Finding Broadcast 2-Medians on a Weighted Tree underthe Postal Model

碩士 === 國立臺灣大學 === 資訊工程學研究所 === 106 === This thesis presents an O(n√n log n) time complexity algorithm for solving broadcast 2-medians problem on a weighted tree under the postal model. First,we prove that a centroid is the broadcast 1-median. Next, we can observe that in broadcast 2-median, there ex...

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Bibliographic Details
Main Authors: Keng-Chien Chang, 張耿健
Other Authors: 陳健輝
Format: Others
Language:en_US
Published: 2018
Online Access:http://ndltd.ncl.edu.tw/handle/p7555w
Description
Summary:碩士 === 國立臺灣大學 === 資訊工程學研究所 === 106 === This thesis presents an O(n√n log n) time complexity algorithm for solving broadcast 2-medians problem on a weighted tree under the postal model. First,we prove that a centroid is the broadcast 1-median. Next, we can observe that in broadcast 2-median, there exists an unused edge, so we compute thebroadcast time for the subtree of each edge in both side. Finally, for best time complexity, binary indexed tree data structure is used to compute the broadcast time, which can save time from recomputing the duplicated part of subtree.