Zero-sum flow number of octagonal grid and generalized prism
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 k...
| Authors: | ; ; ; |
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| Format: | Article |
| Status: | Published version |
| Publication date: | 2019 |
| Country: | Chile |
| Institution: | Agencia Nacional de Investigación y Desarrollo |
| Repository: | SciELO Chile |
| Language: | English |
| OAI Identifier: | oai:scielo:S0716-09172019000501027 |
| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501027 |
| Access Level: | Open access |
| Keyword: | Regular graph Zero-sum flow Octagonal grid Generalized prism |
| Summary: | 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 k for 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. |
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