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Expander mixing lemma information


The expander mixing lemma intuitively states that the edges of certain -regular graphs are evenly distributed throughout the graph. In particular, the number of edges between two vertex subsets and is always close to the expected number of edges between them in a random -regular graph, namely .

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Expander mixing lemma

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The expander mixing lemma intuitively states that the edges of certain d {\displaystyle d} -regular graphs are evenly distributed throughout the graph...

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Expander graph

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theory, an expander graph is a sparse graph that has strong connectivity properties, quantified using vertex, edge or spectral expansion. Expander constructions...

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Ramanujan graph

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be used to construct expander codes, which are good error correcting codes. Expander graph Alon-Boppana bound Expander mixing lemma Spectral graph theory...

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List of lemmas

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lemma Expander mixing lemma Handshaking lemma Kelly's lemma Kőnig's lemma Szemerédi regularity lemma Higman's lemma Ultrafilter lemma Barbalat's lemma Kac's...

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Pseudorandom graph

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has a direct effect on subset edge density discrepancies via the expander mixing lemma. Other examples are as follows, letting G {\displaystyle G} be an...

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Quasirandom group

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{|X||Y||Z|}{|\Gamma |}}.} This result follows from a direct application of the expander mixing lemma. There are several notable families of quasirandom groups. In each...

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Total variation distance of probability measures

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1976/1977), pp. 342–363, Lecture Notes in Math., 649, Springer, Berlin, 1978, Lemma 2.1 (French). Tsybakov, Alexandre B., Introduction to nonparametric estimation...

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Central limit theorem

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independent. Several kinds of mixing are used in ergodic theory and probability theory. See especially strong mixing (also called α-mixing) defined by α ( n ) →...

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List of statistics articles

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Markov chains Excess risk Exchange paradox Exchangeable random variables Expander walk sampling Expectation–maximization algorithm Expectation propagation...

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The Art of Computer Programming

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Vertex and edge connectivity 7.4.2. Special classes of graphs 7.4.3. Expander graphs 7.4.4. Random graphs 7.5. Graphs and optimization 7.5.1. Bipartite...

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Mediterranean Lingua Franca

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Triantaphyllide online dictionary, Greek Language Center (Kentro Hellenikes Glossas), lemma Franc (Φράγκος Phrankos), Lexico tes Neas Hellseenikes Glossas, G.Babiniotes...

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Construction of an irreducible Markov chain in the Ising model

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proof of irreducibility in the 1-dimensional Ising model requires two lemmas. Lemma 1:The max-singleton configuration of S ( a , b ) {\displaystyle S(a...

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SHARK

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a 128-bit key size. It is a six-round SP-network which alternates a key mixing stage with linear and non-linear transformation layers. The linear transformation...

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Chaos theory

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of "mixing" corresponds to the standard intuition, and the mixing of colored dyes or fluids is an example of a chaotic system. Topological mixing is often...

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Sranan Tongo

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phrasebook. For a list of words relating to Sranan Tongo, see the Sranan Tongo lemmas category of words in Wiktionary, the free dictionary. Dictionaries SIL International...

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Abiy Ahmed

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Ethiopian constitution. Therefore, Lemma Megersa was excluded from the leadership race. On 22 February 2018, Lemma Megersa's party, ODP, called for an...

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Palingsound

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from the article. Van Dale Groot Woordenboek van de Nederlandse taal, lemma's palingsound en palingppop, veertiende herziene uitgave, 2005, page 2586...

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Commercial National Security Algorithm Suite

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DES cracker) MITM Biclique attack 3-subset MITM attack Linear (Piling-up lemma) Differential Impossible Truncated Higher-order Differential-linear Distinguishing...

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Ethiopia

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honours and reputations. Some are Kitaw Ejigu, Mulugeta Bekele, Aklilu Lemma, Gebisa Ejeta and Melaku Worede. Computer scientist Timnit Gebru, named...

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Residual block termination

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DES cracker) MITM Biclique attack 3-subset MITM attack Linear (Piling-up lemma) Differential Impossible Truncated Higher-order Differential-linear Distinguishing...

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Finite difference

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'What comes next?' " on YouTube Newton, Isaac, (1687). Principia, Book III, Lemma V, Case 1 Iaroslav V. Blagouchine (2018). "Three notes on Ser's and Hasse's...

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Romani people

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Dicționarul etimologic român (in Romanian), quoted in DEX-online (see lemma rudár (sing.), rudári (pl.) followed by both definitions: "gold-miner" and...

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Renewable energy in Ethiopia

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hydropower. The country is strategically expanding its energy sector, aiming for a more diverse and resilient mix. The country's current energy production...

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Glossary of economics

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trade puzzle home bias puzzle homo economicus Hotelling's law Hotelling's lemma hourglass economy household The sector of the economy which purchases goods...

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Diffusion process

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Filtration Girsanov theorem Infinitesimal generator Itô integral Itô's lemma Karhunen–Loève theorem Kolmogorov continuity theorem Kolmogorov extension...

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