Graph of groups information

In geometric group theory, a graph of groups is an object consisting of a collection of groups indexed by the vertices and edges of a graph, together with...

graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, is a graph that encodes the abstract structure of a group....

universal property. Free groups first arose in the study of hyperbolic geometry, as examples of Fuchsian groups (discrete groups acting by isometries on...

In graph theory, a cycle graph or circular graph is a graph that consists of a single cycle, or in other words, some number of vertices (at least 3, if...

represents a measured value. Some bar graphs present bars clustered in groups of more than one, showing the values of more than one measured variable. Many...

Bounded-parameter graphs Graphs of bounded treewidth Graphs of bounded genus (Planar graphs are graphs of genus 0.) Graphs of bounded degree Graphs with bounded...

mathematics, a graph partition is the reduction of a graph to a smaller graph by partitioning its set of nodes into mutually exclusive groups. Edges of the original...

mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed edges...

mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context...

mathematical field of graph theory, the Petersen graph is an undirected graph with 10 vertices and 15 edges. It is a small graph that serves as a useful...

graphs in connection to group theory, particularly automorphism groups and geometric group theory. The focus is placed on various families of graphs based...

A key concept of the system is the graph (or edge or relationship). The graph relates the data items in the store to a collection of nodes and edges...

combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical...

A graph neural network (GNN) belongs to a class of artificial neural networks for processing data that can be represented as graphs. In the more general...

Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes or...

layers and groups as subclasses. A visibility member, for example, would be a feature of a layer, but not necessarily of a group. Scene graphs are useful...

theorem, all groups can be represented as the automorphism group of a connected graph – indeed, of a cubic graph. Constructing the automorphism group is at least...

GQL (Graph Query Language) is a standard graph query language published 2024-04-12 as ISO/IEC 39075:2024 Information technology — Database languages —...

abelian group is a direct product of cyclic groups. Every cyclic group of prime order is a simple group, which cannot be broken down into smaller groups. In...

In algebraic topology and graph theory, graph homology describes the homology groups of a graph, where the graph is considered as a topological space....

platform offers a set of programming interfaces and tools which enable developers to integrate with the open "social graph" of personal relations and...

In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly...

graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject...