Partitioning Arrangements of Lines I An Efficient Deterministic Algorithm
Partitioning Arrangements of Lines I An Efficient Deterministic Algorithm
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To quickly assess the difficulty of the text, read a short excerpt:
Thus ^(e) = Y. '^-i ^(e, ), which implies that 'l'(e) can be computed by answering at most 21ogn half-plane range queries.
Since the nodes of the same level are associated with pairwise disjoint sets of points. And we are choosing the same value of r for all nodes of the same level, the space s{n) used by our algorithm is logn s{n) = 0(^ nr. Logn). 1=1 Let m = n^. Where 1 -I- eo 0. If we choose r, Ti ■ n = — —, where n^ — is the size of each set Sy at level i, we have logn 2'"^ (n) = OnlognX:r... 7^1 logn log" / n. \ ''"^ ^ 1=1 = 0{n'^) (because 7 > 1 + eo) = 0{m).
Next, the total time spent in answering a query is logn / log n r— Q{n) = C>(^. /^logn^ /'ogn, ^ 1=1 ^ = 0(n'-'''Hog'^^n\ (because7
What to read after Partitioning Arrangements of Lines I An Efficient Deterministic Algorithm?
You can find similar books in the "Read Also" column, or choose other free books by Pankaj K Agarwal to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Thus ^(e) = Y. '^-i ^(e, ), which implies that 'l'(e) can be computed by answering at most 21ogn half-plane range queries.
Since the nodes of the same level are associated with pairwise disjoint sets of points. And we are choosing the same value of r for all nodes of the same level, the space s{n) used by our algorithm is logn s{n) = 0(^ nr. Logn). 1=1 Let m = n^. Where 1 -I- eo 0. If we choose r, Ti ■ n = — —, where n^ — is the size of each set Sy at level i, we have logn 2'"^ (n) = OnlognX:r... 7^1 logn log" / n. \ ''"^ ^ 1=1 = 0{n'^) (because 7 > 1 + eo) = 0{m).
Next, the total time spent in answering a query is logn / log n r— Q{n) = C>(^. /^logn^ /'ogn, ^ 1=1 ^ = 0(n'-'''Hog'^^n\ (because7
What to read after Partitioning Arrangements of Lines I An Efficient Deterministic Algorithm?
You can find similar books in the "Read Also" column, or choose other free books by Pankaj K Agarwal to read onlineMoreLess
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