Labeling Schemes with Queries

dc.creatorKorman, Amos
dc.creatorKutten, Shay
dc.date2006-09-29
dc.date.accessioned2026-07-07T07:23:59Z
dc.date.available2026-07-07T07:23:59Z
dc.descriptionWe study the question of ``how robust are the known lower bounds of labeling schemes when one increases the number of consulted labels''. Let $f$ be a function on pairs of vertices. An $f$-labeling scheme for a family of graphs $\cF$ labels the vertices of all graphs in $\cF$ such that for every graph $G\in\cF$ and every two vertices $u,v\in G$, the value $f(u,v)$ can be inferred by merely inspecting the labels of $u$ and $v$. This paper introduces a natural generalization: the notion of $f$-labeling schemes with queries, in which the value $f(u,v)$ can be inferred by inspecting not only the labels of $u$ and $v$ but possibly the labels of some additional vertices. We show that inspecting the label of a single additional vertex (one {\em query}) enables us to reduce the label size of many labeling schemes significantly.
dc.identifierhttps://arxiv.org/abs/cs/0609163
dc.identifierhttp://arxiv.org/abs/cs/0609163
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116184
dc.subjectDistributed, Parallel, and Cluster Computing
dc.titleLabeling Schemes with Queries
dc.typetext

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