We consider the problem of finding the extrema of a distributed multiset in a ring; that is, of determining the minimum and the maximum values, x min and x max , of a multiset X = fx 0 ; x 2 ; :::; x n\Gamma1 g, whose elements are drawn from a totally ordered universe U and stored at the n entities of a ring network. This problem is unsolvable if the ring size is not known to the entities, and has complexity \Theta(n 2 ) in the case of asynchronous rings of known size. We show that, in synchronous rings of known size, this problem can always be solved in O((c + log n) \Delta n) bits and O(n \Delta c \Delta x 1 c ) time for any integer c ? 0, where x = Maxfjx min j; jx max jg. The previous solutions required O(n 2 ) bits and the sa...
AbstractGiven a ring of n processors it is required to design the processors such that they will be ...
AbstractIn Moran and Warmuth (1993, SIAM .J. Comput.22, No. 2, 379-399), it was shown that computing...
Given a ring of n processors it is required to design the processors such that they will be able to ...
We consider the problem of finding the extrema of a distributed multiset in a ring; that is, of dete...
AbstractWe consider the problem of finding the largest of a set of n uniquely numbered processors, a...
AbstractSeveral new lower bounds are derived for deterministic and randomized extrema finding and so...
We consider the task of learning a ring in a distributed way: each node of an unknown ring has to co...
An anonymous ring network is a ring where all processors (vertices) are indistinguishable except for...
An anonymous ring network is a ring where all processors (vertices) are indistinguishable except for...
AbstractWe consider the problem of finding the largest of a set of n uniquely numbered processors, a...
An anonymous ring network is a ring where all processors (vertices) are indistinguishable except for...
An anonymous ring network is a ring where all processors (vertices) are indistinguishable except for...
The communication complexity of fundamental problems in distributed computing on an asynchronous rin...
In this paper, we study distributed algorithms for finding the k-th value in the decentralized syste...
[[abstract]]Let R = (V, E) be a unidirectional ring network where V corresponds to the set of nodes ...
AbstractGiven a ring of n processors it is required to design the processors such that they will be ...
AbstractIn Moran and Warmuth (1993, SIAM .J. Comput.22, No. 2, 379-399), it was shown that computing...
Given a ring of n processors it is required to design the processors such that they will be able to ...
We consider the problem of finding the extrema of a distributed multiset in a ring; that is, of dete...
AbstractWe consider the problem of finding the largest of a set of n uniquely numbered processors, a...
AbstractSeveral new lower bounds are derived for deterministic and randomized extrema finding and so...
We consider the task of learning a ring in a distributed way: each node of an unknown ring has to co...
An anonymous ring network is a ring where all processors (vertices) are indistinguishable except for...
An anonymous ring network is a ring where all processors (vertices) are indistinguishable except for...
AbstractWe consider the problem of finding the largest of a set of n uniquely numbered processors, a...
An anonymous ring network is a ring where all processors (vertices) are indistinguishable except for...
An anonymous ring network is a ring where all processors (vertices) are indistinguishable except for...
The communication complexity of fundamental problems in distributed computing on an asynchronous rin...
In this paper, we study distributed algorithms for finding the k-th value in the decentralized syste...
[[abstract]]Let R = (V, E) be a unidirectional ring network where V corresponds to the set of nodes ...
AbstractGiven a ring of n processors it is required to design the processors such that they will be ...
AbstractIn Moran and Warmuth (1993, SIAM .J. Comput.22, No. 2, 379-399), it was shown that computing...
Given a ring of n processors it is required to design the processors such that they will be able to ...