重庆大学傅士硕研究员学术报告

报告题目：Two bijections on weakly increasing trees

报告人：傅士硕研究员

报告时间：2021/06/07 14:30-16:00

报告地点：腾讯会议 148 714 226

报告摘要：Weakly increasing tree is a new kind of multiset-labeled tree introduced in a recent work of Lin-Ma-Ma-Zhou, which naturally unifies the classical concepts of plane trees and increasing trees on the set {0,1,...,n}. In this talk, we introduce two bijections defined on weakly increasing trees. The first map has its roots in a bijection on plane trees due to Deutsch. The second map is a closely related variant and turns out to be an involution. This involution amounts to give a combinatorial proof of certain equidistribution result for a quadruple of tree statistics over weakly increasing trees defined on any multiset M, extending a previous result of Lin-Ma-Ma-Zhou. This is joint work with Xiang Chen.

报告人简介：傅士硕，2011年博士毕业于宾夕法尼亚洲州立大学，2011-2012在韩国科学技术院（KAIST）做博士后研究，现任职重庆大学“百人计划”研究员。研究兴趣主要为组合数学中的整数分拆理论、排列统计量同分布问题以及组合序列的伽马非负性等。已在J. Combin. Theory Ser. A, Adv. Appl. Math., SIAM Disc. Math., European J. Combin., Ramanujan J.等杂志发表论文20余篇，多次受邀参加国际国内学术会议并作邀请报告，主持国家自然科学基金青年项目一项。现任中国工业与应用数学学会图论组合及应用专业委员会副秘书长、中国运筹学会图论组合学分会理事。