mathematics of infinite graphs, an end of an undirected graph represents, intuitively, a direction in which the graph extends to infinity. Ends may be formalized...
21 KB (3,112 words) - 03:20, 2 July 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
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
In discrete mathematics, particularly in graph theory, a graph is a structure consisting of a set of objects where some pairs of the objects are in some...
28 KB (3,671 words) - 08:11, 7 August 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 loop (also called a self-loop or a buckle) is an edge that connects a vertex to itself. A simple graph contains no loops. Depending...
3 KB (390 words) - 05:43, 12 April 2025
In graph theory, the degree (or valency) of a vertex of a graph is the number of edges that are incident to the vertex; in a multigraph, a loop contributes...
10 KB (1,276 words) - 13:10, 18 November 2024
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 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
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
spectral graph theory, a Ramanujan graph is a regular graph whose spectral gap is almost as large as possible (see extremal graph theory). Such graphs are...
20 KB (2,792 words) - 01:39, 7 May 2025
graph theory, a branch of mathematics, the rank of an undirected graph has two unrelated definitions. Let n equal the number of vertices of the graph...
3 KB (341 words) - 02:48, 2 May 2025
In graph theory, a k-degenerate graph is an undirected graph in which every subgraph has at least one vertex of degree at most k {\displaystyle k} . That...
31 KB (3,769 words) - 02:53, 17 March 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 (4,045 words) - 11:35, 4 July 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) - 08:14, 6 August 2025
end or ending in Wiktionary, the free dictionary. End, END, Ending, or ENDS may refer to: End (category theory) End (topology) End (graph theory) End...
3 KB (368 words) - 21:52, 15 July 2025
In the mathematical field of graph theory, a complete bipartite graph or biclique is a special kind of bipartite graph where every vertex of the first...
12 KB (960 words) - 08:06, 6 April 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 (1,255 words) - 16:48, 30 July 2025
In graph theory, a haven is a certain type of function on sets of vertices in an undirected graph. If a haven exists, it can be used by an evader to win...
15 KB (2,133 words) - 18:37, 4 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
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
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
geometric group theory. The structure and symmetry of Cayley graphs make them particularly good candidates for constructing expander graphs. Let G {\displaystyle...
29 KB (4,692 words) - 21:36, 19 June 2025
Laplacian matrix of the graph. The Cheeger inequality is a fundamental result and motivation for spectral graph theory. Spectral graph theory Algebraic connectivity...
7 KB (873 words) - 09:33, 2 August 2025
discipline of graph theory, the (m,n)-lollipop graph is a special type of graph consisting of a complete graph (clique) on m vertices and a path graph on n vertices...
2 KB (181 words) - 23:58, 29 May 2025
In the mathematical domain of graph theory, a bidirected graph (introduced by Edmonds & Johnson 1970) is a graph in which each edge is given an independent...
3 KB (347 words) - 02:52, 2 June 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) - 13:18, 10 July 2025
In graph theory, the hypercube graph Qn is the edge graph of the n-dimensional hypercube, that is, it is the graph formed from the vertices and edges...
13 KB (1,565 words) - 20:37, 30 July 2025
In graph theory, a strongly regular graph (SRG) is a regular graph G = (V, E) with v vertices and degree k such that for some given integers λ , μ ≥ 0...
21 KB (3,491 words) - 19:25, 2 June 2025
In graph theory, the triameter is a metric invariant that generalizes the concept of a graph's diameter. It is defined as the maximum sum of pairwise...
14 KB (1,346 words) - 09:43, 18 June 2025