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4 papers
AetherCode: Evaluating LLMs' Ability to Win In Premier Programming Competitions
Zihan Wang, Jiaze Chen, Zhicheng Liu +25
Competitive programming has emerged as a critical benchmark for evaluating the reasoning and coding capabilities of Large Language Models (LLMs). Despite impressive progress on exi…
Limit for Quotient Convergent Graph Sequence
Yaobin Chen, Zhicheng Liu, Yihang Xiao +1
Building on the limit theory for set functions, we prove that the limit of convergent sequence of bounded-degree graphs' cycle matroids can be represented as the cycle matroid of a…
Arborescences of Random Covering Graphs
Muchen Ju, Junjie Ni, Kaixin Wang +1
A rooted arborescence of a directed graph is a spanning tree directed towards a particular vertex. A recent work of Chepuri et al. showed that the arborescences of a covering graph…
Hybrid Pipe Dreams for Key Polynomials
Yihan Xiao, Rui Xiong, Haofeng Zhang
We develop a family of new combinatorial models for key polynomials. It is similar to the hybrid pipe dream model for Schubert polynomials defined recently by Knutson and Udell.