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There is a page named "Cayley formula" on Wikipedia
In mathematics, Cayley's formula is a result in graph theory named after Arthur Cayley. It states that for every positive integer n {\displaystyle n} ...4 KB (472 words) - 04:40, 19 February 2024
theory, Cayley tables, Cayley graphs, and Cayley's theorem are named in his honour, as well as Cayley's formula in combinatorics. Arthur Cayley was born...19 KB (2,012 words) - 14:26, 30 July 2024- Prüfer sequence (section Cayley's formula)algorithm. Prüfer sequences were first used by Heinz Prüfer to prove Cayley's formula in 1918. One can generate a labeled tree's Prüfer sequence by iteratively...7 KB (981 words) - 14:26, 25 May 2023
- Kirchhoff's theorem (section Cayley's formula)of the Laplacian matrix. Kirchhoff's theorem is a generalization of Cayley's formula which provides the number of spanning trees in a complete graph. Kirchhoff's...13 KB (2,032 words) - 02:16, 5 September 2024
- S2CID 199546746; reprinted as article 52 in Cayley, Arthur (1889), The collected mathematical papers of Arthur Cayley, vol. I (1841–1853), Cambridge University...99 KB (15,019 words) - 17:05, 31 July 2024
- In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Rowan Hamilton) states that every square matrix...65 KB (11,169 words) - 09:24, 16 July 2024
- the Cayley Formula Using Random Maps". arXiv:1409.1614. Wu, Scott; Li, Ray; He, Andrew; Hao, Steven (December 14, 2013). "A Simple Proof of the Cayley Formula...10 KB (761 words) - 14:47, 25 May 2024
- In mathematics, the Cayley–Dickson construction, named after Arthur Cayley and Leonard Eugene Dickson, produces a sequence of algebras over the field of...18 KB (2,224 words) - 05:25, 6 July 2024
- engineering Cayley graph Cayley numbers Cayley plane Cayley table Cayley transform Cayleyan Cayley–Bacharach theorem Cayley–Dickson construction Cayley–Hamilton...1 KB (111 words) - 17:13, 20 March 2022
- Four-dimensional rotations can be derived from Rodrigues' rotation formula and the Cayley formula. Let A be a 4 × 4 skew-symmetric matrix. The skew-symmetric...37 KB (5,718 words) - 19:31, 27 June 2024
- In algebraic geometry, the Chasles–Cayley–Brill formula, also known as the Cayley–Brill formula, states that a correspondence T of valence k from an algebraic...2 KB (201 words) - 06:38, 15 April 2021
- the Euler–Rodrigues formula describes the rotation of a vector in three dimensions. It is based on Rodrigues' rotation formula, but uses a different...13 KB (2,056 words) - 06:11, 31 August 2024
- mathematics, the Cayley transform, named after Arthur Cayley, is any of a cluster of related things. As originally described by Cayley (1846), the Cayley transform...14 KB (2,249 words) - 10:33, 28 June 2024
- can be formed from a set of n {\displaystyle n} distinct vertices? Cayley's formula gives the answer T n = n n − 2 {\displaystyle T_{n}=n^{n-2}} . Aigner...11 KB (1,643 words) - 08:17, 2 August 2024
- In linear algebra, geometry, and trigonometry, the Cayley–Menger determinant is a formula for the content, i.e. the higher-dimensional volume, of a n {\textstyle...20 KB (4,268 words) - 16:55, 19 June 2024
- seen in an example provided by Aigner & Ziegler (1998), of proofs for Cayley's formula stating that there are nn − 2 different trees that can be formed from...10 KB (1,583 words) - 14:42, 23 May 2023
precisely its edges, implying that the class of trees has few cliques. Cayley's formula states that there are nn−2 trees on n labeled vertices. A classic proof...26 KB (3,380 words) - 03:57, 4 September 2024
with n vertices, then t(G) = n. For a complete graph with n vertices, Cayley's formula gives the number of spanning trees as nn − 2. If G is the complete...26 KB (3,265 words) - 23:16, 10 December 2023
by setting the smaller parallel side to zero. Expressing Heron's formula with a Cayley–Menger determinant in terms of the squares of the distances between...19 KB (3,519 words) - 17:47, 13 August 2024- theorem Lindström–Gessel–Viennot lemma and the Cauchy–Binet formula Four proofs of Cayley's formula Kakeya sets in vector spaces over finite fields Bregman–Minc...5 KB (454 words) - 06:52, 11 July 2024
- has an article on: Cayley's formula Wikipedia Named in honour of Arthur Cayley. Cayley's theorem (uncountable) (graph theory) A formula for the number of
- explain "Poncelet's paradox." The discovery of these relations is, says Cayley, "the most important one beyond all comparison in the entire subject of
- foremost British mathematicians, J. J. Sylvester, the algebraist, and Arthur Cayley, the algebraist and geometer, was grotesque. Sylvester wished to bury Euclid
- )=|f'(\phi )|K_{D}(f(\phi ),f(\theta ))|f'(\theta )|} off the diagonal. The Cayley transform 1 − z 1 + z : C + → D {\displaystyle {\frac {1-z}{1+z}}:C^{+}\rightarrow