Abstract
We consider the problem of approximating optimal hub labelings in the context of labeling algorithms for the shortest path problem. A previous result was a O(logn) approximating for minimizing the total label size. We give an O(logn)-approximation algorithm for the maximum label size. We also give O(logn)-approximation algorithms for natural generalizations of the problem: Minimizing an ℓ p norm of the labeling and simultaneously minimizing ℓ p and ℓ q norms.
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Babenko, M., Goldberg, A.V., Gupta, A., Nagarajan, V. (2013). Algorithms for Hub Label Optimization. In: Fomin, F.V., Freivalds, R., Kwiatkowska, M., Peleg, D. (eds) Automata, Languages, and Programming. ICALP 2013. Lecture Notes in Computer Science, vol 7965. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39206-1_7
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DOI: https://doi.org/10.1007/978-3-642-39206-1_7
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