Graphs and Combinatorics

, Volume 28, Issue 6, pp 823–830 | Cite as

Isomorphism Checking of I-graphs

Original Paper
First Online:
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Revised:

Abstract

We consider the class of I-graphs, which is a generalization of the class of the generalized Petersen graphs. We show that two I-graphs I(n, j, k) and I(n, j 1, k 1) are isomorphic if and only if there exists an integer a relatively prime to n such that either {j 1, k 1} =  {a j mod n, a k mod n } or {j 1, k 1} =  {a j mod n, − a k mod n }. This result has an application in the enumeration of non-isomorphic I-graphs and unit-distance representations of generalized Petersen graphs.

Keywords

Isomorphism I-graph Generalized Petersen graph 

Mathematics Subject Classification (2000)

05C60 05C75 05C30 11A07 
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Copyright information

© Springer 2011

Authors and Affiliations

  • Boris Horvat
    • 1
    • 2
  • Tomaž Pisanski
    • 2
    • 3
  • Arjana Žitnik
    • 2
    • 3
  1. 1.University of PrimorskaKoperSlovenia
  2. 2.Institute of Mathematics, Physics and MechanicsLjubljanaSlovenia
  3. 3.University of LjubljanaLjubljanaSlovenia

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