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Construction of crossing-critical graphs - MaRDI portal

Construction of crossing-critical graphs (Q1088998)

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scientific article; zbMATH DE number 4002117
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English
Construction of crossing-critical graphs
scientific article; zbMATH DE number 4002117

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    Construction of crossing-critical graphs (English)
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    1987
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    A graph is crossing-critical if deleting any edge decreases its crossing number on the plane. For any \(n\geq 2\) the author presents a construction of an infinite family of 3-connected crossing-critical graphs with crossing number n. Since no parallel edges are used in the construction, this result generalizes an earlier one of the reviewer in Discrete Math. 48, 129-132 (1984; Zbl 0535.05026)].
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    crossing number
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    crossing-critical graphs
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