In the study of graph algorithms, an implicit graph representation (or more simply implicit graph) is a graph whose vertices or edges are not represented...

equations is locally the graph of a function. Augustin-Louis Cauchy (1789–1857) is credited with the first rigorous form of the implicit function theorem. Ulisse...

a graph of implicit states, which is of exponential size in the size of the description. In symbolic model checking, the model (the underlying graph) is...

on graphs can be translated to words representing them and solved on words (efficiently)? The implicit graph conjecture on the existence of implicit representations...

configurations in this graph is O ( 2 f ( n ) ) {\displaystyle O(2^{f(n)})} , from which it follows that applying the algorithm to this implicit graph uses space...

refer to the implicit solution y = f(x) involving the multi-valued implicit function f. Not every equation R(x, y) = 0 implies a graph of a single-valued...

studied algorithms that perform standard graph computations on the complement of an input graph, using an implicit graph representation that does not require...

retrieving implicit knowledge rather than only allowing queries requesting explicit knowledge. In order to allow the use of knowledge graphs in various...

Graph neural networks (GNN) are specialized artificial neural networks that are designed for tasks whose inputs are graphs. One prominent example is molecular...

tree or graph data structures. The algorithm starts at the root node (selecting some arbitrary node as the root node in the case of a graph) and explores...

In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether...

1016/S0747-7171(08)80001-6. Richard E. Korf, Linear-time disk-based implicit graph search, Journal of the ACM Volume 55 Issue 6 (December 2008), Article...

In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle...

is uniquely represented by the set of all pairs (x, f (x)), called the graph of the function, a popular means of illustrating the function. When the...

GQL (Graph Query Language) is a standardized query language for property graphs first described in ISO/IEC 39075, released in April 2024 by ISO/IEC. The...

graph-based data structures are used in computer science and related fields: Graph Adjacency list Adjacency matrix Graph-structured stack Scene graph...

the application of graph traversal methods in artificial intelligence the input may be an implicit representation of an infinite graph. In this context...

instance D L {\displaystyle D_{L}} has the structure of an implicit graph (also called Transition graph ), the vertices being the solutions with two solutions...

An existential graph is a type of diagrammatic or visual notation for logical expressions, created by Charles Sanders Peirce, who wrote on graphical logic...

Center. Balas, Egon (1969), "Machine sequencing via disjunctive graphs: An implicit enumeration algorithm", Operations Research, 17: 941–957, doi:10...

a universal graph is an infinite graph that contains every finite (or at-most-countable) graph as an induced subgraph. A universal graph of this type...

coordinates) by any of three methods, one of which is the implicit equation given above. The graph of a function is usually described by an equation y = f...

processing. Spark provides an interface for programming clusters with implicit data parallelism and fault tolerance. Originally developed at the University...

"the dependency graph of packages or components should have no cycles". This implies that the dependencies form a directed acyclic graph. In this UML package...

called the zero set of f, and is not the same as the graph of f, which is a paraboloid. The implicit function theorem converts relations such as f(x, y)...

group is equipped with a further oracle for determining element orders. Implicit graph Matroid oracle Babai, L.; Szemeredi, E. (1984). "On the Complexity of...

In graph theory, an n-dimensional De Bruijn graph of m symbols is a directed graph representing overlaps between sequences of symbols. It has mn vertices...

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zeros of a function of three variables. Implicit means that the equation is not solved for x or y or z. The graph of a function is usually described by...

A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, but often called a Mason graph after Samuel Jefferson Mason who coined the...