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two-dimensional lattice graph

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  • Lattice (group) — A lattice in the Euclidean plane. In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn …   Wikipedia

  • Graph drawing — This article is about the general subject of graph drawing. For the annual research symposium, see International Symposium on Graph Drawing. Graphic representation of a minute fraction of the WWW, demonstrating hyperlinks. Graph drawing is an… …   Wikipedia

  • Rook's graph — infobox graph name = Rook s graph image caption = 8x8 Rook s graph vertices = nm edges = nm ( n + m )/2 nm diameter = 2 chromatic number = max( n , m ) chromatic index = girth = 3 (if max( n , m ) ≥ 3) properties = regular, vertex transitive,… …   Wikipedia

  • Niemeier lattice — In mathematics, a Niemeier lattice is one of the 24 positive definite even unimodular lattices of rank 24, which were classified by Hans Volker Niemeier (1973). Venkov (1978) gave a simplified proof of the classification. Witt (1941) has a… …   Wikipedia

  • Median graph — The median of three vertices in a median graph In mathematics, and more specifically graph theory, a median graph is an undirected graph in which any three vertices a, b, and c have a unique median: a vertex m(a,b,c) that belongs to shortest… …   Wikipedia

  • Periodic graph (crystallography) — For other uses, see Periodic graph. A (large) unit cell of Diamond crystal net; the balls represent carbon atoms and the sticks represent covalent bonds …   Wikipedia

  • One-dimensional symmetry group — A one dimensional symmetry group is a mathematical group that describes symmetries in one dimension (1D). A pattern in 1D can be represented as a function f(x) for, say, the color at position x. The 1D isometries map x to x + a and to a − x.… …   Wikipedia

  • Shortcut model — An important question in statistical mechanics is the dependence of model behaviour on the dimension of the system. The shortcut modelcite journal|author=Shanker, O.|year=2007|title=Graph Zeta Function and Dimension of Complex… …   Wikipedia

  • Ising model — The Ising model, named after the physicist Ernst Ising, is a mathematical model in statistical mechanics. It has since been used to model diverse phenomena in which bits of information, interacting in pairs, produce collectiveeffects.Definition… …   Wikipedia

  • 24-cell — Schlegel diagram (vertices and edges) Type Convex regular 4 polytope Schläfli symbol {3,4,3} t …   Wikipedia

  • List of finite simple groups — In mathematics, the classification of finite simple groups states thatevery finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type (including the Tits group, which strictly speaking is not of Lie type),or… …   Wikipedia

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