24 papers
Behavioral Reprogramming of Open-Weights Models: Cognitive Plasticity and Alignment Bounds
Lucia Malíčková
Large language models (LLMs) are predominantly aligned to function as passive, sycophantic assistants. We challenge this default paradigm by empirically evaluating the cognitive pl…
Local and global average degree in bipartite graphs
Jianfeng Hou, Hongbin Zhao
The paper determines the asymptotic value of the maximum ratio between the smallest local average degree and the overall average degree in n‑vertex bipartite graphs without isolate…
Vector-valued smoothing for finite Sidon sets
Jianfeng Hou, Hongbin Zhao
Let denote the largest cardinality of a Sidon subset of . We prove \[ F(N)\le N^{1/2}+0.9435N^{1/4}+O(1). \] The argument uses a vector-valued convolutio…
A Spectral Theory of Normalized Corrected GNN Propagation
Qihan Chen, Wei Li, Meng Qin +1
We develop a spectral theory for \emph{normalized corrected GNN propagation}. The object of study is the symmetric normalized adjacency with its degree-stationary component removed…
Fixed-density profiles for the semi-induced 4-vertex star
Jinghua Deng, Jianfeng Hou
We study the fixed-density semi-inducibility profiles of the red-blue star , which has one distinguished center, two red edges and one blue edge. For an -vertex graph $…
Turán numbers of -uniform tight even cycles minus one edge
Wanfang Chen, Jianfeng Hou, Xizhi Liu +2
For every integer and sufficiently large , we show that the extremal construction for the Turán number of the -uniform tight cycle of length minus one edge…