Symmetric Set Coloring of Signed Graphs
نویسندگان
چکیده
Abstract There are many concepts of signed graph coloring which defined by assigning colors to the vertices graphs. These usually differ in number self-inverse used. We introduce a unifying concept for this kind elements from symmetric sets In first part paper, we study colorings with where is fixed. prove Brooks’-type theorem and upper bounds corresponding chromatic numbers terms underlying graph. results used second symset-chromatic $$\chi _\mathrm{sym}(G,\sigma )$$ χ sym ( G , σ ) $$(G,\sigma . show that gives minimum partition into independent non-bipartite antibalanced subgraphs. particular, ) \le \chi (G)$$ ≤ final section these can also be formalized as DP -colorings.
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ژورنال
عنوان ژورنال: Annals of Combinatorics
سال: 2022
ISSN: ['0219-3094', '0218-0006']
DOI: https://doi.org/10.1007/s00026-022-00593-4