In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph...
30 KB (3,443 words) - 23:25, 29 June 2025
mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) that need...
17 KB (2,062 words) - 23:37, 25 March 2025
In the mathematical theory of directed graphs, a graph is said to be strongly connected if every vertex is reachable from every other vertex. The strongly...
13 KB (1,642 words) - 16:35, 24 July 2025
In graph theory, a bridge, isthmus, cut-edge, or cut arc is an edge of a graph whose deletion increases the graph's number of connected components. Equivalently...
11 KB (1,476 words) - 01:30, 16 June 2025
component may refer to: Connected component (graph theory), a set of vertices in a graph that are linked to each other by paths Connected component (topology)...
433 bytes (95 words) - 18:11, 22 February 2024
In graph theory, a biconnected component or block (sometimes known as a 2-connected component) is a maximal biconnected subgraph. Any connected graph decomposes...
12 KB (1,398 words) - 11:33, 21 June 2025
The theory of random graphs lies at the intersection between graph theory and probability theory. From a mathematical perspective, random graphs are used...
15 KB (2,307 words) - 11:46, 21 March 2025
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...
109 KB (16,011 words) - 12:09, 30 June 2025
multiple values or color components Component (group theory), a quasi-simple subnormal sub-group Connected component (graph theory), a maximal connected...
2 KB (280 words) - 12:12, 8 November 2024
Eulerian path (redirect from Eulerian graph)
In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices)...
29 KB (3,461 words) - 16:30, 26 July 2025
In graph theory, a cycle in a graph is a non-empty trail in which only the first and last vertices are equal. A directed cycle in a directed graph is...
15 KB (1,857 words) - 17:58, 5 August 2025
Connected space (redirect from Path-connected component)
above-mentioned topologist's sine curve. Mathematics portal Connected component (graph theory) – Maximal subgraph whose vertices can reach each otherPages displaying...
27 KB (3,874 words) - 20:36, 24 March 2025
Bivariegated graph Cage (graph theory) Cayley graph Circle graph Clique graph Cograph Common graph Complement of a graph Complete graph Cubic graph Cycle graph De...
7 KB (663 words) - 02:52, 24 September 2024
In graph theory, the star Sk is the complete bipartite graph K1, k, that it, it is a tree with one internal node and k leaves. Alternatively, some authors...
8 KB (743 words) - 17:32, 28 July 2025
graph theory, a branch of combinatorial mathematics, a block graph or clique tree is a type of undirected graph in which every biconnected component (block)...
8 KB (986 words) - 08:35, 13 January 2025
In graph theory, a clique (/ˈkliːk/ or /ˈklɪk/) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are...
20 KB (2,483 words) - 12:35, 24 June 2025
random graphs Fractal – Infinitely detailed mathematical structure Giant component – Large connected component of a random graph Graph theory – Area of...
26 KB (3,133 words) - 06:05, 15 July 2025
In 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...
16 KB (1,937 words) - 05:02, 12 April 2025
strongly connected components algorithm is an algorithm in graph theory for finding the strongly connected components (SCCs) of a directed graph. It runs in...
13 KB (1,732 words) - 20:54, 1 August 2025
science, network theory is a part of graph theory. It defines networks as graphs where the vertices or edges possess attributes. Network theory analyses these...
35 KB (3,959 words) - 04:41, 15 June 2025
Geometric graph theory in the broader sense is a large and amorphous subfield of graph theory, concerned with graphs defined by geometric means. In a stricter...
7 KB (934 words) - 20:16, 2 December 2024
discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential...
196 KB (20,120 words) - 20:23, 30 July 2025
In mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it...
45 KB (5,646 words) - 17:54, 7 June 2025
In graph theory, a tree is an undirected graph in which every pair of distinct vertices is connected by exactly one path, or equivalently, a connected...
27 KB (3,385 words) - 16:11, 18 July 2025
network theory, a giant component is a connected component of a given random graph that contains a significant fraction of the entire graph's vertices...
10 KB (1,440 words) - 00:34, 20 June 2025
matroid theory of graphs the rank of an undirected graph is defined as the number n − c, where c is the number of connected components of the graph. Equivalently...
3 KB (341 words) - 02:48, 2 May 2025
In graph theory, a graph property or graph invariant is a property of graphs that depends only on the abstract structure, not on graph representations...
10 KB (1,182 words) - 09:40, 26 April 2025
mathematical discipline of graph theory, the dual graph of a planar graph G is a graph that has a vertex for each face of G. The dual graph has an edge for each...
51 KB (6,607 words) - 00:16, 3 April 2025
Erdős–Rényi model (redirect from Erdos–Renyi random graph)
mathematical field of graph theory, the Erdős–Rényi model refers to one of two closely related models for generating random graphs or the evolution of a...
19 KB (2,784 words) - 05:56, 9 April 2025
Connected component (graph theory) Connected sum Cross-link Network Scale-free network Simply connected Small-world network Strongly connected component Totally...
7 KB (854 words) - 16:47, 29 April 2025