• Thumbnail for Star (graph theory)
    In graph theory, a star Sk is the complete bipartite graph K1,k : a tree with one internal node and k leaves (but no internal nodes and k + 1 leaves when...
    7 KB (702 words) - 06:39, 6 March 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
  • 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
  • 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
  • Thumbnail for Symmetric graph
    In the mathematical field of graph theory, a graph G is symmetric or arc-transitive if, given any two ordered pairs of adjacent vertices ( u 1 , v 1 )...
    11 KB (1,173 words) - 18:06, 9 May 2025
  • Thumbnail for Book (graph theory)
    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) - 23:05, 29 October 2024
  • Thumbnail for Tree (graph theory)
    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...
    27 KB (3,383 words) - 16:48, 14 March 2025
  • Thumbnail for Snark (graph theory)
    In the mathematical field of graph theory, a snark is an undirected graph with exactly three edges per vertex whose edges cannot be colored with only three...
    23 KB (2,760 words) - 03:12, 27 January 2025
  • Thumbnail for Complete bipartite graph
    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, an edge-transitive graph is a graph G such that, given any two edges e1 and e2 of G, there is an automorphism...
    5 KB (515 words) - 21:50, 15 January 2025
  • Thumbnail for Dimension (graph theory)
    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
  • of graphs contains definitions of graphs and graph families. For collected definitions of graph theory terms that do not refer to individual graph types...
    14 KB (1,247 words) - 18:21, 11 May 2025
  • Thumbnail for Cubic graph
    of graph theory, a cubic graph is a graph in which all vertices have degree three. In other words, a cubic graph is a 3-regular graph. Cubic graphs are...
    15 KB (1,777 words) - 20:46, 11 March 2024
  • 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 Generalized Petersen graph
    In graph theory, the generalized Petersen graphs are a family of cubic graphs formed by connecting the vertices of a regular polygon to the corresponding...
    13 KB (1,397 words) - 11:53, 26 January 2025
  • Thumbnail for Graph coloring
    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 (8,459 words) - 05:58, 16 May 2025
  • Thumbnail for Double-star snark
    In the mathematical field of graph theory, the double-star snark is a snark with 30 vertices and 45 edges. In 1975, Rufus Isaacs introduced two infinite...
    2 KB (206 words) - 07:53, 18 November 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...
    44 KB (5,360 words) - 18:02, 9 May 2025
  • In graph theory and order theory, a comparability graph is an undirected graph that connects pairs of elements that are comparable to each other in a...
    13 KB (1,398 words) - 07:00, 10 May 2025
  • Thumbnail for Forbidden graph characterization
    In graph theory, a branch of mathematics, many important families of graphs can be described by a finite set of individual graphs that do not belong to...
    17 KB (1,224 words) - 20:13, 16 April 2025
  • position in combinatorial game theory Star (graph theory), a graph with a structure that resembles a star Star (simplicial complex), the set of simplices...
    15 KB (1,694 words) - 17:14, 14 May 2025
  • In graph theory, the strong perfect graph theorem is a forbidden graph characterization of the perfect graphs as being exactly the graphs that have neither...
    15 KB (1,769 words) - 23:06, 16 October 2024
  • In the mathematical field of graph theory, an antiprism graph is a graph that has one of the antiprisms as its skeleton. An n-sided antiprism has 2n vertices...
    2 KB (237 words) - 21:16, 16 June 2022
  • Thumbnail for Möbius–Kantor graph
    In the mathematical field of graph theory, the Möbius–Kantor graph is a symmetric bipartite cubic graph with 16 vertices and 24 edges named after August...
    13 KB (1,529 words) - 17:51, 9 May 2025
  • mathematical field of graph theory, a prism graph is a graph that has one of the prisms as its skeleton. The individual graphs may be named after the...
    8 KB (1,003 words) - 08:57, 20 February 2025
  • Thumbnail for Dominating set
    In graph theory, a dominating set for a graph G is a subset D of its vertices, such that any vertex of G is in D, or has a neighbor in D. The domination...
    31 KB (4,082 words) - 23:42, 29 April 2025
  • Thumbnail for Branch-decomposition
    Branch-decomposition (category Trees (graph theory))
    In graph theory, a branch-decomposition of an undirected graph G is a hierarchical clustering of the edges of G, represented by an unrooted binary tree...
    21 KB (2,449 words) - 02:47, 16 March 2025
  • Thumbnail for Algebraic connectivity
    Graph Theory, Combinatorics, and Applications. Proceedings of the sixth quadrennial international conference on the theory and applications of graphs...
    9 KB (1,014 words) - 12:49, 1 May 2025
  • Tree-depth (category Graph minor theory)
    In graph theory, the tree-depth of a connected undirected graph G {\displaystyle G} is a numerical invariant of G {\displaystyle G} , the minimum height...
    21 KB (2,817 words) - 08:49, 16 July 2024
  • Thumbnail for Star coloring
    In the mathematical field of graph theory, a star coloring of a graph G is a (proper) vertex coloring in which every path on four vertices uses at least...
    5 KB (477 words) - 08:41, 16 July 2024