12 papers · 1 filter
Derived Picard reconstruction for graded surfaces with stops
Wen Chang, Dongjian Wu
We study reconstruction of graded surfaces with stops from their mapping class groups and the derived Picard groups of their partially wrapped Fukaya categories. In genus…
Degree-square Turán problem for two self-converse tournaments
Zhuoran Han, Yaojun Chen
For a fixed digraph , let be the maximum of over all -vertex -free digraphs. Ai et al. [arXiv:2606.03520, 2026] a…
Ramsey multiplicity and extremal colorings for odd cycles
Ting Huang, Junying Lu, Jiabao Yang +1
The Ramsey number of a graph is the minimum positive integer such that every red/blue edge-coloring of the complete graph on vertices contains a monochroma…
Counterexamples to two conjectures on the diameter of clique-free graphs
Hangdi Chen, Yaojun Chen
Erdős et al. (JCT-B, 1989) conjectured that, for integers and with , every connected -free graph of order and minimum degree has diam…
New upper bound for the Ramsey number of odd cycles
Ting Huang, Jiabao Yang, Yaojun Chen
The \emph{-color Ramsey number} is the least integer such that any -edge-coloring of a complete graph has a monochromatic odd cycle …
Erdős--Ko--Rado theorems in -norm for three finite spaces
Qian Bao, Yaojun Chen, Yanbo Zhang
Let be a -uniform hypergraph. The famous Erdős--Ko--Rado (1961) theorem determines the maximum size and extremal structure for being -intersecting…
On monochromatic path covers conjecture of Erdős--Gyárfás
Hangdi Chen, Yaojun Chen
Erdős and Gyárfás conjectured in 1995 that, in every red--blue edge-coloring of a complete graph , the vertex set can be covered by at most monochromatic paths, all…
A note on tree-cycle Ramsey numbers
Ting Huang, Yanbo Zhang, Yaojun Chen
Let denote the Ramsey number of a tree on vertices versus a cycle of length . Burr, Erdős, Faudree, Rousseau, and Schelp (1982) asked for the least…
Two-block cycles and chromatic number of Hamiltonian digraphs
Ruilin Zheng, Junying Lu, Xiaolin Wang +1
Let and be positive integers. The family consists of all digraphs obtained from two internally vertex-disjoint directed paths of lengths at least and $\e…
On regular homogeneously traceable nonhamiltonian graphs
Hangdi Chen, Yaojun Chen
A graph is homogeneously traceable if each vertex is an endpoint of a Hamiltonian path. Chartrand, Gould, and Kapoor (1979) proved irregular homogeneously traceable nonhamiltonian…
Odd covers for complete graphs and complete 3-graphs
Ting Huang, Jiabao Yang, Yaojun Chen
The Graham-Pollak theorem says that one needs at least complete bipartite graphs to cover each edge of a complete graph on vertices exactly once. The odd cover…
The Turán number of the triangular pyramid of 4-layers
Hangdi Chen, Yaojun Chen, Xiutao Zhu
The Turán number of a graph is the maximum number of edges in any -free graph on vertices. The triangular pyramid of -layers, denoted by , is a genera…