Some modified types of pitchfork domination and it's inverse

Let G be a finite, simple graph, without isolated vertices. For any non-negative integers x and y, a set D ⊆ V is a ”pitchfork dominating set pds”, when every vertex in D, dominates at most y and at least x vertices of V − D. A subset D−1 of V − D is an inverse pds if it is a pitchfork set. The pit...

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Bibliographic Details
Main Authors: Mohammed A. Abdlhusein, Manal Naji Al-harere
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51201