Publication

Decomposition of geometric graphs into star-forests

János Pach
2025

Abstract

We solve a problem of Dujmović and Wood (2007) by showing that a complete convex geometric graph on n vertices cannot be decomposed into fewer than n−1 star-forests, each consisting of noncrossing edges. This bound is clearly tight. We also discuss similar questions for abstract graphs.

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Decomposition of geometric graphs into star-forests

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