Abstract
A zero-sum flow is an assignment of nonzero integers to the edges such that the sum of the values of all edges incident with each vertex is zero, and we call it a zero-sum k-flow if the absolute values of edges are less than k. We recall the zero-sum flow number of G as the least integer kfor which G admitting a zero sum k-flow. In this paper we gave complete zero-sum flow and zero sum numbers for Octagonal Grid and Generalized Prism.
Original language | English |
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Pages (from-to) | 1027-1038 |
Number of pages | 12 |
Journal | Proyecciones |
Volume | 38 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2019 |
Keywords
- Generalized prism
- Octagonal grid
- Regular graph
- Zero-sum flow
ASJC Scopus subject areas
- General Mathematics