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A conjecture on triangles of graphs

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Abstract

We give various results related to the following conjecture: If a graphG does not contain more thank pairwise edge-disjoint triangles, then there exists a set of at most 2k edges that meets all triangles ofG.

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Tuza, Z. A conjecture on triangles of graphs. Graphs and Combinatorics 6, 373–380 (1990). https://doi.org/10.1007/BF01787705

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  • DOI: https://doi.org/10.1007/BF01787705

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