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The California Job Case was a compartmentalized box for printing in the 19th century, sizes corresponding to the commonality of letters. The frequency of letters in text has been studied for use in cryptanalysis, and frequency analysis in particular, dating back to the Arab mathematician al-Kindi (c. AD 801–873 ), who formally developed the method (the ciphers breakable by this technique go ...
While each non-complete word-representable graph G is 2(n − κ(G))-representable, where κ(G) is the size of a maximal clique in G, [7] the highest known representation number is floor(n/2) given by crown graphs with an all-adjacent vertex. [7] Interestingly, such graphs are not the only graphs that require long representations. [15]
Also narrow. A land or water passage that is confined or restricted by its narrow breadth, often a strait or a water gap. nation A stable community of people formed on the basis of a common geographic territory, language, economy, ethnicity, or psychological make-up as manifested in a common culture. national mapping agency A governmental agency which manages, produces, and publishes ...
The black dot shows the point with coordinates x = 2, y = 3, and z = 4, or (2, 3, 4). A Cartesian coordinate system for a three-dimensional space consists of an ordered triplet of lines (the axes ) that go through a common point (the origin ), and are pair-wise perpendicular; an orientation for each axis; and a single unit of length for all ...
The web graph W 4,2 is a cube. The web graph W n,r is a graph consisting of r concentric copies of the cycle graph C n, with corresponding vertices connected by "spokes". Thus W n,1 is the same graph as C n, and W n,2 is a prism. A web graph has also been defined as a prism graph Y n+1, 3, with the edges of the outer cycle removed. [7] [10]
A bridgeless graph is one that has no bridges; equivalently, a 2-edge-connected graph. 2. A bridge of a subgraph H is a maximal connected subgraph separated from the rest of the graph by H. That is, it is a maximal subgraph that is edge-disjoint from H and in which each two vertices and edges belong to a path that is internally disjoint from H.
The complete graph on n vertices is denoted by K n.Some sources claim that the letter K in this notation stands for the German word komplett, [4] but the German name for a complete graph, vollständiger Graph, does not contain the letter K, and other sources state that the notation honors the contributions of Kazimierz Kuratowski to graph theory.
An initial sound table (German: Anlauttabel) is a table, list or chart which shows a letter together with a picture of the things whose word start with that letter.They are commonly used in German classrooms for language teaching.