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math.CO2024
Clique density vs blowups
Domagoj Bradač, Hong Liu, Zhuo Wu +1
A well-known theorem of Nikiforov asserts that any graph with a positive -density contains a logarithmic blowup of . In this paper, we explore variants of Nikiforov's r…
math.CO2024
On a question of Erdős and Nešetřil about minimal cuts in a graph
Domagoj Bradač
Answering a question of Erdős and Nešetřil, we show that the maximum number of inclusion-wise minimal vertex cuts in a graph on vertices is at most for large enough…