Non-isomorphic signatures on some generalised Petersen graph
| Main Authors: | Sehrawat, Deepak; Indian Institute of Technology Guwahati, Bhattacharjya, Bikash; Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati, India - 781039 |
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| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB
, 2021
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| Subjects: | |
| Online Access: |
https://www.ejgta.org/index.php/ejgta/article/view/816 https://www.ejgta.org/index.php/ejgta/article/view/816/pdf_176 |
Daftar Isi:
- 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.