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A bottleneck edge is the highest weighted edge in a spanning tree. A spanning tree is a minimum bottleneck spanning tree if the graph does not contain a spanning tree with a smaller bottleneck edge weight. [1] For a directed graph, a similar problem is known as Minimum Bottleneck Spanning Arborescence (MBSA).
Brachychiton rupestris (commonly known as the narrow-leaved bottle tree or Queensland bottle tree) is a tree in the family Malvaceae, [a] endemic to Queensland, Australia. Described by Sir Thomas Mitchell and John Lindley in 1848, it earned its name from its bulbous trunk , which can be up to 3.5 metres (11 ft) in diameter at breast height (DBH).
Brachychiton (kurrajong, bottletree) is a genus of 31 species of trees and large shrubs, native to Australia (the centre of diversity, with 30 species) and New Guinea (one species). Fossils from New South Wales and New Zealand are estimated to be 50 million years old, corresponding to the Paleogene .
Water could be obtained from the tree roots by boring a hole in the trunk and squeezing the wood. [4] There are also records of the seed pods being turned into a children's rattle or toy. The soft, spongy wood was used for making shields, and the bark as a fibre. The leaves are also used as emergency fodder for drought-affected animal stock.
A planar graph and its minimum spanning tree. Each edge is labeled with its weight, which here is roughly proportional to its length. A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph that connects all the vertices together, without any cycles and with the minimum possible total edge weight. [1]
In this graph, the widest path from Maldon to Feering has bandwidth 29, and passes through Clacton, Tiptree, Harwich, and Blaxhall. In graph algorithms, the widest path problem is the problem of finding a path between two designated vertices in a weighted graph, maximizing the weight of the minimum-weight edge in the path.
The Bottleneck traveling salesman problem (bottleneck TSP) is a problem in discrete or combinatorial optimization. The problem is to find the Hamiltonian cycle (visiting each node exactly once) in a weighted graph which minimizes the weight of the highest-weight edge of the cycle. [ 1 ]
Bottle tree or bottle-tree may refer to: Adenium obesum subsp. socotranum, (Apocynaceae), of Socotra; Adansonia species, the baobabs; Adansonia gregorii (the boab) Pachypodium lealii, (Apocynaceae), the bottle tree of Namibia and Angola; The genus Moringa, (Moringaceae), of the Madagascar spiny thickets and elsewhere;