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An Algorithm for Distributed Connectivity Decomposition and its Applications in Information Dissemination

Ebrahimi, Shahab | 2016

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  1. Type of Document: M.Sc. Thesis
  2. Language: English
  3. Document No: 49031 (52)
  4. University: Sharif University of Technology, International Campus, Kish Island
  5. Department: Science and Engineering
  6. Advisor(s): Izadi, Mohammad; Kavousi, Kaveh
  7. Abstract:
  8. The fundamental goal of communication networks is to transfer messages across the network between the nodes. Often, maximizing the information flow which is limited by connectivity of the network could be interesting. The concept of connectivity is divided into edge and vertex connectivity. If our focus were on the vertex-connectivity, connected dominating sets (CDS) could be a valuable tool. Obtaining (fractionally) vertex-disjoint connected dominating sets which are called fractional CDS packing presents a backbone to get an information flow matching the size of connectivity. In this thesis, we will present a distributed algorithm that is given a communication network with n nodes and vertex-connectivity k computes a Fractionally CDS packing of size Ω(k). The main intention of the algorithm is to get better results on the size of decomposition. This algorithm was first introduced by Censor-Hillel et al. with size of decomposition in order Ω(k/log⁡n ) that takes O(log3 n. min{D + √(n log⁡n ) log* n, (n log n)/ k}) rounds in the V-CONGEST model, where D denotes the diameter of the network. The main technical contribution of this thesis is to obtain CDS packing with size Ω(k) that is the best possible result and improves the previous results that obtain a packing with size Ω(k/log⁡n ) , although, the upper-bound time complexity of our algorithm is in order of O(n.(min {n/k , D + √n log^* n}))
  9. Keywords:
  10. Distributed System ; Information Diffusion ; Connectivity Decomposition ; Connected Dominating Sets (CDS) ; Fractional Connected Dominating Sets (CDS)

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