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  2. Binomial heap - Wikipedia

    en.wikipedia.org/wiki/Binomial_heap

    A binomial heap is implemented as a set of binomial trees that satisfy the binomial heap properties: [1] Each binomial tree in a heap obeys the minimum-heap property: the key of a node is greater than or equal to the key of its parent. There can be at most one binomial tree for each order, including zero order.

  3. Heap (data structure) - Wikipedia

    en.wikipedia.org/wiki/Heap_(data_structure)

    Example of a binary max-heap with node keys being integers between 1 and 100. In computer science, a heap is a tree-based data structure that satisfies the heap property: In a max heap, for any given node C, if P is the parent node of C, then the key (the value) of P is greater than or equal to the key of C.

  4. Jean Vuillemin - Wikipedia

    en.wikipedia.org/wiki/Jean_Vuillemin

    Vuillemin invented the binomial heap [2] and Cartesian tree data structures. [3] With Ron Rivest, he proved the Aanderaa–Rosenberg conjecture, according to which any deterministic algorithm that tests a nontrivial monotone property of graphs, using queries that test whether pairs of vertices are adjacent, must perform a quadratic number of adjacency queries. [4]

  5. Mergeable heap - Wikipedia

    en.wikipedia.org/wiki/Mergeable_heap

    Examples of mergeable heap data structures include: Binomial heap; Fibonacci heap; Leftist tree; Pairing heap; Skew heap; A more complete list with performance comparisons can be found at Heap (data structure) § Comparison of theoretic bounds for variants. In most mergeable heap structures, merging is the fundamental operation on which others ...

  6. Talk:Binomial heap - Wikipedia

    en.wikipedia.org/wiki/Talk:Binomial_heap

    A specific example: If one binomial heap is full, i.e. it has a binomial tree of every level <--> n = 2**k - 1, the insertion of an element must produce a "wrap over" (or how it's correctly called in English). This will take logarithmic time. --OOo.Rax 15:03, 15 September 2007 (UTC)

  7. Skew binomial heap - Wikipedia

    en.wikipedia.org/wiki/Skew_binomial_heap

    Skew binomial heap containing numbers 1 to 19, showing trees of ranks 0, 1, 2, and 3 constructed from various types of links Simple, type a skew, and type b skew links. A skew binomial heap is a forest of skew binomial trees, which are defined inductively: A skew binomial tree of rank 0 is a singleton node.

  8. d-ary heap - Wikipedia

    en.wikipedia.org/wiki/D-ary_heap

    The d-ary heap consists of an array of n items, each of which has a priority associated with it. These items may be viewed as the nodes in a complete d-ary tree, listed in breadth first traversal order: the item at position 0 of the array (using zero-based numbering) forms the root of the tree, the items at positions 1 through d are its children, the next d 2 items are its grandchildren, etc.

  9. Weak heap - Wikipedia

    en.wikipedia.org/wiki/Weak_heap

    A perfect (no missing leaves) weak heap with 2 n elements is exactly isomorphic to a binomial heap of the same size, [2] but the two algorithms handle sizes which are not a power of 2 differently: a binomial heap uses multiple perfect trees, while a weak heap uses a single imperfect tree.