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An advanced application of the Minor Structure Theorem used to show the presence of large bipartite minors in sufficiently connected graphs. This application requires a more delicate apex vertex and vortex analysis, and we take this as an opportunity to derive a stronger form of the Minor Structure Theorem suitable for this task.

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Minors in Large Connected Graphs

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  • 发表日期：

    2025年

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  • Zdeněk Dvořák

摘要

An advanced application of the Minor Structure Theorem used to show the presence of large bipartite minors in sufficiently connected graphs. This application requires a more delicate apex vertex and vortex analysis, and we take this as an opportunity to derive a stronger form of the Minor Structure Theorem suitable for this task.