In graph theory, a mixed graph G = (V, E, A) is a graph consisting of a set of vertices V, a set of (undirected) edges E, and a set of directed edges (or...
9 KB (1,278 words) - 05:01, 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) - 04:38, 28 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)...
28 KB (3,296 words) - 06:19, 16 March 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
In graph theory, two graphs G {\displaystyle G} and G ′ {\displaystyle G'} are homeomorphic if there is a graph isomorphism from some subdivision of G...
8 KB (932 words) - 03:42, 16 March 2025
undirected, mixed graphs, hypergraphs, and application-specific attributes. A GraphML file consists of an XML file containing a graph element, within...
4 KB (311 words) - 22:56, 23 December 2024
The mixed Chinese postman problem (MCPP or MCP) is the search for the shortest traversal of a graph with a set of vertices V, a set of undirected edges...
13 KB (2,123 words) - 23:51, 30 May 2024
In statistics and Markov modeling, an ancestral graph is a type of mixed graph to provide a graphical representation for the result of marginalizing one...
2 KB (216 words) - 23:01, 21 April 2024
context, as it is used to analyze the spectra of mixed graphs. The Hermitian-adjacency matrix of a mixed graph is another important concept, as it is a Hermitian...
20 KB (3,028 words) - 04:54, 28 April 2025
Multigraph (redirect from Mixed multigraph)
In mathematics, and more specifically in graph theory, a multigraph is a graph which is permitted to have multiple edges (also called parallel edges)...
8 KB (1,028 words) - 19:53, 10 April 2025
moral graph, two nodes that have a common child are required to be married by sharing an edge. Moralization may also be applied to mixed graphs, called...
3 KB (400 words) - 00:26, 18 November 2024
A graph database (GDB) is a database that uses graph structures for semantic queries with nodes, edges, and properties to represent and store data. A key...
54 KB (4,745 words) - 00:20, 1 May 2025
NP-hard problem in combinatorial optimization. In a complete weighted mixed graph, the ring star problem aims to find a minimum cost ring star subgraph...
7 KB (744 words) - 14:57, 6 January 2025
Capacitated arc routing problem (category Graph theory)
minimum graph/travel distance of a mixed graph with undirected edges and directed arcs given capacity constraints for objects that move along the graph that...
9 KB (1,027 words) - 05:24, 18 April 2025
In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, is a graph that encodes the abstract...
29 KB (4,692 words) - 13:34, 9 May 2025
Hypergraph (redirect from Host graph)
hypergraph is a generalization of a graph in which an edge can join any number of vertices. In contrast, in an ordinary graph, an edge connects exactly two...
47 KB (6,202 words) - 10:24, 4 May 2025
Robbins' theorem (category Graph connectivity)
orientation of the overall graph. An extension of Robbins' theorem to mixed graphs by Boesch & Tindell (1980) shows that, if G is a graph in which some edges...
9 KB (1,040 words) - 23:34, 29 January 2023
postman problem) for mixed graphs (having both directed and undirected edges). The program is solvable in polynomial time if the graph has all undirected...
29 KB (2,746 words) - 00:31, 24 April 2025
Propositional directed acyclic graph, a data structure in computer science Mixed graph or partially directed acyclic graph This disambiguation page lists...
179 bytes (52 words) - 17:52, 29 December 2019
graphs are a way of modeling a system of tasks to be scheduled and timing constraints that must be respected by the schedule. They are mixed graphs,...
4 KB (520 words) - 04:14, 15 December 2023
List of ONE Championship events (category Pages using the Graph extension)
is a list of events held and scheduled by the ONE Championship (ONE), a mixed martial arts promotion based in Singapore. ONE's inaugural event, ONE FC...
59 KB (155 words) - 16:00, 11 May 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
as edges, in a graph. Property graphs are multigraphs: there can be many edges between the same pair of nodes. GQL graphs can be mixed: they can contain...
37 KB (4,272 words) - 10:42, 5 January 2025
the family of initial stable sets in a mixed graph. For a distributive lattice, the corresponding mixed graph has no undirected edges, and the initial...
22 KB (2,980 words) - 15:23, 29 April 2025
Strong orientation (category Graph connectivity)
In graph theory, a strong orientation of an undirected graph is an assignment of a direction to each edge (an orientation) that makes it into a strongly...
16 KB (1,858 words) - 22:08, 17 February 2025
A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, but often called a Mason graph after Samuel Jefferson Mason who coined the...
76 KB (10,200 words) - 19:12, 2 November 2024
The objective in ARPs and NRPs is to traverse the edges and nodes of a graph, respectively. The objective of arc routing problems involves minimizing...
39 KB (4,812 words) - 00:10, 24 April 2025
Chinese postman problem (category Computational problems in graph theory)
In graph theory and combinatorial optimization, Guan's route problem, the Chinese postman problem, postman tour or route inspection problem is to find...
10 KB (1,297 words) - 19:53, 11 April 2025
The StoryGraph (sometimes shortened to just StoryGraph) is a social cataloguing web platform for books, serving as a competitor of Goodreads (an Amazon-owned...
7 KB (799 words) - 13:33, 27 April 2025