In graph theory, an expander graph is a sparse graph that has strong connectivity properties, quantified using vertex, edge or spectral expansion. Expander constructions have spawned research in pure and applied mathematics, with several applications to complexity theory, design of robust computer networks, and the theory of error-correcting codes.[1]
In graph theory, an expandergraph is a sparse graph that has strong connectivity properties, quantified using vertex, edge or spectral expansion. Expander...
turbine for high-pressure gas Expandergraph, a sparse graph used in the combinatorics branch of mathematics StuffIt Expander, a computer file decompressor...
theory, expander codes form a class of error-correcting codes that are constructed from bipartite expandergraphs. Along with Justesen codes, expander codes...
Algebraic connectivity Algebraic graph theory Spectral clustering Spectral shape analysis Estrada index Lovász theta Expandergraph Collatz, L. and Sinogowitz...
Ramanujan graphs can be used to construct expander codes, which are good error correcting codes. Expandergraph Alon-Boppana bound Expander mixing lemma...
The structure and symmetry of Cayley graphs makes them particularly good candidates for constructing expandergraphs. Let G {\displaystyle G} be a group...
instance, an even cycle is a cycle whose length is even. expander An expandergraph is a graph whose edge expansion, vertex expansion, or spectral expansion...
In mathematics, the supersingular isogeny graphs are a class of expandergraphs that arise in computational number theory and have been applied in elliptic-curve...
The expander mixing lemma intuitively states that the edges of certain d {\displaystyle d} -regular graphs are evenly distributed throughout the graph. In...
Graph expansion may refer to: Expandergraph Homeomorphism (graph theory) This disambiguation page lists articles associated with the title Graph expansion...
mathematical discipline of graph theory, the expander walk sampling theorem intuitively states that sampling vertices in an expandergraph by doing relatively...
pentagrammic prisms. In the mathematical field of graph theory, a rhombicosidodecahedral graph is the graph of vertices and edges of the rhombicosidodecahedron...
1016/0024-3795(68)90008-6. Shum, Kenneth; Blake, Ian (2003-12-18). "Expandergraphs and codes". Volume 68 of DIMACS series in discrete mathematics and...
explicit constructions of constant-degree expanders of every size, starting from one constant-size expander. Crucial to the intuition and simple analysis...
mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context...
are considered). In graph theory, isoperimetric inequalities are at the heart of the study of expandergraphs, which are sparse graphs that have strong connectivity...
a certain class of expandergraphs called "small set expanders" and other graphs that are very far from being small set expanders. This assumption implies...
when designing such protocols is that the neighbor set trace out an expandergraph. Routing Tribler, BitTorrent peer-to-peer client using gossip protocol...
used to disperse or dissolve pigments and other solids into a liquid. Expandergraph Shaltiel, Ronen (2002). "Recent developments in explicit constructions...
interfaces and tools which enable developers to integrate with the open "social graph" of personal relations and other things like songs, places, and Facebook...
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