Alon-Tarsi Number of Some Regular Graphs

April 10, 2023 · The Ethereal · + Add venue

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Authors S. Prajnanaswaroopa arXiv ID 2304.04531 Category math.CO: Combinatorics Cross-listed cs.DM, cs.DS Citations 0 Last Checked 3 months ago
Abstract
The Alon-Tarsi number of a polynomial is a parameter related to the exponents of its monomials. For graphs, their Alon-Tarsi number is the Alon-Tarsi number of their graph polynomials. As such, it provides an upper bound on their choice and online choice numbers. In this paper, we obtain the Alon-Tarsi number of some complete multipartite graphs, line graphs of some complete graphs of even order, and line graphs of some other regular graphs.
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