Tootfinder

Connected forcing density and related problems
Boris Brimkov, Randy Davila, Houston Schuerger
https://arxiv.org/abs/2507.11194 https://

Connected forcing density and related problems
A connected forcing set of a graph is a zero forcing set that induces a connected subgraph. In this paper, we introduce and study CF-dense graphs -- graphs in which every vertex belongs to some minimum connected forcing set. We identify several CF-dense graph families and investigate the relationships between CF-density and analogous notions in zero forcing and total forcing. We also characterize CF-dense trees and give a formula for the number of distinct connected forcing sets in trees. Final…

Solving Random Planted CSPs below the $n^{k/2}$ Threshold
Arpon Basu, Jun-Ting Hsieh, Andrew D. Lin, Peter Manohar
https://arxiv.org/abs/2507.10833 https:/…

Solving Random Planted CSPs below the $n^{k/2}$ Threshold
We present a family of algorithms to solve random planted instances of any $k$-ary Boolean constraint satisfaction problem (CSP). A randomly planted instance of a Boolean CSP is generated by (1) choosing an arbitrary planted assignment $x^*$, and then (2) sampling constraints from a particular "planting distribution" designed so that $x^*$ will satisfy every constraint. Given an $n$ variable instance of a $k$-ary Boolean CSP with $m$ constraints, our algorithm runs in time $n^{O(\ell)}$ for a c…

I have a bad habit of taking people at their word when they say they want constructive criticism.
Yeah, that usually doesn't work out well for me. 😂
It's taken 41 years but I think I'm finally starting to get it...this is something we say but don't really mean.
Wish I'd learned that one a long time ago. 😭

On Universal Deformations of Compressible Cauchy Elastic Solids Reinforced by Inextensible Fibers
Arash Yavari
https://arxiv.org/abs/2506.11203 https://

On Universal Deformations of Compressible Cauchy Elastic Solids Reinforced by Inextensible Fibers
Universal deformations are those that can be maintained in the absence of body forces and by applying only boundary tractions, for all materials within a given constitutive class. We study the universal deformations of compressible isotropic Cauchy elastic solids reinforced by a single family of inextensible fibers. We consider straight fibers parallel to the Cartesian Z-axis in the reference configuration and derive the universality constraints. The principal invariants of the right Cauchy-Gre…

Being young in Germany is when government construction plans are so far ahead that you can’t even imagine yourself by then.
Middle age is when you think you might still see the final thing.
Being old is when you know you’d be dead by then.
#germany

Just received a friend request on Facebook by someone named Peter Waldmeier.
https://www.facebook.com/peter.waldmeier.865
He seemed such a nice person, I think he is a model in a Scandinavian country.
When I asked him why he was sending me a friend request he go…

#LuluSantos nunca foi conhecido como um grande letrista, mas "eu te amo calado como quem ouve uma sinfonia" é de fato um verso belíssimo.
https://youtu.be/zmDOuaCJQYw

In the final talk of the morning sessions of the #SolarEclipse Conference Thoby Dittrich talked about the Modern Eddington Experiment (the website https://moderneddingtonexperiment.org is under heavy construction): the best observing result of gravitational deflection of starlight by the Sun in the optical during solar eclipses is still Brun's from 2017 - https://arxiv.org/abs/1802.00343 - while others have tried with a vengeance since. The goal remains to observe the significant deflection of star positions between 1 and 2 solar radii from the center of the Sun: this is known as the 'forbidden zone' because the corona can be very bright here and only bright stars can be measured reliably - but those in turn are rare. It turns out that the star fields around the totally eclipsed Sun in 2027 and 2028 will be unusually rich in good candidates so there is (or should be) considerable interest in the physics didactics community to make use of these eclipses in southern Spain / northern Africa and Australia, respectively. 4/n

On the Yamazaki-Hori solution of the Ernst equation
A. Melikyan
https://arxiv.org/abs/2507.11215 https://arxiv.org/pdf/2507.11215

On the Yamazaki-Hori solution of the Ernst equation
A family of solutions to the Ernst equation is presented, which, in a certain limit, recovers the Yamazaki-Hori solution - an extension of the Tomimatsu-Sato solutions for all integer values of the deformation parameter $δ$. Our solution also recovers, as a special case, the formulation given by Vein, which is equivalent to the Yamazaki-Hori solution. Furthermore, our construction establishes a connection to a nonlinear differential equation proposed by Cosgrove, which is also associated with …

Automatic Generation of Explicit Quadratic Programming Solvers
Maximilian Schaller, Daniel Arnstr\"om, Alberto Bemporad, Stephen Boyd
https://arxiv.org/abs/2506.11513

Automatic Generation of Explicit Quadratic Programming Solvers
We consider a family of convex quadratic programs in which the coefficients of the linear objective term and the righthand side of the constraints are affine functions of a parameter. It is well known that the solution of such a parametrized quadratic program is a piecewise affine function of the parameter. The number of (polyhedral) regions in the solution map can grow exponentially in problem size, but when the number of regions is moderate, a so-called explicit solver is practical. Such a so…