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IPPS
1999
IEEE
13 years 11 months ago
Sparse Hypercube: A Minimal k-Line Broadcast Graph
This paper proposes a method for reducing the maximum degree of vertices in graphs that maintain optimal broadcast time when a vertex can call a vertex at distance at most k durin...
Satoshi Fujita, Arthur M. Farley
ALGORITHMICA
2000
72views more  ALGORITHMICA 2000»
13 years 7 months ago
Sorting-Based Selection Algorithms for Hypercubic Networks
This paper presents several deterministic algorithms for selecting the kth largest record from a set of n records on any n-node hypercubic network. All of the algorithms are based ...
Pascal Berthomé, Afonso Ferreira, Bruce M. ...
ICALP
2011
Springer
12 years 11 months ago
Improved Approximation for the Directed Spanner Problem
We present an O( √ n log n)-approximation algorithm for the problem of finding the sparsest spanner of a given directed graph G on n vertices. A spanner of a graph is a sparse ...
Piotr Berman, Arnab Bhattacharyya, Konstantin Maka...
ISPAN
1999
IEEE
13 years 11 months ago
Sparse Networks Tolerating Random Faults
A network G is called random-fault-tolerant (RFT) network for a network G if G contains a fault-free isomorphic copy of G with high probability even if each processor fails indepe...
Toshinori Yamada, Shuichi Ueno