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math.CO2020★ 2 cited
Fractional triangle decompositions in almost complete graphs
Vytautas Gruslys, Shoham Letzter
We prove that every -vertex graph with at least edges has a fractional triangle decomposition, for . This is a key ingredient in our proof, giv…
math.CO2020★ 2 cited
Monochromatic triangle packings in red-blue graphs
Vytautas Gruslys, Shoham Letzter
We prove that in every -edge-colouring of there is a collection of edge-disjoint monochromatic triangles, thus confirming a conjecture of Erdős. We also…