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...

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Autores principales:	Naeem,Muhammad, Imran,Muhammad, Ahmad,Sarfraz, Siddiqui,Muhammad Kamran
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:	Regular graph Zero-sum flow Octagonal grid Generalized prism
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501027
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spelling	oai:scielo:S0716-091720190005010272020-01-07Zero-sum flow number of octagonal grid and generalized prismNaeem,MuhammadImran,MuhammadAhmad,SarfrazSiddiqui,Muhammad Kamran Regular graph Zero-sum flow Octagonal grid 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 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.5 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501027en10.22199/issn.0717-6279-2019-05-0066
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Regular graph Zero-sum flow Octagonal grid Generalized prism
spellingShingle	Regular graph Zero-sum flow Octagonal grid Generalized prism Naeem,Muhammad Imran,Muhammad Ahmad,Sarfraz Siddiqui,Muhammad Kamran Zero-sum flow number of octagonal grid and generalized prism
description	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.
author	Naeem,Muhammad Imran,Muhammad Ahmad,Sarfraz Siddiqui,Muhammad Kamran
author_facet	Naeem,Muhammad Imran,Muhammad Ahmad,Sarfraz Siddiqui,Muhammad Kamran
author_sort	Naeem,Muhammad
title	Zero-sum flow number of octagonal grid and generalized prism
title_short	Zero-sum flow number of octagonal grid and generalized prism
title_full	Zero-sum flow number of octagonal grid and generalized prism
title_fullStr	Zero-sum flow number of octagonal grid and generalized prism
title_full_unstemmed	Zero-sum flow number of octagonal grid and generalized prism
title_sort	zero-sum flow number of octagonal grid and generalized prism
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501027
work_keys_str_mv	AT naeemmuhammad zerosumflownumberofoctagonalgridandgeneralizedprism AT imranmuhammad zerosumflownumberofoctagonalgridandgeneralizedprism AT ahmadsarfraz zerosumflownumberofoctagonalgridandgeneralizedprism AT siddiquimuhammadkamran zerosumflownumberofoctagonalgridandgeneralizedprism
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Zero-sum flow number of octagonal grid and generalized prism

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