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Saturating flows in networks

1987
A saturating flow through a network satisfies the condition that if it uses an edge then it uses its whole capacity. We show that the problem to verify whether there is a non-zero saturating flow in a given network is strongly NP-complete. This problem restricted to edge series-parallel networks remains NP-complete, but there is a pseudopolynomial time
Bogdan S. Chlebus   +2 more
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Simplifying Flow Networks

2000
Maximum flow problems appear in many practical applications. In this paper, we study how to simplify a given directed flow network by finding edges that can be removed without changing the value of the maximum flow. We give a number of approaches which are increasingly more complex and more time-consuming, but in exchange they remove more and more ...
Therese C. Biedl   +2 more
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Complexity, Networks and Knowledge Flows

Academy of Management Proceedings, 2002
Because knowledge plays an important role in the creation of wealth, economic actors often wish to skew the flow of knowledge in their favor. We ask, when will an actor socially close to the source of some knowledge have the greatest advantage over distant actors in receiving and building on the knowledge?
Olav Sorenson   +2 more
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Packet Flow on Telecommunication Networks

SIAM Journal on Mathematical Analysis, 2006
The aim of this paper is to introduce a macroscopic fluid dynamic model dealing with the flow of information on a telecommunication network encoded in packets. Taking an intermediate time and space scale, we propose a model similar to that introduced recently for car traffic; see [G. M. Coclite, M. Garavello, and B. Piccoli, SIAM J. Math.
Ciro D'Apice   +2 more
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Networks and flow control

ACM SIGCOMM Computer Communication Review, 1982
The clear advantages inherent in dynamic sharing of resources has accelerated the development of distributed processing. The number of networks which provide resource sharing have increased steadily from the early years of ARPA network. As the number of users sharing the resources increases, there is a potential danger for degradation of services, if ...
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Cash Flows in Networks

Management Science, 1970
The concept of maximising present value is applied to the timing of activities in a network. The mathematical form of the problem is that of maximising a nonlinear function subject to linear constraints and can be solved as a succession of linear programmes.
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Network Information Flow in Network of Queues

2008 IEEE International Symposium on Modeling, Analysis and Simulation of Computers and Telecommunication Systems, 2008
Two classic categories of models exist for computer networks: network information flow and network of queues. The network information flow model appropriately captures the multi-hop flow routing nature in general network topologies, as well as encodable and replicable properties of information flows.
Phillipa Gill   +4 more
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On Some Network Flow Games

Mathematics of Operations Research, 1992
We analyze three subclasses of cooperative games arising from network optimization problems in which the resources, such as arcs or nodes in the network, are controlled by individuals who have conflicting objectives. The first subclass of cooperative games is induced by network optimization problems over directed augmented trees. We show that for this
Daniel Granot, Frieda Granot
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Lattice flows in networks

Problems of Information Transmission, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Network information flow

Fundam. Informaticae, 2006
Summary: A formal model for an analysis of an information flow in interconnection networks is presented. It is based on timed process algebra which can express also network properties. The information flow is based on a concept of deducibility on composition. Robustness of systems against network timing attacks is defined.
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