Approximate Distance Labeling Schemes
ESA '01 Proceedings of the 9th Annual European Symposium on Algorithms
Journal of Algorithms
Traveling with a Pez Dispenser (or, Routing Issues in MPLS)
SIAM Journal on Computing
Object location using path separators
Proceedings of the twenty-fifth annual ACM symposium on Principles of distributed computing
Proximity-preserving labeling schemes
Journal of Graph Theory
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We show that the vertices of an edge-weighted undirected graph can be labeled with labels of size O(n) such that the exact distance between any two vertices can be inferred from their labels alone in O(log^@?n) time. This improves the previous best exact distance labeling scheme that also requires O(n)-sized labels but O(loglogn) time to compute the distance. Our scheme is almost optimal as exact distance labeling is known to require labels of length @W(n).