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arxiv: 1705.03442 · v2 · pith:C7GN5FP3new · submitted 2017-05-09 · 🧮 math.CO

The Interactive Sum Choice Number of Trees

classification 🧮 math.CO
keywords choiceforestsformulainteractivenumberbonamycoloringintroduced
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We study the interactive sum choice number, a game coloring parameter introduced by Bonamy and Meeks, and obtain a recursive formula for the interactive sum choice number of forests. This formula coincides with a formula for the slow coloring cost of forests, a parameter introduced by Mahoney, Puleo, and West, and shows that these parameters are equal on forests. This answers a question of Bonamy and Meeks.

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