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- W4384342743 abstract "In this paper we consider the zeros of the chromatic polynomial of series-parallel graphs. Complementing a result of Sokal, giving density outside the disk $|q-1|leq1$, we show density of these zeros in the half plane $Re(q)>3/2$ and we show there exists an open region $U$ containing the interval $(0,32/27)$ such that $Usetminus{1}$ does not contain zeros of the chromatic polynomial of series-parallel graphs.
 We also disprove a conjecture of Sokal by showing that for each large enough integer $Delta$ there exists a series-parallel graph for which all vertices but one have degree at most $Delta$ and whose chromatic polynomial has a zero with real part exceeding $Delta$." @default.
- W4384342743 created "2023-07-15" @default.
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- W4384342743 date "2023-07-14" @default.
- W4384342743 modified "2023-10-18" @default.
- W4384342743 title "On the Location of Chromatic Zeros of Series-Parallel Graphs" @default.
- W4384342743 doi "https://doi.org/10.37236/11204" @default.
- W4384342743 hasPublicationYear "2023" @default.
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