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20212024
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6 papers · 1 filter

math.CO2024

Kohayakawa-Nagle-R{ö}dl-Schacht conjecture for subdivisions

Hao Chen, Yupeng Lin, Jie Ma

In this paper, we study the well-known Kohayakawa-Nagle-R{ö}dl-Schacht (KNRS) conjecture, with a specific focus on graph subdivisions. The KNRS conjecture asserts that for any grap…

math.CO2023

Supersaturation beyond color-critical graphs

Jie Ma, Long-Tu Yuan

The supersaturation problem for a given graph asks for the minimum number of copies of in an -vertex graph with edges. Subsequent works by Rademac…

math.CO2023

A property on monochromatic copies of graphs containing a triangle

Hao Chen, Jie Ma

A graph is called common and respectively, strongly common if the number of monochromatic copies of in a 2-edge-coloring of a large clique is asymptotically minimised b…

math.CO2023

On local Turán density problems of hypergraphs

Chunqiu Fang, Guorong Gao, Jie Ma +1

For integers , we say that an -uniform hypergraph has property , if for any -vertex subset of , there exists a -vertex subset of…

math.CO2023

Optimal bisections of directed graphs

Guanwu Liu, Jie Ma, Chunlei Zu

In this paper, motivated by a problem of Scott and a conjecture of Lee, Loh and Sudakov we consider bisections of directed graphs. We prove that every directed graph with arcs…

math.CO2021

Towards a conjecture of Birmelé-Bondy-Reed on the Erdős-Pósa property of long cycles

Jie Ma, Chunlei Zu

A conjecture of Birmelé, Bondy and Reed states that for any integer , every graph without two vertex-disjoint cycles of length at least contains a set of at…