Powers of Hamiltonian cycles in multipartite graphs
نویسندگان
چکیده
We prove that if $G$ is a $k$-partite graph on $n$ vertices in which all of the parts have order at most $n/r$ and every vertex adjacent to least $1-1/r+o(1)$ proportion other part, then contains $(r-1)$-st power Hamiltonian cycle
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2022
ISSN: ['1872-681X', '0012-365X']
DOI: https://doi.org/10.1016/j.disc.2021.112747