Vertex Removal on Perfect Italian Domination and ?pI-Stability of Graphs
- Title
- Vertex Removal on Perfect Italian Domination and ?pI-Stability of Graphs
- Creator
- Poovathingal, Agnes; Kureethara, Joseph Varghese
- Description
- Perfect Italian Domination (PID) is a domination concept where all vertices are assigned one of the labels among 0, 1 and 2 such that the sum of the labels in the neighbourhood of every vertex labelled 0 should be exactly 2. We examine a few graph classes of graphs and discuss the criticality of Perfect Italian Domination. We also define ?pI stable graphs and PID critical graphs. Following our definitions of ?pI-stable and PID critical graphs, we have grouped some graph classes. We characterise a family of trees that is ?pI-stable.. MatDer.
- Source
- Turkish Journal of Mathematics and Computer Science;Volume;17;Issue;1;pp.67-74
- Date
- 01-01-2025
- Publisher
- Association of Mathematicians (MATDER)
- Subject
- Leaf vertex; perfect Italian domination; Stem vertex
- Coverage
- Poovathingal A., Department of Mathematics, Research Scholar of Christ University, Karnataka, Bengaluru, 560029, India; Kureethara J.V., Department of Mathematics, Faculty of Christ University, Karnataka, Bengaluru, 560029, India
- Rights
- All Open Access; Gold Open Access
- Relation
- ISSN: 21481830;
- Format
- online
- Language
- English
- Type
- Article
Collection
Citation
Poovathingal, Agnes; Kureethara, Joseph Varghese, “Vertex Removal on Perfect Italian Domination and ?pI-Stability of Graphs,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/23619.