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The outerplanar Turán number of disjoint copies of paths

Jin Li, Yongxin Lan and Changqing Xu

Applied Mathematics and Computation, 2025, vol. 494, issue C

Abstract: A graph without a copy of T as a subgraph is called T-free. The outerplanar Turán number exOP(n,T) of T represents the maximum number of edges among all n-vertex T-free outerplanar graphs. In this paper, we investigate exOP(n,rPs) and determine its exact value for r,s≥2 and n≥rs. This extends a result of Fang and Zhai (2023) [7].

Keywords: Outerplanar graph; Turán number; Path (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:494:y:2025:i:c:s0096300325000232

DOI: 10.1016/j.amc.2025.129296

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