An improved bound on the chromatic number of the Pancake graphs

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چکیده

In this paper an improved bound on the chromatic number of Pancake graph $P_n, n\geqslant 2$, is presented. The obtained using a subadditivity property graph. We also investigate equitable coloring $P_n$. An $(n-1)$-coloring based efficient dominating sets given and optimal $4$-colorings are considered for small $n$. It conjectured that $P_n$ coincides with its any $n\geqslant 2$.

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ژورنال

عنوان ژورنال: Discussiones Mathematicae Graph Theory

سال: 2021

ISSN: ['1234-3099', '2083-5892']

DOI: https://doi.org/10.7151/dmgt.2432