In graph theory, a branch of mathematics, a map graph is an undirected graph formed as the intersection graph of finitely many simply connected and internally...
7 KB (811 words) - 20:54, 21 December 2024
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect...
36 KB (4,589 words) - 21:30, 18 July 2025
topology and graph theory, a map is a subdivision of a surface such as the Euclidean plane into interior-disjoint regions, formed by embedding a graph onto the...
901 bytes (111 words) - 14:56, 13 February 2025
the vertex sets of two graphs that maps adjacent vertices to adjacent vertices. Homomorphisms generalize various notions of graph colorings and allow the...
38 KB (4,860 words) - 20:28, 9 May 2025
Regular maps are typically defined and studied in three ways: topologically, group-theoretically, and graph-theoretically. Topologically, a map is a 2-cell...
16 KB (1,104 words) - 17:54, 15 March 2025
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 (8,461 words) - 08:14, 6 August 2025
knowledge graph is a knowledge base that uses a graph-structured data model or topology to represent and operate on data. Knowledge graphs are often used...
21 KB (2,341 words) - 14:59, 23 July 2025
Four color theorem (redirect from Map-coloring problem)
planar graph can be formed from a map in this way. In graph-theoretic terminology, the four-color theorem states that the vertices of every planar graph can...
49 KB (6,333 words) - 16:01, 23 July 2025
if the graph changes over time by adding and deleting edges (dynamic graph drawing) and the goal is to preserve the user's mental map. Graphs are frequently...
33 KB (3,554 words) - 05:14, 15 July 2025
In topological graph theory, a 1-planar graph is a graph that can be drawn in the Euclidean plane in such a way that each edge has at most one crossing...
24 KB (2,757 words) - 12:14, 12 August 2024
computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context...
50 KB (6,237 words) - 15:29, 3 August 2025
In topological graph theory, a graph-encoded map or gem is a method of encoding a cellular embedding of a graph using a different graph with four vertices...
4 KB (639 words) - 20:38, 14 February 2022
the definition above maps one edge to another, a symmetric graph must also be edge-transitive. However, an edge-transitive graph need not be symmetric...
11 KB (1,173 words) - 21:12, 29 July 2025
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) - 19:55, 12 October 2024
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
phone network protocol Map (mathematics), generalizations of the concept of function Map (graph theory), a drawing of a graph on a surface without overlapping...
5 KB (716 words) - 22:22, 6 June 2025
mathematical field of graph theory, the Heawood graph is an undirected graph with 14 vertices and 21 edges, named after Percy John Heawood. The graph is cubic, and...
10 KB (1,001 words) - 06:23, 6 March 2025
of graph theory, an automorphism is a permutation of the vertices such that edges are mapped to edges and non-edges are mapped to non-edges. A graph is...
6 KB (646 words) - 00:09, 28 December 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 (707 words) - 23:20, 29 June 2025
{\displaystyle n\times m} king's graph is a king's graph of an n × m {\displaystyle n\times m} chessboard. It is the map graph formed from the squares of a...
6 KB (647 words) - 17:50, 21 October 2024
Logic optimization (redirect from K-map within K-map)
Euler (1707–1783) Venn diagram (1880) by John Venn (1834–1923) Karnaugh map (1953) by Maurice Karnaugh The same methods of Boolean expression minimization...
16 KB (1,657 words) - 13:37, 23 April 2025
A conceptual graph (CG) is a formalism for knowledge representation. In the first published paper on CGs, John F. Sowa used them to represent the conceptual...
6 KB (763 words) - 09:40, 13 July 2024
A combinatorial map is a combinatorial representation of a graph on an orientable surface. A combinatorial map may also be called a combinatorial embedding...
15 KB (1,498 words) - 00:46, 5 April 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) - 12:09, 30 June 2025
can be used to map geometric tiled or tesselated designs among other uses. Isometric graph paper or 3D graph paper is a triangular graph paper which uses...
9 KB (973 words) - 03:26, 15 March 2025
OpenStreetMap data for the road network and elevation data from the Shuttle Radar Topography Mission is used. The front-end is open-source too and called GraphHopper...
7 KB (631 words) - 23:46, 30 December 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...
53 KB (4,715 words) - 16:22, 7 August 2025
Graph neural networks (GNN) are specialized artificial neural networks that are designed for tasks whose inputs are graphs. One prominent example is molecular...
43 KB (4,802 words) - 14:49, 3 August 2025
usually one or two sentences long, which accompanies a photograph, picture, map, graph, pictorial illustration, figure, table or some other form of graphic content...
2 KB (243 words) - 05:01, 5 March 2025
can take negative values. A graph of the map can also be used to learn much about its behavior. The graph of the logistic map x n + 1 = r x ( 1 − x n )...
145 KB (18,833 words) - 11:24, 2 August 2025