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Free, publicly-accessible full text available November 28, 2026
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Xu, Haitao; Zhang, Jingru (, arXiv preprint arXiv:2504.14803)Free, publicly-accessible full text available April 21, 2026
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Xu, Haitao; Zhang, Jingru (, Journal of Combinatorial Optimization)Abstract We study the two-center problem on cactus graphs in facility locations, which aims to place two facilities on the graph network to serve customers in order to minimize the maximum transportation cost. In our problem, the location of each customer is uncertain and may appear atO(m) points on the network with probabilities. More specifically, given are a cactus graphGand a set$$\mathcal {P}$$ ofn(weighted) uncertain points where every uncertain point hasO(m) possible locations onGeach associated with a probability and is of a non-negative weight. The problem aims to compute two centers (points) onGso that the maximum (weighted) expected distance of thenuncertain points to their own expected closest center is minimized. No previous algorithms are known for this problem. In this paper, we present the first algorithm for this problem and it solves the problem in$$O(|G|+ m^{2}n^{2}\log mn)$$ time.more » « less
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Zhang, Jingru (, Proceedings of the 19th International Conference and Workshops on Algorithms and Computation (WALCOM 2025))Free, publicly-accessible full text available February 21, 2026
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Hu, Ran; Kanani, Divy H; Zhang, Jingru (, Submitted for publication and arXiv:2412.02828)
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Zhang, Jingru; Chen, Hao (, Statistica Sinica)
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