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- W2901142287 abstract "In [S. M. Hegde, Set colorings of graphs, European J. Combin. 30 (2009) 986–995.] Hegde introduced the notion of set colorings of a graph [Formula: see text] as an assignment of distinct subsets of a finite set [Formula: see text] of [Formula: see text] colors to the vertices of [Formula: see text] such that all the colors of the edges which are obtained as the symmetric differences of the subsets assigned to their end-vertices are distinct. Additionally, if all the sets on the vertices and edges of [Formula: see text] are the set of all nonempty subsets of [Formula: see text] then the coloring is said to be a strong set-coloring and [Formula: see text] is said to be strongly set-colorable. In this paper, we report some new necessary conditions and propose a conjuncture for the sufficient condition for a graph to admit strong set-coloring. We also identify and characterize some new classes of graphs admitting strong set-coloring. In addition to these, we also propose strategies to construct infinite families graphs admitting strong set-coloring." @default.
- W2901142287 created "2018-11-29" @default.
- W2901142287 creator A5005871386 @default.
- W2901142287 date "2019-02-01" @default.
- W2901142287 modified "2023-09-24" @default.
- W2901142287 title "Strongly set-colorable graphs" @default.
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- W2901142287 doi "https://doi.org/10.1142/s1793830919500071" @default.
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