A Cantor-Bernstein-type theorem for spanning trees in infinite graphs

نویسندگان

چکیده

We show that if a graph admits packing and covering both consisting of ? many spanning trees, where is some infinite cardinal, then the also decomposition into trees. For finite analogous question remains open, however, slightly weaker statement proved.

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series B

سال: 2021

ISSN: ['0095-8956', '1096-0902']

DOI: https://doi.org/10.1016/j.jctb.2021.01.004