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) - 12:09, 30 June 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...
28 KB (3,424 words) - 14:56, 2 August 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) - 19:17, 15 July 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
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
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
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
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) - 14:42, 27 July 2025
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...
24 KB (3,032 words) - 23:25, 29 June 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
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 (3,564 words) - 07:50, 15 July 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 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 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
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, graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain...
70 KB (8,461 words) - 16:34, 7 July 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) - 15:29, 3 August 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
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
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...
36 KB (4,589 words) - 21:30, 18 July 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 (3,443 words) - 23:25, 29 June 2025
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
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
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 lattice graph, mesh graph, or grid graph is a graph whose drawing, embedded in some Euclidean space R n {\displaystyle \mathbb {R}...
4 KB (547 words) - 11:50, 28 June 2025
crossing number is the sum of positive and negative crossings Crossing number (graph theory) of a graph is the minimal number of edge intersections in any...
545 bytes (116 words) - 01:34, 20 November 2017