Towards an architecture-independent analysis of parallel algorithms
SIAM Journal on Computing
The complexity of scheduling trees with communication delays
Journal of Algorithms
Scheduling UET-UCT series-parallel graphs on two processors
Theoretical Computer Science
Scheduling In and Out Forests in the Presence of Communication Delays
IEEE Transactions on Parallel and Distributed Systems
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
The Complexity of Scheduling Problems with Communication Delays for Trees
SWAT '92 Proceedings of the Third Scandinavian Workshop on Algorithm Theory
Optimal architecture-independent scheduling of fine-grain tree-sweep computations
SPDP '95 Proceedings of the 7th IEEE Symposium on Parallel and Distributeed Processing
Preemptive scheduling of independent jobs on identical parallel machines subject to migration delays
ESA'05 Proceedings of the 13th annual European conference on Algorithms
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We consider the problem of scheduling trees on two identical processors in order to minimize the makespan. We assume that tasks have unit execution times, and arcs are associated with large identical communication delays. We prove that the problem is NP-hard in the strong sense even when restricted to the class of binary trees, and we provide a polynomial-time algorithm for complete binary trees.