(1,2)-PDS in graphs with the small number of vertices of large degrees

We define and study a perfect \((1,2)\)-dominating set which is a special case of a \((1,2)\)-dominating set. We discuss the existence of a perfect \((1,2)\)-dominating set in graphs with at most two vertices of maximum degree. In particular, we present a complete solution if the maximum degree equa...

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Bibliographic Details
Main Authors: Urszula Bednarz, Mateusz Pirga
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2024-12-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol45/1/art/opuscula_math_4504.pdf
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