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Results 1 - 10
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55,024
Generating Bracelets in Constant Amortized Time
- SIAM JOURNAL ON COMPUTING
, 2001
"... A bracelet is the lexicographically smallest element in an equivalence class of strings under string rotation and reversal. We present a fast, simple, recursive algorithm for generating (i.e., listing) k-ary bracelets. Using simple bounding techniques, we prove that the algorithm is optimal in the s ..."
Abstract
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Cited by 11 (3 self)
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in the sense that the running time is proportional to the number of bracelets produced. This is an improvement by a factor of n (where n is the length of the bracelets being generated) over the fastest, previously known algorithm to generate bracelets.
Generating Bracelets in Constant Amortized Time
, 2001
"... Abstract A bracelet is the lexicographically smallest element in an equivalence class of strings under string rotation and reversal. We present a fast, simple, recursive algorithm for generating (ie., listing) k-ary bracelets. Using simple bounding techniques, we prove that the algorithm is optimal ..."
Abstract
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in the sense that the running time is proportional to the number of bracelets produced. This is an improvement by a factor of n (where n is the length of the bracelets being generated) over the fastest, previously known algorithm to generate bracelets.
Secure Two-Party Computation in Sublinear (Amortized) Time
"... Traditional approaches to generic secure computation begin by representing the function f being computed as a circuit. If f depends on each of its input bits, this implies a protocol with complexity at least linear in the input size. In fact, linear running time is inherent for non-trivial functions ..."
Abstract
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Cited by 18 (3 self)
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present an approach to secure two-party computation that yields protocols running in sublinear time, in an amortized sense, for functions that can be computed in sublinear time on a random-access machine (RAM). Moreover, each party is required to maintain state that is only (essentially) linear in its own
Dynamic Planar Convex Hull Operations in Near-Logarithmic Amortized Time
- JOURNAL OF THE ACM
, 1999
"... We give a data structure that allows arbitrary insertions and deletions on a planar point set P and supports basic queries on the convex hull of P , such as membership and tangent-finding. Updates take O(log 1+" n) amortized time and queries take O(log n) time each, where n is the maximum siz ..."
Abstract
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Cited by 41 (6 self)
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We give a data structure that allows arbitrary insertions and deletions on a planar point set P and supports basic queries on the convex hull of P , such as membership and tangent-finding. Updates take O(log 1+" n) amortized time and queries take O(log n) time each, where n is the maximum
Solving online feasibility problem in constant amortized time per update
, 2005
"... We present a deterministic algorithm for solving the two and three-dimensional online feasibility problem. Insertion of a new constraint is processed in constant amortized time. Our method is adapted from the offline linear deterministic Megiddo algorithm for linear programming. As in his prune an ..."
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We present a deterministic algorithm for solving the two and three-dimensional online feasibility problem. Insertion of a new constraint is processed in constant amortized time. Our method is adapted from the offline linear deterministic Megiddo algorithm for linear programming. As in his prune
A Gray code for fixed-density necklaces and Lyndon words in constant amortized time
- Theoretical Computer Science
"... This paper develops a constant amortized time algorithm to produce the cyclic cool-lex Gray code for fixed-density binary necklaces, Lyndon words, and pseudo-necklaces. It is the first Gray code for these objects that achieves this time bound. The algorithm is applied: (i) to develop a constant amor ..."
Abstract
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Cited by 4 (3 self)
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This paper develops a constant amortized time algorithm to produce the cyclic cool-lex Gray code for fixed-density binary necklaces, Lyndon words, and pseudo-necklaces. It is the first Gray code for these objects that achieves this time bound. The algorithm is applied: (i) to develop a constant
Fibonacci Heaps and Their Uses in Improved Network . . .
, 1987
"... In this paper we develop a new data structure for implementing heaps (priority queues). Our structure, Fibonacci heaps (abbreviated F-heaps), extends the binomial queues proposed by Vuillemin and studied further by Brown. F-heaps support arbitrary deletion from an n-item heap in qlogn) amortized t ..."
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Cited by 746 (18 self)
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time and all other standard heap operations in o ( 1) amortized time. Using F-heaps we are able to obtain improved running times for several network optimization algorithms. In particular, we obtain the following worst-case bounds, where n is the number of vertices and m the number of edges
Self-adjusting binary search trees
, 1985
"... The splay tree, a self-adjusting form of binary search tree, is developed and analyzed. The binary search tree is a data structure for representing tables and lists so that accessing, inserting, and deleting items is easy. On an n-node splay tree, all the standard search tree operations have an am ..."
Abstract
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Cited by 435 (19 self)
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an amortized time bound of O(log n) per operation, where by “amortized time ” is meant the time per operation averaged over a worst-case sequence of operations. Thus splay trees are as efficient as balanced trees when total running time is the measure of interest. In addition, for sufficiently long access
Results 1 - 10
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55,024
