Extremal $$K_4$$-minor-free graphs without short cycles

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چکیده

Abstract We determine the maximum number of edges in a $$K_4$$ K 4 -minor-free n -vertex graph girth g , when $$g=5$$ g = 5 or is even. argue that there are many different extremal graphs if even and odd.

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ژورنال

عنوان ژورنال: Periodica Mathematica Hungarica

سال: 2022

ISSN: ['0031-5303', '1588-2829']

DOI: https://doi.org/10.1007/s10998-022-00465-7