Communication-efficient parallel-graph algorithms. Master's thesis

Technical Report · Sun Jun 01 04:00:00 EDT 1986

OSTI ID:6626901

Maggs, B M

Communication bandwidth is a resource ignored by most parallel random-access machine (PRAM) models. This thesis shows that many graph problems can be solved in parallel, not only with polylogarithmic performance, but with efficient communication at each step of the computation. The communication requirements of an algorithm are measured in a restricted PRAM model called the distributed random-access machine (DRAM), which can be viewed as an abstraction of volume-universal networks such as fat trees. In this model, communication cost is measured in terms of the congestion of memory accesses across cuts of the machine. It is demonstrated that the recursive doubling technique frequently used in PRAM algorithms is wasteful of communication resources, and that recursive pairing can be used to perform many of the same functions more efficiently. The prefix computation is generalized on linear lists to trees and show that these tree-fix computations, which can be performed in a communication-efficient fashion using a variant of the tree-contraction technique of Miller and Reif, simplify many parallel graph algorithms in the literature.

• Research Organization: Massachusetts Inst. of Tech., Cambridge (USA). Dept. of Electrical Engineering and Computer Science
• OSTI ID: 6626901
• Report Number(s): AD-A-176651/8/XAB; VLSI-MEMO-86-349
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990210* -- Supercomputers-- (1987-1989)
ALGORITHMS
COMMUNICATIONS
COMPUTER GRAPHICS
DISTRIBUTION
FUNCTIONAL MODELS
GRAPHS
MATHEMATICAL LOGIC
PARALLEL PROCESSING
PROGRAMMING
RESOURCES