How long can a graph be kept planar? (Q1010669)
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scientific article; zbMATH DE number 5540876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | How long can a graph be kept planar? |
scientific article; zbMATH DE number 5540876 |
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How long can a graph be kept planar? (English)
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7 April 2009
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Summary: The graph (non-)planarity game is played on the complete graph \(K_n\) between an Enforcer and an Avoider, each of whom take one edge per round. The game ends when the edges chosen by Avoider form a non-planar subgraph. We show that Avoider can play for \(3n-26\) turns, improving the previous bound of \(3n-28\sqrt n\).
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