Spanning

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 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.

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

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.

For instance, the intervals C–G (spanning 8 semitones) and C –G (spanning 6 semitones) are fifths, like the corresponding natural interval C–G (7 semitones).

If the edge weights are not unique, only the (multi-)set of weights in minimum spanning trees is unique, that is the same for all minimum spanning trees.

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 older IEEE 802.1D spanning tree protocol could be quite slow, with forwarding stopping for 30 seconds while the spanning tree reconverged.

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).

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