• In graph theory, Schnyder's theorem is a characterization of planar graphs in terms of the order dimension of their incidence posets. It is named after...
    5 KB (630 words) - 22:41, 27 February 2025
  • (graph theory) Schnyder's theorem (graph theory) Schur's theorem (Ramsey theory) Schwenk's theorem (graph theory) Sensitivity theorem (computational complexity...
    78 KB (6,289 words) - 12:34, 6 June 2025
  • Planar graph (redirect from Theorem P)
    tree. It is central to the left-right planarity testing algorithm; Schnyder's theorem gives a characterization of planarity in terms of partial order dimension;...
    35 KB (4,541 words) - 18:29, 29 May 2025
  • Swiss sports shooter Schnyder is also the namesake of the following: Schnyder crystalline corneal dystrophy Schnyder's theorem Schnyder wood Schnider Snider...
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  • Thumbnail for Order dimension
    according to Schnyder's theorem it is a planar graph if and only if the order dimension of its incidence poset is at most three (Schnyder 1989). For a...
    9 KB (1,205 words) - 07:36, 18 July 2024
  • characterizing planar graphs by the bases of their cycle spaces, Schnyder's theorem characterizing planar graphs by the order dimension of an associated...
    17 KB (1,818 words) - 00:50, 9 November 2023
  • edges of a maximal planar graph into three trees known as a Schnyder wood. Tutte's spring theorem states that every 3-connected planar graph can be drawn...
    11 KB (1,261 words) - 06:20, 31 March 2025
  • Thumbnail for Patrice Ossona de Mendez
    of Notable Books and Articles of 2012. Left-right planarity test Schnyder's theorem Bounded expansion Curriculum vitae: Patrice Ossona de Mendez (PDF)...
    3 KB (277 words) - 05:56, 26 November 2024
  • Thumbnail for Incidence poset
    order dimension at most three if and only if G is at most planar (Schnyder's theorem). However, graphs whose incidence posets have order dimension 4 may...
    4 KB (423 words) - 03:43, 12 February 2025
  • Arboricity (redirect from Schnyder wood)
    forests needed to cover all the edges of the graph. The Nash-Williams theorem provides necessary and sufficient conditions for when a graph is k-arboric...
    10 KB (1,429 words) - 17:36, 9 June 2025
  • quantum entangled particle pairs, as the principles of the no-cloning theorem and wave function collapse ensure the secure exchange of the random keys...
    7 KB (745 words) - 09:59, 31 March 2025
  • table was developed between 2008–2010 by the collaboration of Andreas P. Schnyder, Shinsei Ryu, Akira Furusaki and Andreas W. W. Ludwig; and independently...
    22 KB (2,656 words) - 09:32, 4 April 2025
  • USS Schroeder (DD-501), a ship of the US Navy Schröder–Bernstein theorem, a mathematical theorem in set theory Schroeder (constructor), former racing car constructor...
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  • proven in Schrijver (1998). 6. Hoffman and Kruskal proved the following theorem. Suppose G {\displaystyle G} is a directed graph without 2-dicycles, P...
    14 KB (1,884 words) - 07:59, 17 June 2025
  • imposed by quantum decoherence. One of the most abused ideas is Bell's theorem, which proves the nonexistence of local hidden variables in quantum mechanics...
    400 KB (39,080 words) - 08:16, 15 June 2025
  • Thumbnail for Lambert W function
    Taylor series of W0 around 0 can be found using the Lagrange inversion theorem and is given by W 0 ( x ) = ∑ n = 1 ∞ ( − n ) n − 1 n ! x n = x − x 2 +...
    78 KB (12,432 words) - 01:04, 6 June 2025
  • Thumbnail for Automata theory
    theory. The study of linear bounded automata led to the Myhill–Nerode theorem, which gives a necessary and sufficient condition for a formal language...
    32 KB (3,851 words) - 14:40, 16 April 2025
  • density functional theory starts with the theorems of Walter Kohn and Pierre Hohenberg. 1966–1967: Mermin–Wagner theorem is proved by N. David Mermin, Herbert...
    65 KB (6,766 words) - 21:27, 18 June 2025
  • graph (a 3-vertex-connected planar graph, or equivalently by Steinitz's theorem the graph of a convex polyhedron) has a greedy embedding into the Euclidean...
    13 KB (1,449 words) - 04:13, 6 January 2025
  • Thumbnail for Apollonian network
    uniquely 4-colorable graph. Because it is a planar graph, the four color theorem implies that it has a graph coloring with only four colors, but once the...
    41 KB (4,752 words) - 07:28, 24 February 2025
  • Thumbnail for Topological insulator
    {\displaystyle \mathbb {Z} _{2}} topology by definition of the state. Bloch's theorem allows a full characterization of the wave propagation properties of a...
    62 KB (6,993 words) - 13:07, 23 May 2025
  • Thumbnail for Fullerene chemistry
    soccer-ball-shaped or Ih with 12 pentagons and 20 hexagons. According to Euler's theorem these 12 pentagons are required for closure of the carbon network consisting...
    41 KB (4,408 words) - 16:52, 24 May 2025