This article is cited in 2 papers

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

Wenhua Lan^a, Xiang Lin Wei<sup>b

a</sup> Hebei Normal University
^b Hebei University of Science and Technology

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.

UDC: 517.956

Received: 04.03.2011
Revised: 30.08.2012

DOI: 10.4213/mzm10172

 English version: Mathematical Notes, 2013, 93:4, 510–522

Bibliographic databases:

• 
• 
• 
• 
•