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Spanning tree

In the mathematical field of graph theory, a spanning tree T of an undirected graph G is a subgraph that is a tree which includes all of the vertices of G. In general, a graph may have several spanning trees, but a graph that is not connected will not contain a spanning tree (see about spanning forests below). If all of the edges of G are also edges of a…

Applications, Algorithms & Counting spanning trees

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Overview

Applications

Definitions

Counting spanning trees

Algorithms

In infinite graphs

Advanced semantic analysis

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Map overview Semantic statistics

Spanning tree

Nodes81
Edges80
Triples72
Avg. degree1.98
Density0.024691
Components1

How this topic connects Entity context

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Spanning tree

Top relations

related to Construction · 12
Spanning tree → Both, Depth-first, However, In, Instead, OSI, Shout, Spanning, Spanning Tree Protocol, They, This, Trémaux
related to Optimization · 10
Spanning tree → Delaunay, Euclidean, For, Hamiltonian, However, In, Optimal, Other, The, Thus
related to In infinite graphs · 7
Spanning tree → An, As, Every, However, The, Therefore, Zorn's
related to In specific graphs · 6
Spanning tree → Cayley's, Cn, For, If, In, When
related to Deletion-contraction · 5
Spanning tree → For, G/e, If, In, The
related to Fundamental cutsets · 5
Spanning tree → By, Dual, The, This, Thus
related to Tutte polynomial · 5
Spanning tree → Its, Kirchhoff's, P-complete, The, The Tutte
related to Fundamental cycles · 4
Spanning tree → Adding, For, The, There
has application · 3
Spanning tree → Dijkstra's, In, Several
related to In directed multigraphs · 3
Spanning tree → Given, The, This

Important terminology Word statistics

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Important terminology

spanning tree graph trees connected vertices edges one vertex cycles fundamental number edge given polynomial also every cycle forest infinite

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Spanning treeis abase of the graphic matroid0.90text
Spanning treeis asame as a graph minimum spanning tree in a complete graph with Euclidean edge weights0.90text
the Euclidean planeinstance ofand the minimum dilation spanning tree.Optimal spanning tree problems have also been studied for finite sets of points in a geometric space0.80text
Spanning treehas applicationSeveral0.60section
Spanning treehas applicationDijkstra's0.60section
Spanning treehas applicationIn0.60section
Spanning treerelated to ConstructionBoth0.60section
Spanning treerelated to ConstructionThey0.60section
Spanning treerelated to ConstructionIn0.60section
Spanning treerelated to ConstructionThis0.60section
Spanning treerelated to ConstructionDepth-first0.60section
Spanning treerelated to ConstructionTrémaux0.60section

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    Min side: 3
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