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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...

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 implicit graph 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...

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...

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...

studied algorithms that perform standard graph computations on the complement of an input graph, using an implicit graph 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...

for an input that can be accessed only through queries, such as an implicit graph Query complexity in the decision tree model, the number of queries needed...

Jegelka, Stephanie; Kawaguchi, Kenji (2021). "Optimization of Graph Neural Networks: Implicit Acceleration by Skip Connections and More Depth". arXiv:2105...

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...

"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...

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 standardized query language for property graphs first described in ISO/IEC 76120, released in April 2024 by ISO/IEC. The...

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...

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

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...

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