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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]
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.
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]
Flags of certain countries at the Élysée Palace in Paris for a peace conference regarding Libya, 2011. The national flags (other than that of the host, France) are arranged in French alphabetical order: Allemagne, Belgique, Canada, Danemark, Émirats Arabes Unis, Espagne, États-Unis, Grèce, Irak, Italie, Jordanie, Maroc, Norvège, Pays-Bas, Pologne, Qatar, Royaume-Uni.
The letters A, E, I, O, and U are considered vowel letters, since (except when silent) they represent vowels, although I and U represent consonants in words such as "onion" and "quail" respectively. The letter Y sometimes represents a consonant (as in "young") and sometimes a vowel (as in "myth").
A term graph is a representation of an expression in a formal language as a generalized graph whose vertices are terms [clarify]. [1] Term graphs are a more powerful form of representation than expression trees because they can represent not only common subexpressions (i.e. they can take the structure of a directed acyclic graph) but also cyclic/recursive subexpressions (cyclic digraphs).
1. A pointed or protruding top or other vertical projection on a landform, e.g. a mountain, especially implying the highest point or elevational maximum, i.e. the summit. [4] 2. A mountain as a whole, in particular a high, isolated, or prominent one. pediment