A property of a particular generalized Petersen unit-distance graph

A generalized Petersen graph is a graph with 2n vertices, where each vertex has degree 3 and there are 3n edges. A unit-distance graph is a graph with every edge of 1 unit length. We study the geometric transformation of a generalized Petersen graph into a generalized Petersen unit-distance graph an...

Full description

Saved in:
Bibliographic Details
Published inMathematical Modeling and Computing Vol. 12; no. 2; pp. 461 - 467
Main Authors Kaenthong, N., Thongnork, P., Thongroek, P., Siriwong, P.
Format Journal Article
LanguageEnglish
Published 2025
Online AccessGet full text

Cover

More Information
Summary:A generalized Petersen graph is a graph with 2n vertices, where each vertex has degree 3 and there are 3n edges. A unit-distance graph is a graph with every edge of 1 unit length. We study the geometric transformation of a generalized Petersen graph into a generalized Petersen unit-distance graph and the rotation angles of the n-pointed star of the generalized Petersen unit-distance graph. Then, we obtain the properties of the generalized Petersen unit-distance graph and the rotation angles of the n-pointed star of the generalized Petersen unit-distance graph by using geometric transformations, trigonometric functions, and the rule of sine and cosine, along with similar polygons.
ISSN:2312-9794
2415-3788
DOI:10.23939/mmc2025.02.461