plane subgraph
1Glossary of graph theory — Graph theory is a growing area in mathematical research, and has a large specialized vocabulary. Some authors use the same word with different meanings. Some authors use different words to mean the same thing. This page attempts to keep up with… …
2De Bruijn–Erdős theorem (graph theory) — This article is about coloring infinite graphs. For the number of lines determined by a finite set of points, see De Bruijn–Erdős theorem (incidence geometry). In graph theory, the De Bruijn–Erdős theorem, proved by Nicolaas Govert de Bruijn and… …
3Planar graph — Example graphs Planar Nonplanar Butterfly graph K5 The complete graph K4 …
4List of NP-complete problems — Here are some of the more commonly known problems that are NP complete when expressed as decision problems. This list is in no way comprehensive (there are more than 3000 known NP complete problems). Most of the problems in this list are taken… …
5Pseudotriangle — In Euclidean plane geometry, a pseudotriangle is the simply connected subset of the plane that lies between any three mutually tangent convex sets. A pseudotriangulation is a partition of a region of the plane into pseudotriangles, and a pointed… …
6combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… …
7Minimum spanning tree — The minimum spanning tree of a planar graph. Each edge is labeled with its weight, which here is roughly proportional to its length. Given a connected, undirected graph, a spanning tree of that graph is a subgraph that is a tree and connects all… …
8Laman graph — In graph theory, the Laman graphs are a family of sparse graphs describing the minimally rigid systems of rods and joints in the plane. Formally, a Laman graph is a graph on n vertices such that, for all k , every k vertex subgraph has at most 2… …
9Four color theorem — Example of a four colored map A four colori …
10Graph theory — In mathematics and computer science, graph theory is the study of graphs : mathematical structures used to model pairwise relations between objects from a certain collection. A graph in this context refers to a collection of vertices or nodes and …
