3 papers
math.CO2026
Books versus Triangles near the n/6 Threshold
Kaizhe Chen, Jie Ma, Tianhen Wang
The book number of a graph is the maximum number of triangles sharing a common edge. A strengthening of Mantel's theorem due to Rademacher states that every -vertex g…
math.CO2025
On the number of triangles in -free graphs
Jialin He, Jie Ma, Yan Wang +1
ErdÅs asked whether for any -vertex graph , the parameter is at most , where the minimum is taken over all edg…
math.CO2025
On the multicolor Turán conjecture for color-critical graphs
Xihe Li, Jie Ma, Zhiheng Zheng
A {\it simple -coloring} of a multigraph is a decomposition of the edge multiset as a disjoint sum of simple graphs which are referred as colors. A subgraph of a mul…