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As a corollary to the proof of the key theorem one obtain an upper bound on word-representants: 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] As an immediate corollary of the last statement, one has that the recognition problem of word-representability is in NP.
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 ...
A 3-tuple would be represented as (A, B, C), where A, B, and C are values of possibly different types. A tuple can be used to store values only when the number of values is known at design-time and stays constant during execution. A record is a type where the data members are named. Here is an example of record definition:
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Pronounced "A-star". A graph traversal and pathfinding algorithm which is used in many fields of computer science due to its completeness, optimality, and optimal efficiency. abductive logic programming (ALP) A high-level knowledge-representation framework that can be used to solve problems declaratively based on abductive reasoning. It extends normal logic programming by allowing some ...
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]
The open neighborhood of v in G may be denoted N G (v) or N(v), and the closed neighborhood may be denoted N G [v] or N[v]. When the openness or closedness of a neighborhood is not specified, it is assumed to be open. network A graph in which attributes (e.g. names) are associated with the nodes and/or edges. node A synonym for vertex. non-edge
The state graph of a suffix automaton is called a directed acyclic word graph (DAWG), a term that is also sometimes used for any deterministic acyclic finite state automaton. Suffix automata were introduced in 1983 by a group of scientists from the University of Denver and the University of Colorado Boulder .