theory, a subfield of abstract algebra, a cycle graph of a group is an undirected graph that illustrates the various cycles of that group, given a set of...
21 KB (2,007 words) - 21:40, 19 May 2024
related to Cycle graphs. Complete bipartite graph Complete graph Circulant graph Cycle graph (algebra) Null graph Path graph Some simple graph spectra....
5 KB (518 words) - 00:45, 8 October 2024
In graph theory, a cycle in a graph is a non-empty trail in which only the first and last vertices are equal. A directed cycle in a directed graph is...
15 KB (1,857 words) - 03:10, 25 February 2025
detection (graph theory), the algorithmic problem of finding cycles in graphs Other similarly-named concepts include Cycle graph (algebra), a graph that illustrates...
1 KB (215 words) - 02:41, 9 January 2023
terms from algebraic topology as the first homology group of the graph. Using homology theory, the binary cycle space may be generalized to cycle spaces over...
18 KB (2,512 words) - 00:01, 29 August 2024
a graph C*-algebra is a universal C*-algebra constructed from a directed graph. Graph C*-algebras are direct generalizations of the Cuntz algebras and...
26 KB (4,543 words) - 11:37, 2 January 2025
function, a periodic function Cycle graph, a connected, 2-regular graph Cycle graph (algebra), a diagram representing the cycles determined by taking powers...
2 KB (261 words) - 02:33, 8 May 2023
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
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) - 04:30, 15 May 2025
mathematics, the term cycle decomposition can mean: Cycle decomposition (graph theory), a partitioning of the vertices of a graph into subsets, such that...
596 bytes (113 words) - 17:20, 9 November 2016
and more specifically in combinatorial commutative algebra, a zero-divisor graph is an undirected graph representing the zero divisors of a commutative ring...
6 KB (783 words) - 20:54, 7 November 2023
In graph theory, the hypercube graph Qn is the graph formed from the vertices and edges of an n-dimensional hypercube. For instance, the cube graph Q3...
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rich algebraic structures: a preorder on graphs, a distributive lattice, and a category (one for undirected graphs and one for directed graphs). The...
38 KB (4,860 words) - 20:28, 9 May 2025
J., Domke, Gayla S., Miller, Valerie A. (1997), The rank of a graph after vertex addition. Linear Algebra and its Applications, vol. 265, pp. 55–69....
3 KB (341 words) - 02:48, 2 May 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) - 18:32, 30 April 2025
Vertex-transitive graph Generating set of a group Lovász conjecture Cube-connected cycles Algebraic graph theory Cycle graph (algebra) Proof: Let σ : V...
29 KB (4,692 words) - 13:34, 9 May 2025
a Leavitt path algebra is a universal algebra constructed from a directed graph. Leavitt path algebras generalize Leavitt algebras and may be considered...
16 KB (2,854 words) - 18:17, 6 May 2025
Hamiltonian path (redirect from Hamiltonian graph)
finding a Hamiltonian cycle in the edge graph of the dodecahedron. Hamilton solved this problem using the icosian calculus, an algebraic structure based on...
19 KB (2,043 words) - 13:05, 14 May 2025
The smallest graphs that are regular but not strongly regular are the cycle graph and the circulant graph on 6 vertices. The complete graph Km is strongly...
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usually called the parts of the graph. Equivalently, a bipartite graph is a graph that does not contain any odd-length cycles. The two sets U {\displaystyle...
33 KB (4,093 words) - 00:09, 21 October 2024
its eigenvalues are real algebraic integers. While the adjacency matrix depends on the vertex labeling, its spectrum is a graph invariant, although not...
15 KB (1,844 words) - 20:28, 19 February 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...
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example, Bondy and Murty (1976), Gibbons (1985), or Diestel (2005). In algebra, path graphs appear as the Dynkin diagrams of type A. As such, they classify the...
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Induced path (redirect from Graph hole)
hypercube graphs is known as the snake-in-the-box problem. Similarly, an induced cycle is a cycle that is an induced subgraph of G; induced cycles are also...
13 KB (1,486 words) - 07:48, 18 July 2024
of the graph and n − c is the rank of the oriented incidence matrix. This name is rarely used; the number is more commonly known as the cycle rank, cyclomatic...
2 KB (318 words) - 07:40, 18 November 2024
In graph theory, a branch of mathematics, a skew-symmetric graph is a directed graph that is isomorphic to its own transpose graph, the graph formed by...
17 KB (2,318 words) - 08:39, 16 July 2024
algorithm Graph theorists Algebraic graph theory Geometric graph theory Extremal graph theory Probabilistic graph theory Topological graph theory Graph drawing...
50 KB (6,237 words) - 21:13, 9 May 2025
In graph theory, the Kneser graph K(n, k) (alternatively KGn,k) is the graph whose vertices correspond to the k-element subsets of a set of n elements...
14 KB (1,645 words) - 10:24, 17 April 2025
of distance-regular graphs include: The complete graphs. The cycle graphs. The odd graphs. The Moore graphs. The collinearity graph of a regular near polygon...
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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