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Bunkbed conjecture information


The Bunkbed Conjecture (also spelled Bunk Bed Conjecture) is a statement in percolation theory, a branch of mathematics that studies the behavior of connected clusters in a random graph. The conjecture is named after its analogy to a bunk bed structure. It was first posited by Kasteleyn.[1]

  1. ^ van den Berg, Jacob; Kahn, Jeff (2001). "A correlation inequality for connection events in percolation". Annals of Probability. 29 (1): 123–126. doi:10.1214/aop/1008956324. JSTOR 2652916. Retrieved December 17, 2023.

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Bunkbed conjecture

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subgraph of the bunkbed graph is then formed by independently deleting each edge based on the assigned probability. The Bunkbed Conjecture states that in...

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Percolation theory

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Shortest path problem – Computational problem of graph theory Bunkbed conjecture – Conjecture in probabilistic combinatorics Broadbent, Simon; Hammersley...

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Pieter Kasteleyn

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inequality. For Bernoulli percolation on graphs he formulated the Bunkbed conjecture. Pieter Kasteleyn (1956). "Statistical problems in ferromagnetism...

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