Zero-sum flow number of octagonal grid and generalized prism

Naeem, Muhammad ^[1] ; Imran, Muhammad ^[2] ; Ahmad, Sarfraz ^[3] ; Siddiqui, Muhammad Kamran ^[3]
1. [1] University of Lahore
  
  University of Lahore
  
  Pakistán
2. [2] United Arab Emirates University
  
  United Arab Emirates University
  
  Emiratos Árabes Unidos
3. [3] COMSATS Institute of Information Technology
  
  COMSATS Institute of Information Technology
  
  Pakistán
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Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 5, 2019, págs. 1027-1038
Idioma: inglés
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Resumen
- 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.