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Title: A note on the density of M-sets in geometric sequence
Authors: Pandey R.K.
Tripathi A.
Published in: Ars Combinatoria
Abstract: For a given set M of positive integers, a well known problem of Motzkin asks for determining the maximal density μ(M) among sets of nonnegative integers in which no two elements differ by an element of M. The problem is completely settled when |M| ≤ 2, and some partial results are known for several families of M for |M| ≥ 3, including the case where the elements of M are in arithmetic progression. We resolve the problem in case of geometric progressions and geometric sequences.
Citation: Ars Combinatoria (2015), 119(): 221-224
Issue Date: 2015
Publisher: Charles Babbage Research Centre
Keywords: Density
ISSN: 3817032
Author Scopus IDs: 35097679700
Author Affiliations: Pandey, R.K., School of Mathematics, Harish-Chandra Research Institute, Jhusi, Allahabad, 211019, India
Tripathi, A., Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi, 110016, India
Corresponding Author: Tripathi, A.; Department of Mathematics, Indian Institute of TechnologyIndia; email:
Appears in Collections:Journal Publications [MA]

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