Tootfinder

Hamiltonian paths in iterated line graphs
Jan Ekstein, Zuzana Kulh\'ankov\'a
https://arxiv.org/abs/2507.22596 https://arxiv.org/pdf/2507.22596

Hamiltonian paths in iterated line graphs
For integer $n$, the $n$-iterated line graph $L^n(G)$ of an undirected graph $G$ is defined to be $L(L^{n-1}(G))$, where $L^1(G)$ is the line graph $L(G)$ of $G$. In this paper we introduce hamiltonian path index. Hamiltonian path index, denoted by $h_p(G)$, is the minimum number $n$ such that $L^n(G)$ contains a hamiltonian path. We show that hamiltonian path index of $G$ exists for any graph $G$ and we set the exact value of hamiltonian path index for trees and discuss the problem about graph…

I got myself a ticket to see @… in Berlin soon. Get them while they last.
https://mastodon.social/@publix/114935748880689345

Publix Berlin (@publix@mastodon.social)
Attached: 1 image Join us to see Meredith Whittaker, President of Signal, in conversation with Maria Exner and Matthias Spielkamp, to discuss why both perspectives - re-claiming 'digital sovereignty,' without conversations about accountability and control, and the promise of AI as salvation - threaten to send us on the wrong track, and what we must do to bring technology in line with human needs. 🎟️:https://www.publix.de/en/events/meredith-whittaker 📍 25.09.2025, 6:30 pm @Mer__edith…

Optical Emission-Line Properties of eROSITA-selected SDSS-V Galaxies
Nadiia G. Pulatova, Evgenii Rubtsov, Igor V. Chilingarian, Hans-Walter Rix, Mariia Demianenko, Kirill A. Grishin, Ivan Yu. Katkov, Donald P. Schneider, Catarina Aydar, Johannes Buchner, Mara Salvato, Andrea Merloni, Anton M. Koekemoer, Roberto J. Assef, Claudio Ricci, Dominika Wylezalek, Damir Gasymov, William Nielsen Brandt, Castalia Alenka Negrete Pe\~naloza, Sean Morrison, Scott F. Anderson, Franz E. Bauer, Hector …

Optical Emission-Line Properties of eROSITA-selected SDSS-V Galaxies
We present and discuss optical emission line properties obtained from the analysis of Sloan Digital Sky Survey (SDSS) spectra for an X-ray selected sample of 3684 galaxies (0.002 < z < 0.55), drawn from the eRASS1 catalog. We modeled SDSS-V DR19 spectra using the NBursts full spectrum fitting technique with E-MILES simple stellar populations (SSP) models and emission line templates to decompose broad and narrow emission line components for correlation with X-ray properties. We place the galaxie…

🔁 Please boost! 🔁
Yo #Austria, if anyone knows someone who owns or has a way for me to get Zoë Straub – The Acoustic Sessions, I would seriously appreciate it! It was listed on eBay, and I tried to bid, but some scumbag outbid me.

Numerical Fredholm determinants for matrix-valued kernels on the real line
Erika Gallo, John Zweck, Yuri Latushkin
https://arxiv.org/abs/2507.22875 https://

Numerical Fredholm determinants for matrix-valued kernels on the real line
We analyze a numerical method for computing Fredholm determinants of trace class and Hilbert Schmidt integral operators defined in terms of matrix-valued kernels on the entire real line. With this method, the Fredholm determinant is approximated by the determinant of a matrix constructed by truncating the kernel of the operator to a finite interval and then applying a quadrature rule. Under the assumption that the kernel decays exponentially, we derive an estimate relating the Fredholm determin…

Tough Decisions Already Loom For New Raiders Regime Next Offseason https://raiderramble.com/2025/06/28/tough-decisions-already-loom-for-new-raiders-regime-next-offseason/

The calamitous Eaton and Pacific Palisades fires in Los Angeles in January show we need a new way of thinking about fire:
as not only natural disaster,
but also environmental threat with a high risk of long-term harms to health.
The ramifications of toxic contamination in large areas of Los Angeles for public safety and health are likely to be significant.
Consider the spike in both heart and lung disease reported after the 2023 Lahaina fire on Maui.
And then …

Opinion | Los Angeles Wildfires Left the City With a Toxic Mess
Urban wildfires are becoming public health emergencies.

Self-Disguise Attack: Induce the LLM to disguise itself for AIGT detection evasion
Yinghan Zhou, Juan Wen, Wanli Peng, Zhengxian Wu, Ziwei Zhang, Yiming Xue
https://arxiv.org/abs/2508.15848

Self-Disguise Attack: Induce the LLM to disguise itself for AIGT detection evasion
AI-generated text (AIGT) detection evasion aims to reduce the detection probability of AIGT, helping to identify weaknesses in detectors and enhance their effectiveness and reliability in practical applications. Although existing evasion methods perform well, they suffer from high computational costs and text quality degradation. To address these challenges, we propose Self-Disguise Attack (SDA), a novel approach that enables Large Language Models (LLM) to actively disguise its output, reducing…

I saw this blooming today downtown by the Cayuga Lake Inlet, my wife thinks it is a tree that's supposed to bloom in the Spring that's blooming in late August instead
#photo #photography #flowers