Non-isomorphic signatures on some generalised Petersen graph

Autor: Deepak Sehrawat, Bikash Bhattacharjya
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Electronic Journal of Graph Theory and Applications, Vol 9, Iss 2, Pp 235-255 (2021)
Druh dokumentu: article
ISSN: 2338-2287
DOI: 10.5614/ejgta.2021.9.2.1
Popis: In this paper we find the number of different signatures of P(3, 1),P(5, 1) and P(7, 1) up to switching isomorphism, where P(n, k) denotes the generalised Petersen graph, 2k n. We also count the number of non-isomorphic signatures on P(2n + 1, 1) of size two for all n ≥ 1, and we conjecture that any signature of P(2n + 1, 1), up to switching, is of size at most n + 1.
Databáze: Directory of Open Access Journals