Tootfinder

On the edge reconstruction of the second immanantal polynomials of undirected graph and digraph
Tingzeng Wu
https://arxiv.org/abs/2507.14607 https://

On the edge reconstruction of the second immanantal polynomials of undirected graph and digraph
Let $M=(m_{ij})$ be an $n\times n$ matrix. The second immanant of matrix $M$ is defined by \begin{eqnarray*} d_{2}(M)=\sum_{σ\in S_{n}}χ_{2}(σ)\prod_{s=1}^{n}m_{sσ(s)}, \end{eqnarray*} where $χ_{2}$ is the irreducible character of $S_{n}$ corresponding to the partition $(2^{1},1^{n-2})$. The polynomial $d_{2}(xI-M)$ is called the second immanantal polynomial of matrix $M$. Denote by $D(G)$ (resp. $D(\overrightarrow{G})$) and $A(G)$ (resp. $A(\overrightarrow{G})$) the diagonal matrix of ver…

„Innovativer Ansatz, der zwingend notwendig ist“ 🤮
https://ard.social/@tagesschau/114897121677584643

The US Secret Service says it has dismantled 300 SIM card servers in the NYC area that could have disrupted communications ahead of the UN General Assembly (Myles Miller/Bloomberg)
https://www.bloomberg.com/news/articles/2025-0…

Samstägliches Dinge reparieren.
In die Haarbürste (Tangle Teezer) ist Flüssigkeit gekommen und begann zu schimmeln. Ließ sich recht unkompliziert auseinandernehmen, reinigen, trocken und wieder zusammensetzen.
Staubsaugerfilter musste wieder einmal gereinigt werden. Dabei oder davor ist eine Radaufhängung erneut gebrochen. Die zu kleben war aufwändig. Auch weil ich keine Ahnung habe, wie man das macht und keine Energie zu recherchieren. Habe es mit UV-Harz gelöst.

Wenn Parteien anfangen, Firmen zu planen, verschwimmt die Grenze zwischen Gemeinwohlauftrag und Geschäftsmodell. Julia Klöckner & Co. zeigten 2020 im Projekt mit Frank Gotthardt, wie Politik und Wirtschaft ineinanderfließen können – zulasten von Vertrauen und Transparenz.
Michael Bröcker, #Table.Media #CDUApp

US governments' stupidity never ceases to amaze: "Trump officials reportedly set to tie Tylenol to autism risk (contrary to medical guidelines)".
https://www.theguardian.com/us-news/2025/sep/21/trump-officials-tylenol-autism

Niedersachsens Innenministerin: Polizei-Software von Palantir nicht beherrschbar
Palantir soll durch Analyse großer Datenmengen Polizeiarbeit erleichtern. Niedersachsens Innenministerin lehnt Software ab und fordert eine europäische Lösung.

This? Oh, it’s just GoFundMe preventing people who are being starved by Israel in Gaza from raising money to buy food to live.
The scale of this inhumanity and injustice will haunt us forever. https://mastodon.social/@daliamohisen/115060399174567486

Dalia Mohisen (@daliamohisen@mastodon.social)
Attached: 2 images I just received news that crushed me on top of everything I’m already enduring. An email was sent to my cousin the one who manages our campaign abroad, since we Palestinians from Gaza are not allowed to create accounts or links ourselves. He set it up for us, but unfortunately, we have received only a small amount of donations so far.

Twists, Higher Dimer Covers, and Web Duality for Grassmannian Cluster Algebras
Esther Banaian, Elise Catania, Christian Gaetz, Miranda Moore, Gregg Musiker, Kayla Wright
https://arxiv.org/abs/2507.15211

Twists, Higher Dimer Covers, and Web Duality for Grassmannian Cluster Algebras
We study a twisted version of Fraser, Lam, and Le's higher boundary measurement map, using face weights instead of edge weights, thereby providing Laurent polynomial expansions, in Plücker coordinates, for twisted web immanants for Grassmannians. In some small cases, Fraser, Lam, and Le observe a phenomenon they call "web duality'', where web immanants coincide with web invariants, and they conjecture that this duality corresponds to transposing the standard Young tableaux that index basis web…

Einige der zuletzt hier besonders häufig geteilten #News:
Niedersachsens Innenministerin: Polizei-Software von Palantir nicht beherrschbar