Isomorphism checking of I-graphs

SLO

First page / Show document

Show document

A- | A+ | Print

Title:	Isomorphism checking of I-graphs
Authors:	ID Horvat, Boris (Author) ID Pisanski, Tomaž (Author) ID Žitnik, Arjana (Author)
Files:	http://dx.doi.org/10.1007/s00373-011-1086-2
Language:	English
Work type:	Not categorized
Typology:	1.01 - Original Scientific Article
Organization:	IAM - Andrej Marušič Institute
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 $\{j_1, k_1\} = \{aj \mod n, \; ak \mod n \}$ or $\{j_1, k_1\} = \{aj \mod n, \; -ak \mod n\}$ . This result has an application in the enumeration of non-isomorphic $I$ -graphs and unit-distance representations of generalized Petersen graphs.
Keywords:	mathematics, graph theory, isomorphism, I-graph, generalized Petersen graph
Year of publishing:	2012
Number of pages:	str. 823-830
Numbering:	Vol. 28, no. 6
PID:	20.500.12556/RUP-444
ISSN:	0911-0119
UDC:	519.17
COBISS.SI-ID:	16069977
Publication date in RUP:	15.10.2013
Views:	6527
Downloads:	140
Metadata:
:	HORVAT, Boris, PISANSKI, Tomaž and ŽITNIK, Arjana, 2012, Isomorphism checking of I-graphs. [online]. 2012. Vol. 28, no. 6, p. 823–830. [Accessed 11 April 2025]. Retrieved from: http://dx.doi.org/10.1007/s00373-011-1086-2 Copy citation

Average score:	0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 (0 votes)
Your score:	Voting is allowed only for logged in users.
Share:

Similar works from our repository:

Similar works from other repositories:

Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Language:	Slovenian
Abstract:	Obravnavamo razred $I$ -grafov - posplošitev razreda t.i. posplošenih Petersenovih grafov. Pokažemo da sta $I$ -grafa $I(n, j, k)$ in $I(n, j_1, k_1)$ izomorfna natanko takrat, ko obstaja celo število $a$ tuje z $n$ , za katerega velja, da drži bodisi $\{j_1, k_1\} = \{aj \mod n, \; ak \mod n \}$ bodisi $\{j_1, k_1\} = \{aj \mod n, \; -ak \mod n\}$ . Ta rezultat je uporaben pri preštevanju neizomorfnih $I$ -grafov in predstavitev z enotsko razdaljo posplošenih Petersenovih grafov.
Keywords:	matematika, teorija grafov, izomorfizem, I-graf, posplošeni Petersenov graf

Leave comment

You must log in to leave a comment.

Comments (0)

0 - 0 / 0

There are no comments!

Back