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arxiv: 1705.09357 · v1 · pith:Q5AXQ2U6new · submitted 2017-05-25 · 🧮 math.CO

On Star Coloring of Splitting Graphs

classification 🧮 math.CO
keywords stargraphscoloringcompletesplittingappropriatebipartitecase
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In this paper, we consider the problem of a star coloring. In general case the problems in NP-complete. We establish the star chromatic number for splitting graph of complete and complete bipartite graphs, as well of paths and cycles. Our proofs are constructive, so they lead to appropriate star colorings of graphs under consideration.

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