The circular chromatic numbers of signed series-parallel graphs

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Title:	The circular chromatic numbers of signed series-parallel graphs
Authors:	Pan, Zhishi;Zhu, Xuding
Keywords:	Circular chromatic number;Signed graph;Series-parallel graph
Date:	2022-03
Issue Date:	2022-03-10 12:13:17 (UTC+8)
Publisher:	Simone Munao
Abstract:	It is known that any signed series-parallel graph (G,σ) has circular chromatic number at most 10/3. This paper proves that for each rational r ∈ [2, 10/3], there is a signed series-parallel graph (G,σ) whose circular chromatic number equals r.
Relation:	Discrete Mathematics 345(3), 112733
DOI:	10.1016/j.disc.2021.112733
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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