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arxiv: 1812.08382 · v1 · pith:XVOIYP5Mnew · submitted 2018-12-20 · 🧮 math.CO

Signed Chromatic Polynomials of Signed Book Graphs

classification 🧮 math.CO
keywords signedbookchromaticgraphgraphsnumberpolynomialsarticle
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In 2015, Matthias Beck and his team developed a computer program in SAGE which efficiently determines the number of signed proper $k$-colorings for a given signed graph. In this article, we determine the number of different signatures on Book graph up to switching isomorphisms. We also find a recursive formula of the signed chromatic polynomials of signed Book graphs.

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