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Distance Labeling in Graphs (2000)  (Make Corrections)  (34 citations)
Cyril Gavoille, David Peleg, Stéphane Pérennes, Ran Raz
Symposium on Discrete Algorithms



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Abstract: 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 additional information). Our main interest is in the minimal length of labels needed in different cases. We obtain upper and lower bounds for several interesting families of graphs. In particular, our main results are the following. For general graphs, we show that the length needed is #(n). For trees, we show that the... (Update)

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BibTeX entry:   (Update)

C. Gavoille, D. Peleg, S. Perennes, R. Raz, Distance labeling in graphs, Research Report RR-1239-00, 2000, LaBRI. http://citeseer.ist.psu.edu/gavoille00distance.html   More

@inproceedings{ gavoille01distance,
    author = "Cyril Gavoille and David Peleg and Stephane Perennes and Ran Raz",
    title = "Distance labeling in graphs",
    booktitle = "Symposium on Discrete Algorithms",
    pages = "210-219",
    year = "2001",
    url = "citeseer.ist.psu.edu/gavoille00distance.html" }
Citations (may not include all citations):
660   An Introduction to Kolmogorov Complexity and its Application.. - Li, Vitnyi - 1993
101   Labelling and implicit routing in networks (context) - Santoro, Khatib - 1985
66   A trade-off between space and efficiency for routing tables (context) - Peleg, Upfal - 1989
61   A separator theorem for graphs with an excluded minor and it.. (context) - Alon, Seymour et al. - 1990
26   Implicit representation of graphs - Kannan, Naor et al. - 1988
21   Informative labeling schemes for graphs (context) - Peleg - 2000
19   On embedding graphs in squashed cubes (context) - Graham, Pollak - 1972
17   Shallow excluded minors and improved graph decomposition - Plotkin, Rao et al. - 1994
16   Distance labeling schemes for well-separated graph classes (context) - Katz, Katz et al. - 2000
16   A separation theorem for graphs of bounded genus (context) - Gilbert, Hutchinson et al. - 1984
14   Proximity-preserving labeling schemes (context) - Peleg - 2000
12   Proof of the squashed cube conjecture (context) - Winkler - 1983
12   An unexpected result on coding the vertices of a graph (context) - Breuer, Folkman - 1967
9   Coding the vertexes of a graph (context) - Breuer - 1966
2   Optimal distance labeling schemes for interval and circular-.. (context) - Gavoille, Paul - 2003

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