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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The expandermixinglemma intuitively states that the edges of certain d {\displaystyle d} -regular graphs are evenly distributed throughout the graph...
theory, an expander graph is a sparse graph that has strong connectivity properties, quantified using vertex, edge or spectral expansion. Expander constructions...
be used to construct expander codes, which are good error correcting codes. Expander graph Alon-Boppana bound Expandermixinglemma Spectral graph theory...
has a direct effect on subset edge density discrepancies via the expandermixinglemma. Other examples are as follows, letting G {\displaystyle G} be an...
{|X||Y||Z|}{|\Gamma |}}.} This result follows from a direct application of the expandermixinglemma. There are several notable families of quasirandom groups. In each...
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 ) →...
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...
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...
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...
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...
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...
Ethiopian constitution. Therefore, Lemma Megersa was excluded from the leadership race. On 22 February 2018, Lemma Megersa's party, ODP, called for an...
from the article. Van Dale Groot Woordenboek van de Nederlandse taal, lemma's palingsound en palingppop, veertiende herziene uitgave, 2005, page 2586...
'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...
Dicționarul etimologic român (in Romanian), quoted in DEX-online (see lemma rudár (sing.), rudári (pl.) followed by both definitions: "gold-miner" and...
hydropower. The country is strategically expanding its energy sector, aiming for a more diverse and resilient mix. The country's current energy production...
trade puzzle home bias puzzle homo economicus Hotelling's law Hotelling's lemma hourglass economy household The sector of the economy which purchases goods...