In graph theory, a cut is a partition of the vertices of a graph into two disjoint subsets. Any cut determines a cut-set, the set of edges that have one...
10 KB (1,132 words) - 00:50, 30 August 2024
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 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
Graph cut may refer to: Cut (graph theory), in mathematics Graph cut optimization Graph cuts in computer vision This disambiguation page lists articles...
153 bytes (50 words) - 16:09, 28 December 2019
In graph theory, a minimum cut or min-cut of a graph is a cut (a partition of the vertices of a graph into two disjoint subsets) that is minimal in some...
6 KB (732 words) - 10:53, 4 June 2024
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) - 18:32, 30 April 2025
specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set...
6 KB (806 words) - 05:45, 12 April 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 a graph, a maximum cut is a cut whose size is at least the size of any other cut. That is, it is a partition of the graph's vertices into two complementary...
25 KB (3,125 words) - 19:44, 11 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
Biconnected component (redirect from Cut vertex)
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 (1,389 words) - 01:25, 8 June 2025
In graph theory, an undirected graph H is called a minor of the graph G if H can be formed from G by deleting edges, vertices and by contracting edges...
35 KB (4,046 words) - 02:37, 30 December 2024
In mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors...
15 KB (1,844 words) - 20:28, 19 February 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
computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context...
50 KB (6,237 words) - 21:13, 9 May 2025
of graph theory, a cubic graph is a graph in which all vertices have degree three. In other words, a cubic graph is a 3-regular graph. Cubic graphs are...
15 KB (1,777 words) - 22:39, 19 June 2025
In graph theory, a split of an undirected graph is a cut whose cut-set forms a complete bipartite graph. A graph is prime if it has no splits. The splits...
10 KB (1,328 words) - 00:18, 8 November 2023
In theoretical computer science, graph theory, and mathematics, the conductance is a parameter of a Markov chain that is closely tied to its mixing time...
9 KB (1,428 words) - 07:38, 17 June 2025
In the mathematical area of graph theory, Kőnig's theorem, proved by Dénes Kőnig (1931), describes an equivalence between the maximum matching problem...
24 KB (3,433 words) - 02:46, 12 December 2024
Laplacian matrix (redirect from Kirchhoff matrix (of a graph))
In the mathematical field of graph theory, the Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix, or discrete Laplacian...
45 KB (5,042 words) - 19:15, 16 May 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 (2,328 words) - 11:46, 21 March 2025
In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique...
14 KB (1,253 words) - 18:25, 9 May 2025
In graph theory, an expander graph is a sparse graph that has strong connectivity properties, quantified using vertex, edge or spectral expansion. Expander...
41 KB (5,391 words) - 22:16, 19 June 2025
terminal for mainframe computers Cut (graph theory) Cut (manga), a 2008 Japanese manga Cut (novel), by Patricia McCormick Cut (censorship), removal of a scene...
4 KB (549 words) - 02:18, 4 May 2025
Flow network (redirect from Transportation network (graph theory))
In graph theory, a flow network (also known as a transportation network) is a directed graph where each edge has a capacity and each edge receives a flow...
22 KB (3,081 words) - 23:45, 10 March 2025
In graph theory, a branch of combinatorial mathematics, a block graph or clique tree is a type of undirected graph in which every biconnected component...
8 KB (985 words) - 08:35, 13 January 2025
al. (2013). Two common examples of graph partitioning are minimum cut and maximum cut problems. Typically, graph partition problems fall under the category...
25 KB (2,979 words) - 01:25, 19 June 2025
after the concept of cut in the theory of flow networks. Thanks to the max-flow min-cut theorem, determining the minimum cut over a graph representing a flow...
26 KB (4,232 words) - 22:00, 7 April 2025
bridgeless graph has a cycle-continuous mapping to the Petersen graph. More unsolved problems in mathematics In the mathematical field of graph theory, the...
24 KB (2,993 words) - 04:57, 12 April 2025
cuckoo hashing cuckoo filter cut (graph theory) cut (logic programming) cutting plane cutting stock problem cutting theorem cut vertex cycle sort cyclic redundancy...
35 KB (3,135 words) - 18:46, 6 May 2025