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From b-Coloring to $b^*$-Coloring: Large Girth and Parameterized Complexity

Balabán, Jakub et al.
arXiv (OAI Expanded) · Papers
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combinatoricsdata-structures-and-algorithmsdiscrete-mathematics
A b-coloring is a proper vertex coloring such that every color class contains a vertex, a so-called b-vertex, which sees all colors in its closed neighborhood. This type of coloring has been intensively studied from both structural and algorithmic point of view. Recently, Zaker [DAM 2025] introduced
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