Abstract
A distance labeling scheme is an assignment of bit-labels to the vertices of an undirected, unweighted graph such that the distance between any pair of vertices can be decoded solely from their labels. We propose a series of new labeling schemes within the framework of so-called hub labeling (HL, also known as landmark labeling or 2-hop-cover labeling), in which each node u stores its distance to all nodes from an appropriately chosen set of hubs \(S(u) \subseteq V\). For a queried pair of nodes (u, v), the length of a shortest \(u\!-\!v\)-path passing through a hub node from \(S(u)\cap S(v)\) is then used as an upper bound on the distance between u and v.
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