Tree of Placements
The placements-tree crate allows you to create an n to k tree of placements based on a key in the range 0..=n.
This key will be used as the root and leaves of the tree.
So other vertices will be taken in the ranges 0..key and key + 1..=n.
The structure is used to quickly respond to queries to update vertices or edges in a weighted directed graph with edges of negative weight.
Example
use PlacementsTree;
The PlacementsTree::new(3, 2, 0) creates a 3 by 2 tree of placements based on key 0:
0
├── 1
│ ├── 2
│ │ └── 0
│ └── 3
│ └── 0
├── 2
│ ├── 1
│ │ └── 0
│ └── 3
│ └── 0
└── 3
├── 1
│ └── 0
└── 2
└── 0
The ptree.update_vertex(1, 1) updates vertex 1 with value 1, so the tree will be recalculated, returning the shortest distance of the recalculated paths:
0
├── 1
│ '-- 2
│ ' '-- 0
│ '-- 3
│ '-- 0
├── 2
│ ├── 1
│ │ '-- 0
│ └── 3
│ └── 0
└── 3
├── 1
│ '-- 0
└── 2
└── 0
The ptree.update_edge(0, 1, 2) updates edge from 0 to 1 with value 2, so the tree will be recalculated, returning the shortest distance of the recalculated paths:
0
'-- 1
│ '-- 2
│ ' '-- 0
│ '-- 3
│ '-- 0
├── 2
│ ├── 1
│ │ └── 0
│ └── 3
│ └── 0
└── 3
├── 1
│ └── 0
└── 2
└── 0
Usage
[dependencies]
placements-tree = "0.1"
License
Licensed under either of
- Apache License, Version 2.0 (LICENSE-APACHE or http://www.apache.org/licenses/LICENSE-2.0)
- MIT license (LICENSE-MIT or http://opensource.org/licenses/MIT)
at your option.