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Broadcasting in butterfly and deBruijn networks
1994
Discrete Applied Mathematics
In addition, the presented lower bound technique is used to derive non-trivial lower bounds for broadcasting in the deBruijn network of dimension m. ...
In this paper, we present a new lower bound of 1.7417m for broadcasting in the butterfly network of dimension m. This improves the best known lower bound of 1.5621m. ...
broadcasting in the butterfly network BF(m) in time 2m -1. ...
doi:10.1016/0166-218x(94)90184-8
fatcat:g65jnm6sbbbhbibtgo5a5qqncy
Author index
1994
Discrete Applied Mathematics
Peine and E. Stiihr, Broadcasting in butterfly and deBruijn networks Konig, J.-C. and E. Lazard, Minimum k-broadcast graphs Kortsarz, G. and D. ...
Feldmann MahCo, M. and J.-F. Sacli, Some minimum broadcast graphs Maheo, M. and J.-F. Sacle, Note on the problem of gossiping in mutlidimensional grids Michallon, P. and D. ...
doi:10.1016/0166-218x(94)90195-3
fatcat:tbqkxb4ey5hmjfu5c3ndqdsewe
An Overview of Structured P2P Overlay Networks
[chapter]
2005
Handbook on Theoretical and Algorithmic Aspects of Sensor, Ad Hoc Wireless, and Peer-to-Peer Networks
Other systems in the same category include the DeBruijn-based and the Butterfly-based DHTs and such systems offer a logarithmic path length. ...
In that sense, it agrees with the conclusions of Koorde, Distance-Halving and Viceroy and shows a second way of building a Butterfly network. ...
doi:10.1201/9780203323687.ch39
fatcat:rz6c6ginb5dflaolyexagmbzvu
Algebraic Models for the Cube Connected Cycles and Shuffle Exchange Graphs
2011
2011 IEEE International Conference on High Performance Computing and Communications
This paper exploits these techniques to find optimal paths in the CCC and to explore the relationships between the Cube Connected Cycles, the Shuffle Exchange and the deBruijn networks. ...
Cube Connected Cycles (CCC) is an attractive interconnection network because of its symmetry, small constant node degree and a small diameter. ...
Similar algebraic models developed previously for the deBruijn network [12] and the Wrapped Butterflies [2] have allowed efficient mappings of cycles and trees on the Butterflies and provided insights ...
doi:10.1109/hpcc.2011.17
dblp:conf/hpcc/WaghB11
fatcat:gr4cecztwvf6lauy37ng7dvtta
Architectures and Algorithms for Internet-Scale (p2p) Data Management
[chapter]
2004
Proceedings 2004 VLDB Conference
It may not display correctly in other versions of PowerPoint. In particular, animations are often a problem. ...
DHT in action Operation: take key as input; route messages to node holding key DHT in action: put() insert(K 1 ,V 1 ) Operation: take key as input; route messages to node holding key ...
-Hypercube, Butterfly, DeBruijn, Chord, Pancake,
etc ...
doi:10.1016/b978-012088469-8.50117-0
dblp:conf/vldb/Hellerstein04
fatcat:crwdutblwvh77i4tbgivwdkmki
Honeycomb networks: Topological properties and communication algorithms
1997
IEEE Transactions on Parallel and Distributed Systems
Simple and optimal (in the number of required communication steps) routing, broadcasting, and semigroup computation algorithms are developed. ...
In addition to honeycomb meshes bounded by a regular hexagon, we consider also honeycomb networks with rhombus and rectangle as the bounding polygons. ...
ACKNOWLEDGMENTS The author is grateful to the referees whose careful reading has greatly improved the clarity and conciseness of the presentation, and to Professor Michael A. ...
doi:10.1109/71.629486
fatcat:thpowr3xnzdlfeacs6eskcnj6i
Towards Optimal Load Balancing Topologies
[chapter]
2000
Lecture Notes in Computer Science
A small flow volume and a small diameter of the graph keeps the time requirement of this phase low. We compare and propose several network topologies based on these measurements. ...
Its time requirement depends on the maximum node degree and on the number of eigenvalues of the network. The second phase migrates the load according to this flow. ...
We also considered the ¢ torus, the butterfly graph of dimension 4 and the DeBruijn graph of dimension 6. Several graphs can be expressed as a cartesian product like e. g. ...
doi:10.1007/3-540-44520-x_37
fatcat:753nmvt4qvgfhcjtxputwn4oqi
Optimal algorithms for dissemination of information in generalized communication modes
1994
Discrete Applied Mathematics
the accumulation problem and the broadcast problem (i.e. for most networks the optimal algorithm for the gossip problem is simply the concatenation of optimal algorithms for accumulation and broadcasting ...
For those networks in which a Hamiltonian path exists (hypercubes, cube connected cycles, butterflies, shuffle exchange, etc.) optimal algorithms can be obtained quite easily, but for complete binary trees ...
all the networks which have a Hamiltonian path such as hypercubes (Q,,), cube connected cycles (CCC,), butterflies (BF,), De-Bruijn networks (DB,), shuffle exchange networks (SX(n)) (see [12] for a ...
doi:10.1016/0166-218x(94)90179-1
fatcat:yic5npkmdnbyfir27f3cslumzm
Optimal algorithms for dissemination of information in generalized communication modes
[chapter]
1992
Lecture Notes in Computer Science
the accumulation problem and the broadcast problem (i.e. for most networks the optimal algorithm for the gossip problem is simply the concatenation of optimal algorithms for accumulation and broadcasting ...
For those networks in which a Hamiltonian path exists (hypercubes, cube connected cycles, butterflies, shuffle exchange, etc.) optimal algorithms can be obtained quite easily, but for complete binary trees ...
all the networks which have a Hamiltonian path such as hypercubes (Q,,), cube connected cycles (CCC,), butterflies (BF,), De-Bruijn networks (DB,), shuffle exchange networks (SX(n)) (see [12] for a ...
doi:10.1007/3-540-55599-4_84
fatcat:64zeze37ivaj5d67tzedqqpysu
Georoy: A location-aware enhancement to Viceroy peer-to-peer algorithm
2007
Computer Networks
Simulation results show that Georoy enables efficient and scalable search of resources and can be successfully used in wireless mesh community networks. ...
To support resource exchange in these wireless mesh community networks, algorithms for efficient retrieval of information are required. ...
For instance, CAN [15] routes along a hypercube, Chord [21] routes along a ring, Viceroy [12] is based on a butterfly network, Tapestry [8] uses a tree, and Koorde a DeBruijn graph [9] . ...
doi:10.1016/j.comnet.2006.09.017
fatcat:i2e6fujw35aflhe4akabu4wxim
A Survey on Area Planning for Heterogeneous Networks
2013
International Journal on Applications of Graph Theory In wireless Ad Hoc Networks And sensor Networks
The basic network can be modelled in different structures to overcome the problems in handling the user density patterns, utilizing the available bandwidth effectively and improvising the efficiency. ...
This paper deals with the survey of basic networks like Spidergon network and Honeycomb Torus network with respect to network cost. ...
√ 3√ √ Hypercube log n log n log 2 n n/2 Cube Connected Cycles 3 O(log n) O(log n) O(n/log n) Butterfly 4 O(log n) O(log n) O(n/log n) DeBruijn 4 O(log n) O(log n) O(n/log n) In 2009 Woo-seo Ki et al ...
doi:10.5121/jgraphoc.2013.5102
fatcat:efov5wvmhbcgtduau7dirxq7q4
Hyper-butterfly network: a scalable optimally fault tolerant architecture
Proceedings of the First Merged International Parallel Processing Symposium and Symposium on Parallel and Distributed Processing
Bounded degree networks like deBruijn graphs or wrapped butterfly networks are very important from VLSI implementation point of view as well as for applications where the computing nodes in the interconnection ...
But, hyper-deBruijn networks are not regular, are not optimally fault tolerant and the optimal routing is relatively complex. ...
The proposed graph seems to be an attractive alternative to the hyper-deBruijn networks [1] for designing multiprocessor networks. ...
doi:10.1109/ipps.1998.670008
dblp:conf/ipps/ShiS98
fatcat:kgy3cmn25rbifffj7sivmy5fhu
Always be Two Steps Ahead of Your Enemy
[article]
2021
arXiv
pre-print
We investigate the maintenance of overlay networks under massive churn, i.e. nodes joining and leaving the network. ...
Other than that, we only have the provably minimal restriction that new nodes can only join the network via nodes that have taken part in the network for at least one round. ...
Last, the SPARTAN framework presented in [3] probably bears the greatest resemblance with our work. In SPARTAN the nodes maintain a logical overlay resembling a butterfly network. ...
arXiv:1810.07077v2
fatcat:bjepdfhbwfhufn3bgi3kud667e
dBBlue
2003
Proceedings of the 2003 joint workshop on Foundations of mobile computing - DIALM-POMC '03
We discuss in detail a vigorous method to locally update the structure dBBlue using at most Ç´ÐÓ Òµ communications when a node joins or leaves the network. ...
most two piconets, and no node assumes both master and slave roles. ...
Notice that the MACs of Ú¿ and Ú in the piconet mastered by node Ù are ¿ and respectively, which are used only by nodes in this piconet and not broadcasted to the network. ...
doi:10.1145/941079.941083
dblp:conf/dialm/SongLWW03
fatcat:7krqvhxhnvgclpwslm7cm2aj3e
dBBlue: low diameter and self-routing Bluetooth scatternet
2005
Journal of Parallel and Distributed Computing
We discuss in detail a vigorous method to locally update the structure dBBlue using at most Ç´ÐÓ Òµ communications when a node joins or leaves the network. ...
most two piconets, and no node assumes both master and slave roles. ...
Notice that the MACs of Ú¿ and Ú in the piconet mastered by node Ù are ¿ and respectively, which are used only by nodes in this piconet and not broadcasted to the network. ...
doi:10.1016/j.jpdc.2004.09.013
fatcat:qm6yw3ug6jfmtmgcslu6pu6hh4
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