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》。