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Additive spanners and (α, β)-spanners
2010
ACM Transactions on Algorithms
An (α, β)-spanner of an unweighted graph G is a subgraph H that distorts distances in G up to a multiplicative factor of α and an additive term β. It is well known that any graph contains a (multiplicative) (2k − 1, 0)-spanner of size O(n 1+1/k ) and an (additive) (1, 2)-spanner of size O(n 3/2 ). However no other additive spanners are known to exist. In this paper we develop a couple of new techniques for constructing (α, β)-spanners. Our first result is an additive (1, 6)-spanner of size O(n
doi:10.1145/1868237.1868242
fatcat:lpui4f4qhjha7kf5ky4ztbtwvy