@tyriar/binomial-heap

js-binomial-heap

A JavaScript implementation of the binomial heap data structure.

Features

• 100% test coverage
• Supports all common heap operations*
• Store keys with optional associated values
• Optional custom compare function that can utilize both key and value to give full control over the order of the data

* except delete and decrease key

Install

npm install --save @tyriar/binomial-heap

Usage

// Import npm module
var BinomialHeap = require('@tyriar/binomial-heap';

// Construct BinomialHeap
var heap = new BinomialHeap();
// Insert keys only
heap.insert(3);
heap.insert(7);
// Insert keys and values
heap.insert(8, {foo: 'bar'});
heap.insert(1, {foo: 'baz'});

// Extract all nodes in order
while (!heap.isEmpty()) {
  var node = heap.extractMinimum();
  console.log('key: ' + node.key + ', value: ' + node.value);
}
// > key: 1, value: [object Object]
// > key: 3, value: undefined
// > key: 7, value: undefined
// > key: 8, value: [object Object]

// Construct custom compare BinomialHeap
heap = new BinomialHeap(function (a, b) {
  return (a.key + a.value).localeCompare(b.key + b.value);
});
heap.insert('2', 'B');
heap.insert('1', 'a');
heap.insert('1', 'A');
heap.insert('2', 'b');

// Extract all nodes in order
while (!heap.isEmpty()) {
  var node = heap.extractMinimum();
  console.log('key: ' + node.key + ', value: ' + node.value);
}
// > key: 1, value: a
// > key: 1, value: A
// > key: 2, value: b
// > key: 2, value: B

Operation time complexity

Operation	Complexity
clear	Θ(1)
extractMinimum	Θ(log n)
findMinimum	O(log n)*
insert	O(log n)
isEmpty	Θ(1)
size	Θ(1)
union	Θ(log n)

* amortized

API

BinomialHeap

Creates a binomial heap.

Parameters

• customCompare function An optional custom node comparison function.

clear

Clears the heap's data, making it an empty heap.

extractMinimum

Extracts and returns the minimum node from the heap.

Returns Node node The heap's minimum node or undefined if the heap is empty.

findMinimum

Returns the minimum node from the heap.

Returns Node node The heap's minimum node or undefined if the heap is empty.

insert

Inserts a new key-value pair into the heap.

Parameters

• key Object The key to insert.
• value Object The value to insert.

Returns Node node The inserted node.

isEmpty

Returns boolean Whether the heap is empty.

size

Returns number The size of the heap.

union

Joins another heap to this one.

Parameters

• otherHeap BinomialHeap The other heap.
• heap

Node

Creates a Binomial Heap node.

Parameters

• key Object The key of the new node.
• value Object The value of the new node.