Below you will find example sentences with "spanning tree". The examples show how this phrase is used in natural context and which words often surround it.

Spanning Tree in a sentence

Corpus data

  • Displayed example sentences: 20
  • Discovered as a combination around: tree
  • Corpus frequency in the collocation scan: 8
  • Phrase length: 2 words
  • Average sentence length: 24.5 words

Words in this phrase

spanning tree

Meanings of words in this phrase

  • spanning can mean: present participle and gerund of span Less frequent word
  • tree can mean: A perennial woody plant taller and larger than a shrub with a wooden trunk and, at some distance from the ground, having leaves and branc... Frequent word

Sentence profile

  • Phrase position: 8 start, 7 middle, 5 end
  • Sentence types: 20 statements, 0 questions, 0 exclamations

Usage patterns

These patterns show short text windows around the phrase in the example sentences:

every other spanning tree 2× a maximum spanning tree is a 1× a minimum spanning tree 1× a minimum spanning tree mst or 1× a minimum spanning tree would be 1× a spanning tree for that 1× convergence of spanning tree can cause 1× euclidean minimum spanning tree of a 1×

Sentence openings and endings

Common sentence openings:

a minimum spanning 2× a bottleneck edge 1× a maximum spanning 1× a planar graph 1× a set of 1× a spanning tree 1×

Common sentence endings:

minimum spanning tree 4× other spanning tree 2× a spanning tree 1× a weight citation 1× between two points 1× compute it efficiently 1×

Context words

These words often appear near this phrase in the example sentences:

minimum 15× graph 11× weight 9× edge 6× trees 5× subset 5× set 4× points 4× two 4× represents 4× vertices 3× path 3×

Related phrases

christmas tree palm tree fallen tree skill tree tree branches tree lighting tree removal

Phrases around this combination

Just before it in the phrase index:

spanish music spanish language spanish government space suit space station space shuttle

Just after it in the phrase index:

sparked concerns sparked outrage spatial audio speak publicly speaker kevin speaking exclusively

Other phrases with the same pattern

Same ending:

christmas tree palm tree fallen tree skill tree

Corpus analysis

  • The phrase "spanning tree" has 2 words and usually appears near the start in these examples. The average sentence has 24.5 words and is mostly made up of statements.
  • Around this phrase, patterns and context words such as every other spanning tree, a maximum spanning tree is a, minimum, graph and weight stand out.
  • In the phrase index, this combination connects with christmas tree, palm tree and fallen tree, linking the page to nearby combinations.

Example types with spanning tree

This selection groups the examples by length and sentence type, making usage of the full phrase easier to scan:

Short example sentences

A planar graph and its minimum spanning tree. (8 words)

A bottleneck edge is the highest weighted edge in a spanning tree. (12 words)

If the graph is connected, the forest has a single component and forms a minimum spanning tree. (17 words)

Longer example sentences

The minimum labeling spanning tree problem is to find a spanning tree with least types of labels if each edge in a graph is associated with a label from a finite label set instead of a weight. citation. (38 words)

In the disjoint-set data structure, m represents the number of operations while n represents the number of elements; in the minimum spanning tree algorithm, m represents the number of edges while n represents the number of vertices. (38 words)

A set of k-smallest spanning trees is a subset of k spanning trees (out of all possible spanning trees) such that no spanning tree outside the subset has smaller weight. citation. (32 words)

Example sentences (20)

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.

A maximum spanning tree is a spanning tree with weight greater than or equal to the weight of every other spanning tree.

A set of k-smallest spanning trees is a subset of k spanning trees (out of all possible spanning trees) such that no spanning tree outside the subset has smaller weight. citation.

The minimum labeling spanning tree problem is to find a spanning tree with least types of labels if each edge in a graph is associated with a label from a finite label set instead of a weight. citation.

The rectilinear minimum spanning tree is a spanning tree of a graph with edge weights corresponding to the rectilinear distance between vertices which are points in the plane (or space).

Since tree Y 1 is a spanning tree of graph P, there is a path in tree Y 1 joining the two endpoints.

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.

Classic bridges may also interconnect using a spanning tree protocol that disables links so that the resulting local area network is a tree without loops.

Advertentie

ND12 A related problem is the k-minimum spanning tree (k-MST), which is the tree that spans some subset of k vertices in the graph with minimum weight.

A bottleneck edge is the highest weighted edge in a spanning tree.

A minimum spanning tree would be one with the lowest total cost, thus would represent the least expensive path for laying the cable.

A planar graph and its minimum spanning tree.

Applications The Euclidean minimum spanning tree of a set of points is a subset of the Delaunay triangulation of the same points, and this can be exploited to compute it efficiently.

Broadcast and multicasts, along with the slow convergence of spanning tree, can cause major problems as the network grows.

By a similar argument, if more than one edge is of minimum weight across a cut, then each such edge is contained in some minimum spanning tree.

Creating a matching To make a graph into an Eulerian graph, one starts with the minimum spanning tree.

If the graph is connected, the forest has a single component and forms a minimum spanning tree.

In contrast to routers, spanning tree bridges must have topologies with only one active path between two points.

In the disjoint-set data structure, m represents the number of operations while n represents the number of elements; in the minimum spanning tree algorithm, m represents the number of edges while n represents the number of vertices.

In the figure, the two trees below the graph are two possibilities of minimum spanning tree of the given graph.

Advertentie