A bottleneck edge is the highest weighted edge in a spanning tree.
A spanning tree is a minimum bottleneck spanning tree (or MBST) if the graph does not contain a spanning tree with a smaller bottleneck edge weight.
A MST is necessarily a MBST (provable by the cut property), but a MBST is not necessarily a MST.
Read more about this topic: Minimum Spanning Tree
Famous quotes containing the words minimum and/or tree:
“After decades of unappreciated drudgery, American women just dont do housework any morethat is, beyond the minimum that is required in order to clear a path from the bedroom to the front door so they can get off to work in the mourning.”
—Barbara Ehrenreich (20th century)
“Happy are those who find wisdom, and those who get understanding, for her income is better than silver, and her revenue better than gold. She is more precious than jewels, and nothing you desire can compare with her. Long life is in her right hand; in her left hand are riches and honor. Her ways are ways of pleasantness, and all her paths are peace. She is a tree of life to those who lay hold of her; those who hold her fast are called happy.”
—Bible: Hebrew, Proverbs 3:13-18.