Inverse Odd Neighbor in D^{-1}^c Domination Number in Graphs

In this paper, we introduce a new definition of an inverse domination number called an inverse odd neighbor in D^{- 1}^c domination number. For any connected graph G, D is a minimum odd neighbor in D^c dominating set if D^c has a dominating set, say D^{-1}, with vertices dominating to an odd number of vertices in D^{-1}^c. This set is called an inverse odd neighbor in D^{-1}^c domination number.

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Publication Details

Journal
International journal of mathematics and computer science
Published
2024-10-20
DOI
https://doi.org/10.69793/ijmcs/01.2025/haneen
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
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article

Inverse Odd Neighbor in D^{-1}^c Domination Number in Graphs

Haneen Aljanaby, Sarah Alsaebari, Fatima Awad
International journal of mathematics and computer science
Advanced Graph Theory Research
article

Inverse Odd Neighbor in D^{-1}^c Domination Number in Graphs

Haneen Aljanaby, Sarah Alsaebari, Fatima Awad
article en

Abstract

In this paper, we introduce a new definition of an inverse domination number called an inverse odd neighbor in D^{- 1}^c domination number. For any connected graph G, D is a minimum odd neighbor in D^c dominating set if D^c has a dominating set, say D^{-1}, with vertices dominating to an odd number of vertices in D^{-1}^c. This set is called an inverse odd neighbor in D^{-1}^c domination number.

International journal of mathematics and computer science
Reduced inequalities
Openalex Percentile: Top 78%
Advanced Graph Theory Research
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Inverse Odd Neighbor in D^{-1}^c Domination Number in Graphs — Haneen Aljanaby, Sarah Alsaebari, et al. · International journal of mathematics and computer science (2024) | TGRS Research Map | TGRS