Tootfinder

Want to learn more about artist Rachel Hayes' huge, colorful textile creations? Watch her artist's talk here: #RachelHayes

Improper coloring of toroidal graphs
Alexandra Kola\v{c}kovsk\'a, M\'aria Macekov\'a, Roman Sot\'ak, Diana \v{S}vecov\'a
https://arxiv.org/abs/2509.15870 htt…

Improper coloring of toroidal graphs
A graph $G$ is called $(d_1,\dots,d_k)$-colorable if its vertices can be partitioned into $k$ sets $V_1,\dots,V_k$ such that $Δ(\langle V_i\rangle_G)\leq d_i, i\in \{1,\dots, k\}$. If $d_1 = \dots = d_k = m$ we say that $G$ is $k$-colorable with defect $m$. A coloring with at least one $d_i, i\in \{1,\dots, k\}$, greater than $0$ is called an improper coloring. It is known that toroidal graphs are properly $7$-colorable, therefore they are $7$-colorable with defect $0$. It was also proved that…

NERDS at #ic2s2 😍

Polarization-Resolved Chlorophyll Imaging for Non-Invasive Plant Tissue Assessment Using a Silicon-Rich Nitride Metalens Array
Alireza Khalilian, Mehdi Sh. Yeganeh, Konstantin Tsoi, Bowen Yu, Joe Lo, Yasha Yi
https://arxiv.org/abs/2508.14191

Polarization-Resolved Chlorophyll Imaging for Non-Invasive Plant Tissue Assessment Using a Silicon-Rich Nitride Metalens Array
Polarization-sensitive imaging enhances contrast and reveals structural features in biological tissues that are often missed by intensity-based methods, but its adoption is limited by bulky optics. We present a compact silicon-rich nitride (SRN) metalens array for high-resolution, polarization-resolved imaging of plant tissue at the chlorophyll absorption peak (660\,nm). The array integrates orthogonally sensitive metalenses to simultaneously capture X- and Y-linearly polarized transmission ima…

I think I need to clarify some shit for (white) liberals.
How many times have you wondered if someone you're talking to in an informant sent to entrap you? How many times have you or a friend of yours been hit by a car, intentionally? How many friends have been hit, or almost hit? Ever been stabbed? Know anyone who has? Has the FBI ever knocked on a friend's door? Have police ever kicked down your door? Have you ever been arrested? Pepper sprayed? Does the sound or smell or blast balls give you flashbacks? Do you ever wonder what all the CS exposure is doing to your body? How many times have you been shot or shot at? Do you wonder every day if this is the day they'll come to kill you? Would anyone in your social circle answer these questions differently?
When you vote, you risk nothing (big asterisk, but if I'm talking to you then it doesn't apply to you). What you get out of voting is exactly what you put into it. Direct action is the same.
If you aren't worried about someone murdering you, then you probably aren't actually threatening the system. That's the difference between voting, and doing something useful. If they had to murder all the liberals in order to keep going, fascism would end. If they're only murdering radicals and marginalized people, then you're just like all the "good Germans" who hated Hitler but did essentially nothing.
It's already that bad for some people. How much are you willing to risk? How many people are you willing to sacrifice for your comfort? These are the questions we're all thinking about every time you tell us to vote.
(I'm tagging this #USPol so it's easy for folks to filter out if they're already well acquaintaned with the horror. I'm not CW, because USPol is just expected to be triggering.)

As someone who is partially colorblind, there isn’t enough contrast in jerseys between Man City and Al Ain. #MCIAIN #ClubWorldCup #fedifc

"Further, outdated rules on the use of cookies and other tracking technologies are still governing the protection of the user’s terminal equipment and the access and collection to information from user’s terminal equipment. This requires pragmatic and immediate clarifications to limit consent fatigue, provide legal clarity on rightful access and processing, and enhanced data availability to businesses."
My fatigue stems more from politics leaving their citizens alone...

Van in voedsel tot via de lucht: hoe (een in de EU sinds 2020 verboden) #pesticide langdurige hersenschade bij kinderen veroorzaakt na blootstelling tijdens zwangerschap https://share.google/jINLtgiyYqx2dPD1x

Colorful circuits and colorful topes in oriented matroids
Minho Cho, Seunghun Lee, Fr\'ed\'eric Meunier
https://arxiv.org/abs/2509.13718 https://ar…

Colorful circuits and colorful topes in oriented matroids
We provide a short proof of a conic version of the colorful Carathéodory theorem for oriented matroids. Holmsen's extension of the colorful Carathéodory theorem to oriented matroids (Advances in Mathematics, 2016) already encompasses several generalizations of the original result, but not its conic version. Our approach relies on a common generalization of Sperner's lemma and Meshulam's lemma - two closely related results from combinatorial topology that have found a number of applications in…

Strongly Set-Colorable Graphs: A Complete Characterization
Kumar Abhishek
https://arxiv.org/abs/2508.13210 https://arxiv.org/pdf/2508.13210

Strongly Set-Colorable Graphs: A Complete Characterization
In this note, we revisit the notion of strong set-colorings introduced by Hegde (2009) and completed by equivalences due to Boutin et al. (2010) and provide a necessary and sufficient \emph{Steiner packing} characterisation: a finite graph $G$ is strongly set-colorable if and only if its associated $3$-uniform hypergraph is a $(2,3,2^{n}-1)$-packing of the unique Steiner triple system $S(2,3,2^{n}-1)$. This unification allows many earlier necessary conditions to be derived instantly as corollar…