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arXiv · 2308.02127

Total outer-connected domination number of middle graphs

Farshad Kazemnejad·Behnaz Pahlavsay·Elisa Palezzato·Michele Torielli
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Abstract

In this paper, we study the total outer-connected domination number of the middle graph of a simple graph and we obtain tight bounds for this number in terms of the order of the middle graph. We also compute the total outer-connected domination number of some families of graphs, explicitly. Moreover, some Nordhaus-Gaddum-like relations are presented for the total outer-connected domination number of middle graphs.

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Farshad Kazemnejad, Behnaz Pahlavsay, Elisa Palezzato, Michele Torielli. 2023-08-04. Total outer-connected domination number of middle graphs. https://arxiv.org/abs/2308.02127

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