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Stack-Number is Not Bounded by Queue-Number


We describe a family of graphs with queue-number at most 4 but unbounded stack-number. This resolves open problems of Heath, Leighton and Rosenberg (1992) and Blankenship and Oporowski (1999).

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Thanks to Édouard Bonnet for a helpful comment.

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Correspondence to David R. Wood.

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Research supported by NSERC.

Research supported by the Australian Research Council.

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Dujmović, V., Eppstein, D., Hickingbotham, R. et al. Stack-Number is Not Bounded by Queue-Number. Combinatorica 42, 151–164 (2022).

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Mathematics Subject Classification (2010)

  • 05C10