Solving Edges Deletion Problem of Complete Graphs

AN Jasim, AA Najim - Baghdad Science Journal, 2024 - bsj.uobaghdad.edu.iq
As the network size increases, there is an increased probability that some components will
fail. It is therefore necessary for the network to be able to maintain the interconnection even …

Diameter of generalized Petersen graphs

L Loudiki, M Kchikech, EH Essaky - arXiv preprint arXiv:2102.10397, 2021 - arxiv.org
Due to their broad application to different fields of theory and practice, generalized Petersen
graphs $ GPG (n, s) $ have been extensively investigated. Despite the regularity of …

On the Total Domination and Vertex Covering of the Standard Chessboard

AN Jasim - Wasit Journal for Pure sciences, 2024 - wjps.uowasit.edu.iq
The movement of pieces on chessboards has led to several problems. Many researchers
have solved some of these problems, but many of them remain unsolved. Graph theory is a …

The diameter vulnerability of two-dimensional optimal circulant networks

EA Monakhova, OG Monakhov - Journal of Physics: Conference …, 2021 - iopscience.iop.org
This paper studies the effect of changing the diameter of the network in circulant networks of
dimension two with unreliable elements (nodes, links). The well-known (Δ, D, D', s)-problem …