On Cartesian Trees and Range Minimum Queries
On Cartesian Trees and Range Minimum Queries
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关于笛卡尔树和范围最小查询
作者:
E. Demaine;G. M. Landau;Oren Weimann
We present new results on Cartesian trees with applications in range minimum queries and bottleneck edge queries. We introduce a cache-oblivious Cartesian tree for solving the range minimum query problem, a Cartesian tree for the bottleneck edge query problem on trees and undirected graphs, and a proof that no Cartesian tree exists for the two-dimensional version of the range minimum query problem.