Gigabit networking
The virtual path layout problem in fast networks (extended abstract)
PODC '94 Proceedings of the thirteenth annual ACM symposium on Principles of distributed computing
The layout of virtual paths in ATM networks
IEEE/ACM Transactions on Networking (TON)
Integrated Broadband Networks; An Introduction to ATM-Based Networks
Integrated Broadband Networks; An Introduction to ATM-Based Networks
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
A Scalable Approach to Routing in ATM Networks
WDAG '94 Proceedings of the 8th International Workshop on Distributed Algorithms
ICALP '97 Proceedings of the 24th International Colloquium on Automata, Languages and Programming
SOFSEM '97 Proceedings of the 24th Seminar on Current Trends in Theory and Practice of Informatics: Theory and Practice of Informatics
Optimal Layouts on a Chain ATM Network (Extended Abstract)
ESA '95 Proceedings of the Third Annual European Symposium on Algorithms
Hop-congestion trade-offs for high-speed networks
SPDP '95 Proceedings of the 7th IEEE Symposium on Parallel and Distributeed Processing
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In this paper we introduce and analyze two new cost measures related to the communication overhead and the space requirements associated with virtual path layouts in ATM networks, that is the edge congestion and the node congestion. Informally, the edge congestion of a given edge e at an incident node u is defined as the number of VPs terminating at or starting from u and using e, while the node congestion of a node v is defined as the number of VPs having v as an endpoint. We investigate the problem of constructing virtual path layouts allowing to connect a specified root node to all the others in at most h hops and with maximum edge or node congestion c, for two given integers h and c. We first give tight results concerning the time complexity of the construction of such layouts for both the two congestion measures, that is we exactly determine all the tractable and intractable cases. Then, we provide some combinatorial bounds for arbitrary networks, together with optimal layouts for specific topologies such as chains, rings and grids.