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【预告】学术报告(2026-3)4月2号-Human-verifiable proofs in the theory of word-representable graphs

2026-03-26 09:30  


学术报告通知

题目:                 Human-verifiable proofs in the theory of word-representable graphs
报告人:                 Sergey Kitaev (University of Strathclyde)
时间:                 4月2日 下午3:00
地点:                 博B108

摘要:

A graph is word-representable if it can be encoded by a word so that adjacency corresponds to alternation of letters; equivalently, such graphs admit semi-transitive orientations. While word-representability can be certified efficiently, proving that a graph is not word-representable is often difficult, as it may require ruling out all possible orientations. In this talk, we present recently developed methods for the automated search of human-verifiable proofs of non-word-representability. These methods produce short, checkable proofs using publicly available software, and we illustrate their effectiveness on the Shrikhande and Clebsch graphs.

报告人简介:

Sergey Kitaev,英国思克莱德大学教授,现任《Journal of Combinatorial Theory, Series A》、《Proceedings of the Edinburgh Mathematical Society》编委。他在哥德堡大学获得数学博士学位,师从Einar Steingrimsson。Kitaev教授的研究兴趣涉及组合学和图论的各个方面,已在《Journal of Combinatorial Theory, Series A》等期刊发表140余篇论文,并著有专著《Patterns in Permutations and Words》、《Words and Graphs》。

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