Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Minimum_spanning_tree> ?p ?o }
- Minimum_spanning_tree abstract "A minimum spanning tree is a spanning tree of a connected, undirected graph. It connects all the vertices together with the minimal total weighting for its edges.A single graph can have many different spanning trees. We can also assign a weight to each edge, which is a number representing how unfavorable it is, and use this to assign a weight to a spanning tree by computing the sum of the weights of the edges in that spanning tree. A minimum spanning tree (MST) or minimum weight spanning tree is then a spanning tree with weight less than or equal to the weight of every other spanning tree. More generally, any undirected graph (not necessarily connected) has a minimum spanning forest, which is a union of minimum spanning trees for its connected components.There are quite a few use cases for minimum spanning trees. One example would be a telecommunications company which is trying to lay out cables in new neighborhood. If it is constrained to bury the cable only along certain paths (e.g. along roads), then there would be a graph representing which points are connected by those paths. Some of those paths might be more expensive, because they are longer, or require the cable to be buried deeper; these paths would be represented by edges with larger weights. Currency is an acceptable unit for edge weight — there is no requirement for edge lengths to obey normal rules of geometry such as the triangle inequality. A spanning tree for that graph would be a subset of those paths that has no cycles but still connects to every house; there might be several spanning trees possible. A minimum spanning tree would be one with the lowest total cost, thus would represent the least expensive path for laying the cable.".
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- Minimum_spanning_tree wikiPageWikiLink Ackermann_function.
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- Minimum_spanning_tree wikiPageWikiLink Arborescence_(graph_theory).
- Minimum_spanning_tree wikiPageWikiLink Bernard_Chazelle.
- Minimum_spanning_tree wikiPageWikiLink Big_O_notation.
- Minimum_spanning_tree wikiPageWikiLink Borxc5xafvkas_algorithm.
- Minimum_spanning_tree wikiPageWikiLink Broadcasting_(networking).
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- Minimum_spanning_tree wikiPageWikiLink Category:Polynomial-time_problems.
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- Minimum_spanning_tree wikiPageWikiLink Central_limit_theorem.
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- Minimum_spanning_tree wikiPageWikiLink Christofides_algorithm.
- Minimum_spanning_tree wikiPageWikiLink Circuit_design.
- Minimum_spanning_tree wikiPageWikiLink Clifford_Stein.
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- Minimum_spanning_tree wikiPageWikiLink Cut_(graph_theory).
- Minimum_spanning_tree wikiPageWikiLink Decision_problem.
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- Minimum_spanning_tree wikiPageWikiLink Directed_graph.
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- Minimum_spanning_tree wikiPageWikiLink Ecotoxicology.
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- Minimum_spanning_tree wikiPageWikiLink FP_(complexity).
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- Minimum_spanning_tree wikiPageWikiLink Image_segmentation.
- Minimum_spanning_tree wikiPageWikiLink Introduction_to_Algorithms.
- Minimum_spanning_tree wikiPageWikiLink J._Michael_Steele.
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- Minimum_spanning_tree wikiPageWikiLink Minimum_spanning_tree-based_segmentation.
- Minimum_spanning_tree wikiPageWikiLink Moravia.
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- Minimum_spanning_tree wikiPageWikiLink Reductio_ad_absurdum.
- Minimum_spanning_tree wikiPageWikiLink Regionalisation.
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- Minimum_spanning_tree wikiPageWikiLink Riemann_zeta_function.
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- Minimum_spanning_tree wikiPageWikiLink Steiner_tree_problem.
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- Minimum_spanning_tree wikiPageWikiLink Travelling_salesman_problem.