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NOWHERE-ZERO -FLOWS IN TWO FAMILIES OF VERTEX-TRANSITIVE GRAPHS
- Source :
- Bulletin of the Australian Mathematical Society. 107:353-360
- Publication Year :
- 2022
- Publisher :
- Cambridge University Press (CUP), 2022.
-
Abstract
- Let $\Gamma $ be a graph of valency at least four whose automorphism group contains a minimally vertex-transitive subgroup G. It is proved that $\Gamma $ admits a nowhere-zero $3$ -flow if one of the following two conditions holds: (i) $\Gamma $ is of order twice an odd number and G contains a central involution; (ii) G is a direct product of a $2$ -subgroup and a subgroup of odd order.
- Subjects :
- General Mathematics
Subjects
Details
- ISSN :
- 17551633 and 00049727
- Volume :
- 107
- Database :
- OpenAIRE
- Journal :
- Bulletin of the Australian Mathematical Society
- Accession number :
- edsair.doi...........4ab249aaf500fe7928b97e5dff447eb7