S Alstrup, P Bille, T Rauhe - SIAM Journal on Discrete Mathematics, 2005 - SIAM
We consider labeling schemes for trees, supporting various relationships between nodes at small distance. For instance, we show that given a tree T and an integer k we can assign …
We consider distance labeling schemes for trees: given a tree with $ n $ nodes, label the nodes with binary strings such that, given the labels of any two nodes, one can determine …
C Gavoille, M Katz, NA Katz, C Paul… - Algorithms—ESA 2001: 9th …, 2001 - Springer
We consider the problem of labeling the nodes of an n-node graph G with short labels in such a way that the distance between any two nodes u, v of G can be approximated …
We consider NCA labeling schemes: given a rooted tree T, label the nodes of T with binary strings such that, given the labels of any two nodes, one can determine, by looking only at …
H Kaplan, T Milo - Algorithms and Data Structures: 7th International …, 2001 - Springer
We present a labeling scheme for rooted trees which allows to compute, from the label ofv alone, unique identifiers for the ancestors of v that are at distance at most d from v. For any …
The paper proposes a forbidden-set labeling scheme for the family of graphs with doubling dimension bounded by α. For an n-vertex graph G in this family, and for any desired …
O Weimann, D Peleg - Information processing letters, 2011 - Elsevier
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 …
Let f be a function on pairs of vertices. An f-labeling scheme for a family of graphs \mathcalF labels the vertices of all graphs in \mathcalF such that for every graph G∈\mathcalF and …
We consider the problem of labeling the nodes of a graph in a way that will allow one to compute the distance between any two nodes directly from their labels (without using any …