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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Algebraic topology of digraphs and its applications
有向图 代数拓扑 图论
2023/11/15
High-order interaction occurs in various complex network, such as social network, bionetwork and network medicine. Comparing with that there are a lot of well-developed math tools (from graph theory) ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Purity and torsors over Prüfer bases
纯度 扭转器 普吕弗底座
2023/4/21
In algebraic geometry, purity refers to a diverse range of phenomena in which certain invariants or categories associated to geometric objects are insensitive to the removal of closed subsets of large...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Purity and torsors over Prüfer bases
纯度 扭转器 普吕弗底座
2023/4/23
In algebraic geometry, purity refers to a diverse range of phenomena in which certain invariants or categories associated to geometric objects are insensitive to the removal of closed subsets of large...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Turán number of theta graphs
θ图 图兰数 图论
2023/4/26
Turán-type problem may be one of central problems in extremal graph theory. Particularly, the Turán number of a cycle attracts much attention. In this talk, we introduce a terminology, that is, theta ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An introduction to the Hypergraph Regularity Lemma and its Applications 3
超图 规律性引理 超图正则引理 汉密尔顿循环
2023/4/26
In this talk, we give an example to illustrate how to use the hypergraph regularity lemmas. The absorbing method due to R?dl, Schacht and Szemerédi is a powerful tool in proving hypergraph Hamilton cy...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An introduction to the Hypergraph Regularity Lemma and its Applications 2
超图 规律性引理 超图正则引理 汉密尔顿循环
2023/4/26
In this talk, we first introduce the definitions of equitable partitions and state the hypergraph regularity lemma due to R?dl and Schacht. Then, we give the conception of reduced hypergraphs and its ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An introduction to the Hypergraph Regularity Lemma and its Applications 1
超图 规律性引理 超图正则引理 汉密尔顿循环
2023/4/26
Hypergraph regularity lemmas are generalizations of Szemerédi's regularity lemma for graphs, which has been proved to be a powerful tool with many subsequent. In this talk, we first give a brief intro...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Maximum cuts in 3-uniform hypergraphs with sparse neighbourhoods
稀疏邻域 均匀超图 最大切口
2023/4/27
A cut of a hypergraph is a partition of its vertex set into two parts, and the size of the cut is the number of edges which have nonempty intersection with each of the two parts. A classical result of...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Symmetry in Cayley graphs
凯莱图 对称性 图论
2023/4/27
Cayley graphs form an important class of vertex-transitive graphs, which have been the object of study for many decades. These graphs admit a group of automorphisms that acts regularly (sharply-transi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Perfect Matchings in hypergraphs
超图 完美匹配 图论
2023/4/27
Matchings are fundamental objects in the study of graph theory. Unlike in graphs, finding maximum matchings in general hypergraphs is NP-hard -- its decision problem is actually one of the Karp’s 21 N...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Proper orientations and proper orientation number
正确取向数 MAD（G） 图论
2023/4/27
The proper orientation number \Vec{\chi}(G) of a graph G is the minimum k such that there exists an orientation of the edges of G with all vertex-outdegrees at most k and such that for any adjacent ve...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Extremal results on 4-cycles
4 个周期 极值结果 图兰型问题
2023/4/28
The study of the 4-cycle has an important enlightening effect on the development of Turan type problems, especially the degenerate cases. In this talk, we focus on two conjectures about 4-cycles: a co...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：erration split-plot designs via complementary sets when the whole plot factors are important
图因子 互补集 错误分割图设计
2023/5/15
In practice, fractional factorial split-plot (FFSP) designs are widely used when the levels of some factors are very difficult to change or control. The factors of an FFSP design are divided into two ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Birkhoff genericity for points on curves in expanding horospheres and Diophantine applications
星座图 曲线 Birkhoff泛型 丢番图应用
2023/5/16
Let $\{a(t):t \in \mathbb{R}\}$ be a diagonalizable subgroup of $SL(d,\mathbb{R})$ for which the expanded horosphere $U$ is abelian. By the Birkhoff ergodic theorem, for any point $x \in SL(d,\mathbb{...
国家天元数学西北中心图论与组合算法前沿论坛圆满落幕（图）
图论 组合算法 前沿论坛 国家天元数学西北中心
2023/1/3
2022年10月15日至16日，由国家天元数学西北中心主办、新疆大学数学与系统科学学院承办的“图论与组合算法沿论坛”在线上成功举行。来自清华大学、中国科学技术大学、南京大学、西安交通大学、厦门大学、兰州大学、华中师范大学、郑州大学等高校的20位报告人和300余位学者参加了论坛。