Non-isomorphic signatures on some generalised Petersen graph

Deepak Sehrawat, Bikash Bhattacharjya

Abstract


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.


Keywords


signed graph, generalised Petersen graph, balance, switching, switching isomorphism

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DOI: http://dx.doi.org/10.5614/ejgta.2021.9.2.1

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