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arXiv · 2608.15513

Extremal graphs for disjoint union of stars and paths

Wenqian Zhang
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Abstract

Let $F$ be a graph. A graph $G$ is called $F$-free if $G$ does not contain $F$ as a subgraph. Let ${\rm EX}(n,F)$ denote the set of $F$-free graphs of order $n$ with the maximum edges. In this paper, we characterize the graphs in ${\rm EX}(n,F)$ for large $n$, where $F$ is the disjoint union of paths and stars. This generalizes a result in \cite{LLP}.

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Wenqian Zhang. 2026-08-16. Extremal graphs for disjoint union of stars and paths. https://arxiv.org/abs/2608.15513

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