Irreversible k-Threshold Conversion Number of the Strong Product of Two Paths when k=2,3

Authors

  • Ramy Shaheen Tishreen University
  • Suhail Mahfud Tishreen University
  • Ali Kassem Tishreen University

Abstract

                The irreversible k-threshold conversion process on a simple and finite graph  is an iterative process which starts by choosing a set , and for each step    is obtained from  by adjoining all vertices that have at least k neighbors in .  is called the seed set of the k-threshold conversion process and is called an irreversible k-threshold conversion set (IkCS) of  if  for some  . The minimum cardinality of all the IkCSs of  is referred to as the irreversible k-threshold conversion number of and is denoted by  In this paper, we determine the irreversible k-threshold conversion number of the strong product of two paths  and  for  and arbitrary  when

Downloads

Published

2022-08-03

How to Cite

1.
رامي شاهين, سهيل محفوض, علي قاسم. Irreversible k-Threshold Conversion Number of the Strong Product of Two Paths when k=2,3. TUJ-BA [Internet]. 2022Aug.3 [cited 2024Nov.29];44(3):67-82. Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/13249

Issue

Vol. 44 No. 3 (2022): Tishreen University Journal of Research and Scientific Studies - Basic Sciences Series

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

The authors retain the copyright and grant the right to publish in the magazine for the first time with the transfer of the commercial right to the Tishreen University Journal -Basic Sciences Series  

 Under a CC BY- NC-SA 04 license that allows others to share the work with of the work's authorship and initial publication in this journal. Authors can use a copy of their articles in their scientific activity, and on their scientific websites, provided that the place of publication is indicted in Tishreen University Journal -Basic Sciences Series .  The Readers have the right to send, print and subscribe to the initial version of the article, and the title of Tishreen University Journal -Basic Sciences Series   Publisher

 

journal uses a CC BY-NC-SA license which mean

You are free to:

  • Adapt — remix, transform, and build upon the material
  •  
  • The licensor cannot revoke these freedoms as long as you follow the license terms.

 

  • Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • NonCommercial — You may not use the material for commercial purposes.
  • ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
  • No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.