On Nordhaus-Gaddum type relations of δ-complement graphs

Vichitkunakorn, Panupong; Maungchang, Rasimate; Tangjai, Wipawee

doi:10.1016/j.heliyon.2023.e16630

Heliyon

2023

DOI: 10.1016/j.heliyon.2023.e16630

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On Nordhaus-Gaddum type relations of δ-complement graphs

Panupong Vichitkunakorn

Rasimate Maungchang

Wipawee Tangjai

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2024

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Cited by 1 publication

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On the δ-chromatic numbers of the Cartesian products of graphs

Tangjai,

Pho-on,

Vichitkunakorn

2024

Open Mathematics

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In this work, we study the δ \delta -chromatic number of a graph, which is the chromatic number of the δ \delta -complement of a graph. We give a structure of the δ \delta -complements and sharp bounds on the δ \delta -chromatic numbers of the Cartesian products of graphs. Furthermore, we compute the δ \delta -chromatic numbers of various classes of Cartesian product graphs, including the Cartesian products among cycles, paths, and stars.

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On the δ-chromatic numbers of the Cartesian products of graphs

Tangjai,

Pho-on,

Vichitkunakorn

2024

Open Mathematics

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On Nordhaus-Gaddum type relations of δ-complement graphs

Cited by 1 publication

References 10 publications

On the δ-chromatic numbers of the Cartesian products of graphs

On the δ-chromatic numbers of the Cartesian products of graphs

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