Ear decompositions of graphs: an unexpected tool in combinatorial commutative algebra

Người báo cáo: Ngô Việt Trung

Thời gian: 9h30, thứ 6, ngày 26/5/2023

Địa điểm: Hội trường Hoàng Tụy, Tầng 2, Nhà A6, Viện Toán học

Tóm tắt: An ear decomposition of a connected graph is a partition of the edges into a sequence of paths $L_1,...,L_r$ such that $L_1$ is a cycle and only the endpoints of $L_i$ belongs to $L_1+cdots+L_{i-1}$ for $i ge 2$. The paths $L_1,...,L_r$ are called ears. Ear decomposition has been used to characterize several important classes of graphs. We can use ear decompositions to solve a difficult problem in combinatorial commutative algebra, which investigates algebraic structures associated with combinatorial objects. The lecture will concentrate on combinatorial aspects of the solution, which should be accessible for everyone with a basic knowledge in graph theory

  Hoạt động tuần
Xuất bản mới
Đỗ Duy Hiếu, Block-pair edge community detection in bipartite networks via an adaptive spectral-modularity framework, Computational and Mathematical Organization Theory, Volume 32, article number 31 (2026)
Đoàn Thái Sơn, Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces, Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)