On completely regular codes with minimum eigenvalue in geometric graphs
نویسندگان
چکیده
We prove that any completely regular code with minimum eigenvalue in geometric graph Γ corresponds to a the clique of Γ. Studying interrelation these codes, complete characterization codes Johnson graphs J(n,w) covering radius w−1 and strength 1 is obtained. In particular this result finishes J(n,3). also classify J(n,4) only one case for eigenvalues left open.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2023
ISSN: ['1872-681X', '0012-365X']
DOI: https://doi.org/10.1016/j.disc.2023.113357