe Bethe0.60section
Bethe latticerelated to In statistical mechanicsBethe0.60section
Bethe latticerelated to In statistical mechanicsThis0.60section
Bethe latticerelated to In statistical mechanicsWhile0.60section
Bethe latticerelated to Lattices in Lie groupsBethe0.60section

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