In graph theory, a book graph (often written B p {\displaystyle B_{p}} ) may be any of several kinds of graph formed by multiple cycles sharing an edge...
5 KB (735 words) - 06:43, 11 December 2023
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 (1,825 words) - 10:14, 23 April 2024
mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context...
52 KB (6,403 words) - 19:53, 12 September 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...
107 KB (15,784 words) - 17:42, 20 August 2024
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) - 12:55, 5 July 2024
In graph theory, a tree is an undirected graph in which any two vertices are connected by exactly one path, or equivalently a connected acyclic undirected...
26 KB (3,380 words) - 03:57, 4 September 2024
topological graph theory is a branch of graph theory. It studies the embedding of graphs in surfaces, spatial embeddings of graphs, and graphs as topological...
5 KB (565 words) - 01:25, 16 August 2024
mathematical field of graph theory, the Petersen graph is an undirected graph with 10 vertices and 15 edges. It is a small graph that serves as a useful...
24 KB (2,933 words) - 00:46, 29 August 2024
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) - 07:48, 18 July 2024
In graph theory, the girth of an undirected graph is the length of a shortest cycle contained in the graph. If the graph does not contain any cycles (that...
7 KB (903 words) - 09:27, 5 June 2024
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 (6,580 words) - 02:26, 3 January 2024
Graph Theory, 1736–1936 is a book in the history of mathematics on graph theory. It focuses on the foundational documents of the field, beginning with...
5 KB (561 words) - 00:39, 9 February 2024
Chemical graph theory is the topology branch of mathematical chemistry which applies graph theory to mathematical modelling of chemical phenomena. The...
2 KB (256 words) - 01:54, 23 June 2022
(graph theory), a split graph consisting of p triangles sharing a common edge Book (wagering), a set of odds for the possible outcomes in betting Book, a...
2 KB (333 words) - 00:03, 13 May 2024
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 (1,244 words) - 01:42, 13 September 2024
In chemical graph theory and in mathematical chemistry, a molecular graph or chemical graph is a representation of the structural formula of a chemical...
4 KB (538 words) - 13:07, 5 August 2024
discipline of graph theory, a graph labeling is the assignment of labels, traditionally represented by integers, to edges and/or vertices of a graph. Formally...
9 KB (1,060 words) - 22:11, 26 March 2024
complete graph as a minor? (more unsolved problems in mathematics) In graph theory, the Hadwiger conjecture states that if G {\displaystyle G} is loopless...
19 KB (2,401 words) - 20:54, 27 March 2024
the mathematical field of graph theory, a toroidal graph is a graph that can be embedded on a torus. In other words, the graph's vertices and edges can be...
7 KB (693 words) - 09:03, 29 November 2023
graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject...
67 KB (7,996 words) - 16:56, 29 August 2024
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...
43 KB (5,299 words) - 10:28, 5 July 2024
Pearls in Graph Theory: A Comprehensive Introduction is an undergraduate-level textbook on graph theory by Nora Hartsfield and Gerhard Ringel. It was...
5 KB (627 words) - 13:21, 11 March 2023
In the mathematical field of graph theory, a graph G is symmetric (or arc-transitive) if, given any two pairs of adjacent vertices u1—v1 and u2—v2 of...
11 KB (1,158 words) - 12:55, 15 May 2023
In topological graph theory, an embedding (also spelled imbedding) of a graph G {\displaystyle G} on a surface Σ {\displaystyle \Sigma } is a representation...
13 KB (1,744 words) - 07:48, 18 July 2024
particularly in graph theory, the dimension of a graph is the least integer n such that there exists a "classical representation" of the graph in the Euclidean...
9 KB (1,045 words) - 06:19, 14 August 2023
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 (4,093 words) - 05:52, 26 August 2024
Normal to a graph Slope Stationary point Tetraview Vertical translation y-intercept Charles C Pinter (2014) [1971]. A Book of Set Theory. Dover Publications...
7 KB (961 words) - 12:35, 15 March 2024
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 (5,628 words) - 07:48, 20 May 2024
Frank Harary (category Graph theorists)
mathematician, who specialized in graph theory. He was widely recognized as one of the "fathers" of modern graph theory. Harary was a master of clear exposition...
19 KB (2,485 words) - 00:22, 13 August 2024
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