Abstract

In this paper, we delve into the investigation of locating broadcast 2-centers of a tree T under the postal model. The problem asks to deploy two broadcast centers so that the maximum communication time from the centers to their corresponding vertices is minimized. The broadcast 2-center problem explored in this study is essentially an extension of the classical 2-center problem. To efficiently address this challenge, we employ the binary search method, which enables us to present a highly effective O(nlogn)-time algorithm for solving this problem.

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