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...

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...

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...

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...

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...

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...

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

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

connection with the study of graph algorithms for graphs defined in an implicit graph model, where an algorithm has access to the graph only through a subroutine...

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...

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 39075, released in April 2024 by ISO/IEC. The...

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...

large implicitly-defined graph. An undirected graph consists of a system of vertices, and edges connecting unordered pairs of vertices. In any graph, the...

the graph of a continuous function of two variables. The set of the zeros of a function of three variables is a surface, which is called an implicit surface...

semantic graph (ASG) or term graph is a form of abstract syntax in which an expression of a formal or programming language is represented by a graph whose...

is implicitly assumed to be finite unless stated otherwise. A graph dynamical system is constructed from the following components: A finite graph Y with...

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...

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...

"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...

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

y-axis, and that, at this point, g does not define an implicit function from x to y (see implicit function theorem). If (x0, y0) is such a critical point...