期刊文献+

A Note on the Inverse Connected p-Median Problem on Block Graphs

A Note on the Inverse Connected p-Median Problem on Block Graphs
下载PDF
导出
摘要 Recently, the inverse connected p-median problem on block graphs G(V,E,w) under various cost functions, say rectilinear norm, Chebyshev norm, and bottleneck Hamming distance. Their contributions include finding a necessary and sufficient condition for the connected p-median problem on block graphs, developing algorithms and showing that these problems can be solved in O(n log n) time, where n is the number of vertices in the underlying block graph. Using similar technique, we show that some results are incorrect by a counter-example. Then we redefine some notations, reprove Theorem 1 and redescribe Theorem 2, Theorem 3 and Theorem 4. Recently, the inverse connected p-median problem on block graphs G(V,E,w) under various cost functions, say rectilinear norm, Chebyshev norm, and bottleneck Hamming distance. Their contributions include finding a necessary and sufficient condition for the connected p-median problem on block graphs, developing algorithms and showing that these problems can be solved in O(n log n) time, where n is the number of vertices in the underlying block graph. Using similar technique, we show that some results are incorrect by a counter-example. Then we redefine some notations, reprove Theorem 1 and redescribe Theorem 2, Theorem 3 and Theorem 4.
作者 Chunsong Bai Liqi Zhang Jianjie Zhou Chunsong Bai;Liqi Zhang;Jianjie Zhou(School of Finance and Mathematics, Huainan Normal University, Huainan, China;Department of Information & Computational Science, Henan Agricultural University, Zhengzhou, China)
出处 《Advances in Pure Mathematics》 2023年第4期181-186,共6页 理论数学进展(英文)
关键词 Location Theory Block Graphs Inverse Optimization Connected p-Median Location Theory Block Graphs Inverse Optimization Connected p-Median
  • 相关文献

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部