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Matematicheskie Zametki, 2013, Volume 93, Issue 4, Pages 492–508
DOI: https://doi.org/10.4213/mzm10172 (Mi mzm10172) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Classification of Seven-Point Four-Distance Sets in the Plane

Wenhua Lana, Xiang Lin Weib

a Hebei Normal University
b Hebei University of Science and Technology
Full-text PDF (574 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10172
Abstract: A point set X in the plane is called a k-distance set if there are exactly k different distances between two distinct points in X. In this paper, we classify 7-point 4-distance sets and show that there are forty two 7-point 4-distance sets in the plane up to isomorphism, we also give some results about diameter graphs.
Keywords: n-point k-distance set, isomorphism, diameter graph.
Received: 04.03.2011
Revised: 30.08.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 4, Pages 510–522
DOI: https://doi.org/10.1134/S000143461303019X
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: Wenhua Lan, Xiang Lin Wei, “Classification of Seven-Point Four-Distance Sets in the Plane”, Mat. Zametki, 93:4 (2013), 492–508; Math. Notes, 93:4 (2013), 510–522
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm10172
  • https://doi.org/10.4213/mzm10172
  • https://www.mathnet.ru/eng/mzm/v93/i4/p492
    • This publication is cited in the following 2 articles:
    1. Ferenc Szöllősi, Lecture Notes in Computer Science, 13034, Discrete and Computational Geometry, Graphs, and Games, 2021, 18  crossref
    2. Wei Xianglin, Li Guogang, Cong Yue, Gao Feixing, “Distance sets with diameter graph being cycle”, Taiwanese J. Math., 18:6 (2014), 1981–1990  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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