منابع مشابه
Minimax Trees in Linear Time
A minimax tree is similar to a Huffman tree except that, instead of minimizing the weighted average of the leaves’ depths, it minimizes the maximum of any leaf’s weight plus its depth. Golumbic (1976) introduced minimax trees and gave a Huffman-like, O(n log n)-time algorithm for building them. Drmota and Szpankowski (2002) gave another O(n log n)-time algorithm, which checks the Kraft Inequali...
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By a tree T we mean a connected graph such that every subgraph obtained from T by removing any of its edges is not connected. In what follows we will only consider trees in which we distinguish a vertex v0 as an origin. As usual we denote by V and E the set of vertices and the set of edges (respectively) of the tree. If v and w are the boundary vertices of an edge, we say that they are neighbou...
متن کاملMinimax Trees in Linear Time with Applications
A minimax tree is similar to a Huffman tree except that, instead of minimizing the weighted average of the leaves’ depths, it minimizes the maximum of any leaf’s weight plus its depth. Golumbic (1976) introduced minimax trees and gave a Huffman-like, O(n log n)-time algorithm for building them. Drmota and Szpankowski (2002) gave another O(n log n)-time algorithm, which takes linear time when th...
متن کاملMinimax Programs, Bitonic Columns and Pq Trees
1 Overview Among hard combinatorial optimization problems there is an increasing body of special cases known in which optimal solutions can be obtained eeciently. These special cases may be expressed as constraints on graph structure, such as chordal or interval graphs 4, 6] which allow linear-time solution of problems like vertex coloring, or Monge matrix edge weights which allow eecient solut...
متن کاملAlphabetic Minimax Trees in Linear Time
We develop a linear time algorithm algorithm for the following problem: given an ordered sequence of n real weights w1, w2, . . . , wn, construct a binary tree on n leaves labeled with those weights when read from left to right so that the maximum value of wi plus depth of the i-th leftmost leaf is minimized. This improves the previously known O(n logn) time solutions [2,11,13]. We also give a ...
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ژورنال
عنوان ژورنال: Combinatorics, Probability and Computing
سال: 2019
ISSN: 0963-5483,1469-2163
DOI: 10.1017/s0963548319000403