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Tuza's Conjecture for Threshold Graphs

Tuza famously conjectured in 1981 that in a graph without k+1 edge-disjoint triangles, it suffices to delete at most 2k edges to obtain a triangle-free graph. The conjecture holds for graphs with small treewidth or small maximum average degree, including planar graphs. However, for dense graphs that...

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Autori principali: Marthe Bonamy, Łukasz Bożyk, Andrzej Grzesik, Meike Hatzel, Tomáš Masařík, Jana Novotná, Karolina Okrasa
Natura: Artigo
Lingua:Inglês
Pubblicazione: Discrete Mathematics & Theoretical Computer Science 2022-08-01
Serie:Discrete Mathematics & Theoretical Computer Science
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Accesso online:https://dmtcs.episciences.org/7660/pdf
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