mathematical field of graph theory, the intersection number of a graph G = ( V , E ) {\displaystyle G=(V,E)} is the smallest number of elements in a representation...
35 KB (4,363 words) - 13:40, 25 February 2025
In graph theory, an intersection graph is a graph that represents the pattern of intersections of a family of sets. Any graph can be represented as an...
9 KB (1,144 words) - 23:24, 9 February 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
graph theory, the crossing number cr(G) of a graph G is the lowest number of edge crossings of a plane drawing of the graph G. For instance, a graph is...
27 KB (3,160 words) - 20:56, 12 March 2025
intervals intersect. It is the intersection graph of the intervals. Interval graphs are chordal graphs and perfect graphs. They can be recognized in linear...
22 KB (2,640 words) - 01:39, 27 August 2024
Extremal graph theory is a branch of combinatorics, itself an area of mathematics, that lies at the intersection of extremal combinatorics and graph theory. In...
10 KB (1,360 words) - 10:09, 11 June 2025
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
a line, the intersection number along the line should be at least two. These questions are discussed systematically in intersection theory. Let X be a...
18 KB (3,298 words) - 13:08, 13 June 2024
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 (2,501 words) - 18:00, 21 February 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
In graph theory, an independent set, stable set, coclique or anticlique is a set of vertices in a graph, no two of which are adjacent. That is, it is a...
30 KB (3,561 words) - 16:58, 9 June 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 the mathematical discipline of graph theory, a matching or independent edge set in an undirected graph is a set of edges without common vertices. In...
23 KB (2,938 words) - 21:25, 18 March 2025
In graph theory, graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain...
70 KB (8,459 words) - 05:58, 16 May 2025
Evolutionary graph theory is an area of research lying at the intersection of graph theory, probability theory, and mathematical biology. Evolutionary graph theory...
6 KB (704 words) - 18:37, 14 May 2025
postdominate any other strict postdominators of n. Control-flow graph Interval (graph theory) Static single assignment form Lengauer, Thomas; Tarjan, Robert...
10 KB (1,129 words) - 15:17, 4 June 2025
In set theory, the intersection of two sets A {\displaystyle A} and B , {\displaystyle B,} denoted by A ∩ B , {\displaystyle A\cap B,} is the set containing...
12 KB (1,734 words) - 23:16, 26 December 2023
In the mathematical field of graph theory, a permutation graph is a graph whose vertices represent the elements of a permutation, and whose edges represent...
8 KB (938 words) - 07:10, 16 February 2023
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
In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets...
33 KB (4,086 words) - 21:34, 28 May 2025
In graph theory, a circle graph is the intersection graph of a chord diagram. That is, it is an undirected graph whose vertices can be associated with...
15 KB (1,694 words) - 07:51, 18 July 2024
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
In the mathematical area of graph theory, a chordal graph is one in which all cycles of four or more vertices have a chord, which is an edge that is not...
19 KB (2,164 words) - 07:51, 18 July 2024
discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential...
195 KB (20,069 words) - 07:07, 11 June 2025
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect...
35 KB (4,541 words) - 18:29, 29 May 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
In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges...
44 KB (5,368 words) - 10:55, 7 June 2025
graph theory, a string graph is an intersection graph of curves in the plane; each curve is called a "string". Given a graph G, G is a string graph if...
13 KB (1,527 words) - 20:47, 9 June 2025
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 (3,441 words) - 05:04, 5 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 (2,328 words) - 11:46, 21 March 2025