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 as explicit objects in a computer's memory, but rather are determined algorithmically from some other input, for example a computable function.
In the study of graph algorithms, an implicitgraph representation (or more simply implicitgraph) 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...
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...
on graphs can be translated to words representing them and solved on words (efficiently)? The implicitgraph conjecture on the existence of implicit representations...
retrieving implicit knowledge rather than only allowing queries requesting explicit knowledge. In order to allow the use of knowledge graphs in various...
studied algorithms that perform standard graph computations on the complement of an input graph, using an implicitgraph representation that does not require...
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...
Jegelka, Stephanie; Kawaguchi, Kenji (2021). "Optimization of Graph Neural Networks: Implicit Acceleration by Skip Connections and More Depth". arXiv:2105...
for an input that can be accessed only through queries, such as an implicitgraph Query complexity in the decision tree model, the number of queries needed...
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 implicitgraph search, Journal of the ACM Volume 55 Issue 6 (December 2008), Article...
graph-based data structures are used in computer science and related fields: Graph Adjacency list Adjacency matrix Graph-structured stack Scene graph...
GQL (Graph Query Language) is a standard graph query language published by ISO in April 2024. The GQL project is the culmination of converging initiatives...
group is equipped with a further oracle for determining element orders. Implicitgraph Matroid oracle Babai, L.; Szemeredi, E. (1984). "On the Complexity of...
ways employed in the building of a dependency graph: The graph of dependencies are maintained implicitly within an event loop. Registration of explicit...
D){\vec {\in }}E} where ∈ → {\displaystyle {\vec {\in }}} means implicitly in. While graph edges connect only 2 nodes, hyperedges connect an arbitrary number...
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...
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...
processing. Spark provides an interface for programming clusters with implicit data parallelism and fault tolerance. Originally developed at the University...
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)...
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...
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