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Strongly regular information


In mathematics, strongly regular might refer to:

  • Strongly regular graph
  • Strongly regular ring, or "strongly von Neumann regular" ring

and 23 Related for: Strongly regular information

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Strongly regular

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In mathematics, strongly regular might refer to: Strongly regular graph Strongly regular ring, or "strongly von Neumann regular" ring This disambiguation...

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Strongly regular graph

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A strongly regular graph is a distance-regular graph with diameter 2 whenever μ is non-zero. It is a locally linear graph whenever λ = 1. A strongly regular...

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Regular graph

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that are regular but not strongly regular are the cycle graph and the circulant graph on 6 vertices. The complete graph Km is strongly regular for any...

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Von Neumann regular ring

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von Neumann regular rings include unit regular rings and strongly von Neumann regular rings and rank rings. A ring R is called unit regular if for every...

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Algebraic combinatorics

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A strongly regular graph is defined as follows. Let G = (V,E) be a regular graph with v vertices and degree k. G is said to be strongly regular if there...

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Petersen graph

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construction forms a regular map and shows that the Petersen graph has non-orientable genus 1. The Petersen graph is strongly regular (with signature srg(10...

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Algebraic graph theory

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edge-transitive graphs, distance-transitive graphs, distance-regular graphs, and strongly regular graphs), and on the inclusion relationships between these...

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Locally linear graph

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of 3-regular triangle-free graphs, and the Cartesian products of smaller locally linear graphs. Certain Kneser graphs, and certain strongly regular graphs...

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Cap set

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types of algorithms for matrix multiplication. The Games graph is a strongly regular graph with 729 vertices. Every edge belongs to a unique triangle, so...

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Line graph

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exception of K8) as the strongly regular graphs with parameters srg(n(n – 1)/2, 2(n – 2), n – 2, 4). The three strongly regular graphs with the same parameters...

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Adjacency matrix

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is a (−1, 1, 0)-adjacency matrix. This matrix is used in studying strongly regular graphs and two-graphs. The distance matrix has in position (i, j) the...

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List of graphs

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graph Wagner graph Wells graph Wiener–Araya graph Windmill graph The strongly regular graph on v vertices and rank k is usually denoted srg(v,k,λ,μ). Clebsch...

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Inaccessible cardinal

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if it is a regular strong limit cardinal (this is equivalent to the definition given above). Some authors do not require weakly and strongly inaccessible...

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Graph isomorphism problem

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theorem, a slightly weaker bound 2O(√n log2 n) was obtained first for strongly regular graphs by László Babai (1980), and then extended to general graphs...

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Paley graph

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xk (mod q), where k is any nonresidue mod q (Sachs 1962). Paley graphs are strongly regular graphs, with parameters s r g ( q , 1 2 ( q − 1 ) , 1 4 ( q − 5 ) ...

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List of unsolved problems in mathematics

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multiple mixing problem – are all strongly mixing systems also strongly 3-mixing? Weinstein conjecture – does a regular compact contact type level set of...

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Graph theory

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theory Perfect graph Quantum graph Random regular graphs Semantic networks Spectral graph theory Strongly regular graphs Symmetric graphs Transitive reduction...

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List of Regular Show characters

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These characters appear in the American animated television series Regular Show, created by J. G. Quintel for Cartoon Network. The series revolves around...

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Raj Chandra Bose

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invented the notions of partial geometry, association scheme, and strongly regular graph and started a systematic study of difference sets to construct...

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Cayley graph

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free group has no relations, the Cayley graph has no cycles: it is the 4-regular infinite tree. It is a key ingredient in the proof of the Banach–Tarski...

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Regular language

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formal language theory, a regular language (also called a rational language) is a formal language that can be defined by a regular expression, in the strict...

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Clebsch graph

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10-regular Clebsch graph, is therefore also a strongly regular graph, with parameters ( 16 , 10 , 6 , 6 ) {\displaystyle (16,10,6,6)} . The 5-regular Clebsch...

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Power of three

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Bron–Kerbosch algorithm for finding these sets. Several important strongly regular graphs also have a number of vertices that is a power of three, including...

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