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Durham University

Computer Science


Publication details for Professor Iain Stewart

Stewart, I.A. & Xiang, Y. (2010). One-to-many node-disjoint paths in (n,k)-star graphs. Discrete Applied Mathematics 158(1): 62-70.

Author(s) from Durham


We present an algorithm which given a source node and a set of n−1 target nodes in the (n,k)-star graph Sn,k, where all nodes are distinct, builds a collection of n−1 node-disjoint paths, one from each target node to the source. The collection of paths output from the algorithm is such that each path has length at most 6k−7, and the algorithm has time complexity O(k2n2).