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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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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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