On a metric property of perfect colorings

نویسندگان

چکیده

Given a perfect coloring of graph, we prove that the $L_1$ distance between two rows adjacency matrix graph is not less than corresponding parameter coloring. With help an algebraic approach, deduce corollaries this result for $2$-colorings, colorings in distance-$l$ graphs and distance-regular graphs. We also provide examples when obtained property reject several putative matrices infinite

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ژورنال

عنوان ژورنال: ????????? ??????????? ?????????????? ????????

سال: 2021

ISSN: ['1813-3304']

DOI: https://doi.org/10.33048/semi.2021.18.046