At Least One in Six Galaxies Is Always Dead

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چکیده

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The distinguishing chromatic number of bipartite graphs of girth at least six

The distinguishing number $D(G)$ of a graph $G$ is the least integer $d$ such that $G$ has a vertex labeling   with $d$ labels  that is preserved only by a trivial automorphism. The distinguishing chromatic number $chi_{D}(G)$ of $G$ is defined similarly, where, in addition, $f$ is assumed to be a proper labeling. We prove that if $G$ is a bipartite graph of girth at least six with the maximum ...

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ژورنال

عنوان ژورنال: Research Notes of the AAS

سال: 2020

ISSN: 2515-5172

DOI: 10.3847/2515-5172/abd317