%0 Conference Proceedings %T A Self-stabilizing One-To-Many Node Disjoint Paths Routing Algorithm in Star Networks %+ Université de Picardie Jules Verne (UPJV) %+ Modélisation, Information et Systèmes - UR UPJV 4290 (MIS) %A Hadid, Rachid %A Villain, Vincent %Z Part 5: Distributed Algorithms %< avec comité de lecture %( Lecture Notes in Computer Science %B 20th IFIP International Conference on Distributed Applications and Interoperable Systems (DAIS) %C Valletta, Malta %Y Anne Remke %Y Valerio Schiavoni %I Springer International Publishing %3 Distributed Applications and Interoperable Systems %V LNCS-12135 %P 186-203 %8 2020-06-15 %D 2020 %R 10.1007/978-3-030-50323-9_12 %K Fault-tolerance %K Self-stabilization %K Distributed systems %K Star networks %K Node disjoint paths %Z Computer Science [cs] %Z Computer Science [cs]/Networking and Internet Architecture [cs.NI]Conference papers %X The purpose of the paper is to present the first self-stabilizing algorithm for finding $$n-1$$ one-to-many node-disjoint paths in message passing model. Two paths in a network are said to be node disjoint if they do not share any nodes except for the endpoints. Our proposed algorithm works on n-dimensional star networks $$S_n$$. Given a source node s and a set of $$D = \{d_1, d_2, ...,d_{n-1} \}$$ of $$n-1$$ destination nodes in the n-dimensional star network, our algorithm constructs $$n-1$$ node-disjoints paths $$P_1, P_2,...,P_{n-1}$$, where $$P_i$$ is a path from s to $$d_i$$, $$1 \le i \le n-1$$. Since the proposed solution is self-stabilizing [7], it does not require initialization and withstands transient faults. The stabilization time of our algorithm is $$O(n^2)$$ rounds. %G English %Z TC 6 %Z WG 6.1 %2 https://inria.hal.science/hal-03223260/document %2 https://inria.hal.science/hal-03223260/file/495624_1_En_12_Chapter.pdf %L hal-03223260 %U https://inria.hal.science/hal-03223260 %~ UNIV-PICARDIE %~ IFIP-LNCS %~ IFIP %~ IFIP-TC %~ IFIP-WG %~ IFIP-TC6 %~ IFIP-WG6-1 %~ IFIP-DAIS %~ U-PICARDIE %~ MIS %~ IFIP-LNCS-12135 %~ UPJV-MIS-SDMA