• 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
  • Thumbnail for Cycle graph
    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
  • Thumbnail for Cycle (graph theory)
    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
  • Thumbnail for Petersen graph
    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
  • Thumbnail for Graph (discrete mathematics)
    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
  • Thumbnail for Zero-divisor graph
    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
  • Thumbnail for Hypercube graph
    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...
    13 KB (1,555 words) - 00:07, 10 May 2025
  • Thumbnail for Graph homomorphism
    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
  • Thumbnail for Cayley graph
    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
  • Thumbnail for Hamiltonian path
    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...
    6 KB (857 words) - 09:51, 10 April 2025
  • Thumbnail for Bipartite graph
    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
  • Thumbnail for Strongly regular graph
    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 (3,468 words) - 21:22, 9 February 2025
  • 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...
    3 KB (289 words) - 05:54, 15 November 2024
  • Thumbnail for Induced path
    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
  • Thumbnail for Graph theory
    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
  • Thumbnail for Kneser graph
    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...
    6 KB (969 words) - 18:11, 10 February 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