On Routing in Circulant Graphs

  title={On Routing in Circulant Graphs},
  author={Jin-Yi Cai and George Havas and Bernard Mans and Ajay Nerurkar and Jean-Pierre Seifert and Igor E. Shparlinski},
We investigate various problems related to circulant graphs { nding the shortest path between two vertices, nding the shortest loop, and computing the diameter. These problems are related to shortest vector problems in a special class of lattices. We give matching upper and lower bounds on the length of the shortest loop. We claim NPhardness results, and establish a worst-case/average-case connection for the shortest loop problem. A pseudo-polynomial time algorithm for these problems is also… CONTINUE READING

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On the complexity of computing short linearly independent vectors and short bases in a lattice

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