Minimum degree spanning tree

Minimum degree spanning tree

In graph theory, for a connected graph G, a spanning tree T is a subgraph of G with the least number of edges that still spans G. A number of properties can be proved about T. T is acyclic, has ( | V | − 1) edges where V is the number of vertices in G etc.

A minimum degree spanning tree T' is a spanning tree which has the least degree. The vertex of maximum degree in T' is the least among all possible spanning trees of G.

See Degree-Constrained Spanning Tree.


Wikimedia Foundation. 2010.

Игры ⚽ Нужно решить контрольную?

Look at other dictionaries:

  • Degree-constrained spanning tree — In graph theory, a degree constrained spanning tree is a spanning tree where the maximum vertex degree is limited to a certain constant k. The degree constrained spanning tree problem is to determine whether a particular graph has such a spanning …   Wikipedia

  • Minimum 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… …   Wikipedia

  • Steiner tree problem — Steiner tree for three points A, B, and C (note there are no direct connections between A, B, C). The Steiner point S is located at the Fermat point of the triangle ABC …   Wikipedia

  • Steiner tree — The Steiner tree problem, named after Jakob Steiner, is a problem in combinatorial optimization.The Steiner tree problem is superficially similar to the minimum spanning tree problem: given a set V of points (vertices), interconnect them by a… …   Wikipedia

  • List 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… …   Wikipedia

  • Glossary 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… …   Wikipedia

  • Liste De Problèmes NP-Complets — Ceci est une liste des problèmes NP complets les plus connus en théorie de la complexité des algorithmes, exprimés sous la forme d un problèmes de la décision. Puisqu on connaît plus de 3000 problèmes NP complets, cette liste n est pas exhaustive …   Wikipédia en Français

  • Liste de problemes NP-complets — Liste de problèmes NP complets Ceci est une liste des problèmes NP complets les plus connus en théorie de la complexité des algorithmes, exprimés sous la forme d un problèmes de la décision. Puisqu on connaît plus de 3000 problèmes NP complets,… …   Wikipédia en Français

  • Liste de problèmes NP-complets — Ceci est une liste des problèmes NP complets les plus connus en théorie de la complexité des algorithmes, exprimés sous la forme d un problème de décision. Puisqu on connaît plus de 3000 problèmes NP complets, cette liste n est pas exhaustive. La …   Wikipédia en Français

  • Liste de problèmes np-complets — Ceci est une liste des problèmes NP complets les plus connus en théorie de la complexité des algorithmes, exprimés sous la forme d un problèmes de la décision. Puisqu on connaît plus de 3000 problèmes NP complets, cette liste n est pas exhaustive …   Wikipédia en Français

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”