Open Access
RAIRO-Oper. Res.
Volume 55, Number 4, July-August 2021
Page(s) 2241 - 2246
Published online 29 July 2021
  • W. Babcock, Intermodulation interference in radio systems. Bell Labs Tech. J. 32 (1953) 63–73. [CrossRef] [Google Scholar]
  • S. Billinge, P. Duxbury, D. Gonçalves, C. Lavor and A. Mucherino, Recent results on assigned and unassigned distance geometry with applications to protein molecules and nanostructures. Ann. Oper. Res. 271 (2018) 161–203. [CrossRef] [Google Scholar]
  • G. Bloom and S. Golomb, Applications of numbered undirected graphs. Proc. IEEE 65 (1977) 562–570. [CrossRef] [Google Scholar]
  • E. Blum, J. Ribes and F. Biraud, Some new possibilities of optimum synthetic linear arrays for radioastronomy. Astron. Astrophys. 41 (1975) 409–411. [Google Scholar]
  • A. Dollas, W. Rankin and D. McCracken, A new algorithm for Golomb ruler derivation and proof of the 19 mark ruler. IEEE Trans. Inf. Theory 44 (1998) 379–382. [CrossRef] [Google Scholar]
  • K. Drakakis, A review of the available construction methods for Golomb rulers. Adv. Math. Commun. 3 (2009) 235–250. [CrossRef] [Google Scholar]
  • P. Erdös and P. Turán, On a problem of Sidon in additive number theory and on some related problems. J. London Math. Soc. 16 (1941) 212–215. [CrossRef] [Google Scholar]
  • B. Kocuk and W.-J. van Hoeve, A computational comparison of optimization methods for the Golomb Ruler Problem. Lecture Notes Comput. Sci. 11494 (2019) 409–425. [CrossRef] [Google Scholar]
  • C. Lavor, L. Liberti, W. Lodwick and T. Mendonça da Costa, An Introduction to Distance Geometry Applied to Molecular Geometry. Springer Briefs, Springer, New York (2017). [CrossRef] [Google Scholar]
  • L. Liberti and C. Lavor, Six mathematical gems from the history of distance geometry. Int. Trans. Oper. Res. 23 (2016) 897–920. [CrossRef] [Google Scholar]
  • L. Liberti and C. Lavor, Euclidean Distance Geometry: An Introduction. Springer, New York (2017). [CrossRef] [Google Scholar]
  • L. Liberti, C. Lavor, N. Maculan and A. Mucherino, Euclidean distance geometry and applications. SIAM Rev. 56 (2014) 3–69. [CrossRef] [Google Scholar]
  • R. Lorentzen and R. Nilsen, Application of linear programming to the optimal difference triangle set problem. IEEE Trans. Inf. Theory 37 (1991) 1486–1488. [CrossRef] [Google Scholar]
  • C. Meyer and B. Jaumard, Equivalence of some LP-based lower bounds for the Golomb Ruler Problem. Discrete Appl. Math. 154 (2006) 120–144. [CrossRef] [Google Scholar]
  • C. Meyer and P. Papakonstantinou, On the complexity of constructing Golomb Rulers. Discrete Appl. Math. 157 (2009) 738–748. [CrossRef] [Google Scholar]
  • A. Mucherino, C. Lavor, L. Liberti and N. Maculan, eds., Distance Geometry: Theory, Methods, and Applications. Springer, New York (2013). [CrossRef] [Google Scholar]
  • O. Oshiga and G. Abreu, Design of orthogonal Golomb rulers with applications in wireless localization. In: Proc. of the 48th Asilomar Conference on Signals, Systems and Computers (2014) 1497–1501. [Google Scholar]
  • J. Robinson and A. Bernstein, A class of binary recurrent codes with limited error propagation. IEEE Trans. Inf. Theory 13 (1967) 106–113. [CrossRef] [Google Scholar]
  • J. Shearer, Some new optimum Golomb rulers. IEEE Trans. Inf. Theory 36 (1990) 183–184. [CrossRef] [Google Scholar]
  • J. Shearer, Symmetric Golomb squares. IEEE Trans. Inf. Theory 50 (2004) 1846–1847. [CrossRef] [Google Scholar]
  • S. Sidon, Ein Satz uber trigonometrische polynome und seine anwendungen in der theorie der Fourier-Reihen. Math. Annal. 106 (1932) 536–539. [CrossRef] [Google Scholar]
  • J. Singer, A theorem in finite projective geometry and some applications to number theory. Trans. Am. Math. Soc. 43 (1938) 377–385. [CrossRef] [Google Scholar]
  • M. Slusky and W.-J. van Hoeve, A Lagrangian relaxation for Golomb rulers. Lecture Notes Comput. Sci. 7874 (2013) 251–267. [CrossRef] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.