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JOURNAL OF
ALGEBRAIC
COMBINATORICS

  Editors-in-chief: C. A. Athanasiadis, T. Lam, A. Munemasa, H. Van Maldeghem
ISSN 0925-9899 (print) • ISSN 1572-9192 (electronic)
 

\ell  1-Rigid Graphs

M. Deza and M. Laurent

DOI: 10.1023/A:1022441506632

Abstract

An ell 1-graph is a graph whose nodes can be labeled by binary vectors in such a way that the Hamming distance between the binary addresses is, up to scale, the distance in the graph between the corresponding nodes. We show that many interesting graphs are ell 1-rigid, i.e., that they admit an essentially unique such binary labeling.

Pages: 153–175

Keywords: $ell _{1}$-graph; cut cone; rigidity

Full Text: PDF

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