A certain sweep-line algorithm in computational geometry uses this structure to store information about potential futureevents that could change the beach line structure, in order to generate a Voronoi tessellation using big-O of n log(n) time andbig-O of n space.
A certain sweep-line algorithm in computational geometry uses this structure to store information about potential futureevents that could change the beach line structure, in order to generate a Voronoi tessellation using big-O of n log(n) time andbig-O of n space. That is Fortune's algorithm. For a sorter which has a sorting time given by some function S of n, a recursionrelation for this data structure can be derived which gives the update time T of n equal to big-O of S of n plus T of log-squaredof n. The standard implementation of Prim's algorithm for fiÂnding a minimum spanning tree uses this data structure to keeptrack of vertices. This data structure can be constructed from another data structure where every child node has a lesser key-valuethan its parent node; that other data structure, which can be used to implement this one because it supports both theinsert and the delete-min operations is the max-heap. For 10 points, name these data structures that are not Âfirst-in-Âfirst-out,but instead store elements with associated values of importance.
A certain sweep-line algorithm in computational geometry uses this structure to store information about potential futureevents that could change the beach line structure, in order to generate a Voronoi tessellation using big-O of n log(n) time andbig-O of n space.
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