-
16
2026/03
Unimodality properties of independence polynomials
Motivated by the conjecture of Alavi, Malde, Schwenk and Erdos,there are families of graphs, whose independence polynomials is unimodal, and furthermore is real-rooted. For example, Chudnovsky and Seymour obtained that the independence polynomial of all claw-free graphs has only real roots. Then it is natural to construct graphs with claw having real-rooted independence polynomials. In this paper, following the idea of Zhu et al., we introduce infinite graphs based on the rooted-product, whose independence polynomials have only real roots. Our results not only make progress on the conjecture of Alavi, Malde, Schwenk and Erdos, but also generalize Zhu et al.'s results.
-
14
2026/03
中国话语下的学术论文写作
中国话语下的学术论文写作。
-
16
2026/03
法律文书写作规范与质量提升
一、法律文书写作的意义和价值二、法律文书写作规范三、如何提升法律文书写作质量
-
13
2026/03
家政学院人才招聘暨青年学者论坛
李勇(南开大学):《从感知到行为——旅游场景中游客体验评价与需求波动研究》杨静静(首都师范大学):《创造性思维中新想法与旧知识相互作用的认知神经机制》王博林(陕西师范大学):《中国五大国家文化公园多维空间关系治理》武笑玺(北京工商大学):《短视频叙事对用户参与行为的影响研究》李嘉琦(山东大学):《提升教育成效——基于不同主体的视角》郭嘉欣(南开大学):《乡村居民旅游创业嵌入策略的演变过程及机制研究》
-
15
2026/03
银河系中心超大质量黑洞Sgr A*的曾经伴侣黑洞的“考古”发现
观测表明,几乎所有星系中心都存在着超大质量黑洞。根据冷暗物质宇宙学,正常星系由较小星系之间不断并合等级增长形成。Gaia卫星和LAMOST等大型地面望远镜对银河系恒星星族的研究表明,银河系在历史上曾并合过9到10个矮星系。星系的并合必然导致原各自中心的超大质量黑洞在并合后的星系中形成超大质量双黑洞。传统上认为,从观测上发现和研究这些正常星系中电磁静宁的超大质量双黑洞几乎是不可能的。在这个报告中,我将介绍我和我领导的团队从理论上开创性提出的、目前已被国际同行普遍接受的、利用超大质量黑洞潮汐撕裂恒星事件探测超大质量双黑洞的方法,以及我们通过该方法发现正常星系中第一对超大质量双黑洞的工作。银河系中心超大质量SgrA*目前处于单身状态,但我们最近通过建模对银河系中心弹出的、目前在银晕中向河外疯狂逃逸的超高速恒星的“考古”分析研究发现,银河系中心黑洞SgrA*在几千万年到几亿年前曾经存在过一个质量大约1.5万倍太阳质量的中等质量伴侣黑洞。在大约一千万年前两个超大质量黑洞并合形成当前的SgrA*黑洞。我们推测,该中等质量黑洞很有可能来自于一个在100亿年前被银河系吞噬的、被称为“盖亚-香肠-恩克拉多斯”(GSE)的矮星系。超大质量双黑洞的存在还同时回答了有关银河系中心的其它长期困惑天文学家们的谜团。该“考古”成果入选国际天文核心期刊杂志(ApJL、ApJ、ApJS、AJ、EPS)2025年度十大亮点成果、2015年至2025年十年亮点成果。
-
13
2026/03
河北省马克思主义学会2026年年会暨“马克思主义学院高质量发展”学术研讨会
1.“马克思主义学院高质量发展”学术研讨2.学会换届
-
12
2026/03
On automorphism groups of power semigroups over numerical semigroups
A numerical semigroup $S$ is a cofinite subsemigroup of $ \mathbb{N}$, where $\mathbb{N}$ is the additive monoid of non-negative integers. Denote by $\mathcal{P}_{\rm fin} (S)$ the semigroup consisting of all non-empty finite subsets of $S$ endowed with the operation of setwise addition defined by $$X+Y=\{x+y:x\in X, y\in Y\}, \qquad\text{for all } X, Y \in \mathcal P_\text{fin}(S).$$We call $\mathcal{P}_{\rm fin} (S)$ the finitary power semigroup of $S$. When $0\in S$ (and hence $S$ is a numerical monoid), the family $\mathcal P_{\text{fin},0}(S)$ of all finite subsets of $S$ containing $0$ is a submonoind of $\mathcal P_\text{fin}(S)$, whose identity element is the singleton $\{0\}$; we call $\mathcal{P}_{{\rm fin}, 0}(S)$ the reduced finitary power monoid of $S$.Tringali and Yan have recently proved in [Tringali and Yan, JCTA, 2025] that the only non-trivial automorphism of $\mathcal{P}_{{\rm fin},0}(\mathbb{N})$ is the involution $X \mapsto \max X - X$. In this talk, we show how Tringali and Yan's result can be used to determine the automorphism group of the finitary power semigroup of an arbitrary numerical semigroup $S$. More precisely, if $S$ is the set of all integers larger than or equal to a fixed $k \in \mathbb N$, then the only non-trivial automorphism of $\mathcal{P}_{\rm fin}(S)$ is the involution $X \mapsto \max X - X+ \min X$; otherwise, $\mathcal{P}_{\rm fin}(S)$ has only the trivial automorphism.
-
12
2026/03
河北师范大学校友“求真”讲坛(一) 中长期国民经济和社会发展规划的制定及其战略意义
一、制定中长期规划指导经济社会发展是中国共产党的优良传统二、制定中长期规划彰显全过程人民民主的制度优势三、“十五五”规划为基本实现社会主义现代化奠定更加坚实基础
-
11
2026/03
Irreducible operators in von Neumann algebras
Let M be a separable von Neumann algebra with center Z(M). An operator T in M is called irreducible if W*(T)'\cap M=Z(M). In this talk, we present three theorems: (1) The set of irreducible operators in M is norm-dense; (2) every operator in M is the sum of two irreducible operators; (3) every nonzero operator in M is the product of two irreducible operators if M is a factor.
-
11
2026/03
Operators with disconnected spectrum in von Neumann algebras
Let $\mathcal{M}$ be a von Neumann algebra, $\mathcal{I}$ a weak-operator dense ideal in $\mathcal{M}$, and Φ a unitarily invariant ∥ · ∥-dominating norm on $\mathcal{I}$. In this talk, we provide a necessary and sufficient condition on Φ such that every operator in $\mathcal{M}$ can be expressed as the sum of an operator in $\mathcal{M}$ with disconnected spectrum and an operator in $\mathcal{I}$ whose Φ-norm is arbitrarily small. Similarly, if $\mathcal{A}$ is a unital $C^∗$-algebra of real rank zero with dimension greater than one and $\mathcal{I}$ is an essential ideal in $\mathcal{A}$, then every element in $\mathcal{A}$ can be written as the sum of an operator in $\mathcal{A}$ with disconnected spectrum and an operator in $\mathcal{I}$ whose norm is arbitrarily small.


