Adjacent pairs (Possible): what nobody has asked yet

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select id, a_kind, substr(a_label,1,120) a, b_kind, substr(b_label,1,120) b, bridge, distance, novelty, status from adjacent_pair where status<>'withdrawn' order by random() limit 50

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ida_kindab_kindbbridgedistancenoveltystatus
ap-d50be9dde2 problem What are the astrophysical formation channels behind the binary black hole mergers observed through gravitational waves problem Existence of gravitational waves (1916–2016): On 11 February 2016, the Advanced LIGO team announced that they had direct binary black adjacent-field novel unasked
ap-e552bfd7ca problem Efficiently computable function as a counter-example to Sarnak's Mobius conjecture. Recently, Gil Kalai and Dick Lipton method reinforcement learning   same-field unknown unasked
ap-efe1fd8a70 claim The drop of Accuracy@1 from 61.3% (N=2) to 31.1% (N=5) in Table 3 indicates that the LLM judge lacks global discriminati method meta-analysis   same-field unknown unasked
ap-5a7fd60260 problem Complexity of computing shortest paths in the plane with polygonal obstacles. Suppose we are given several disjoint simp problem Is it still not known whether the construction of shortest nonzero vector of a lattice w.r.t. $l^2$-norm is NP-hard? It complexity computing adjacent-field novel unasked
ap-8b85c585a1 problem A combinatorial version for the polynomial Hirsch conjecture. Consider $t$ disjoint families of subsets of {1,2,…,n}, ${ problem A variant of Freiling's Axiom of Symmetry and a weak form of the Continuum Hypothesis in models where all sets of reals families subsets adjacent-field novel unasked
ap-7ba9c011fd problem p-nuclei : What astrophysical process is responsible for the nucleogenesis of these rare isotopes? problem p-nuclei : What astrophysical process is responsible for the nucleogenesis of these rare isotopes? responsible nucleogenesis adjacent-field duplicate unasked
ap-b2359b7889 problem How do star-forming structures form from the diffuse interstellar medium ? How do these structures interact with the ISM problem Diffuse interstellar bands : What is responsible for the numerous interstellar absorption lines detected in astronomical diffuse interstellar adjacent-field novel unasked
ap-21a72db6eb problem Is optimally solving the n×n×n Rubik's Cube NP-hard? Consider the obvious $n\times n\times n$ generalization of the Rubi problem Covering the primes by arithmetic progressions. Define the length of a set of arithmetic progressions of natural numbers shortest sequence adjacent-field novel unasked
ap-560f61d204 problem Origin of Eukaryotes ( Symbiogenesis ). How and why did cells combine to form the eukaryotic cell? Did one or more rando method transformer sequence model   far neighborhood unasked
ap-2bb5ca96b2 problem Finding a prime greater than a given bound. Is a deterministic polynomial-time algorithm known for the following problem problem What is the state of research on finding all prime knots with 17 crossings? In this 1998 journal paper , all the prime k finding prime adjacent-field novel unasked
ap-8785ce425e problem When does the converse to Schur's Lemma hold? Let $R$ be a commutative ring, let $A$ be an $R$-algebra, and let $M$ be a method LLM-driven proof search   adjacent-field unknown unasked
ap-fd1409b339 problem Can $N^2$ have only digits 0 and 1, other than $N=10^k$? Pablo Solis asked this at a recent 20 questions seminar at Berk method LLM-driven proof search   adjacent-field unknown unasked
ap-b2d9526e46 problem Convex hull in CAT(0). Let $X$ be complete $\mathop{CAT}(0)$ -space and $K\subset X$ be a compact subset. Is it true tha method LLM-driven proof search   adjacent-field unknown unasked
ap-40ec421236 problem Biosynthesis : Can desired molecules, natural products or otherwise, be produced in high yield through biosynthetic path problem Biosynthesis : Can desired molecules, natural products or otherwise, be produced in high yield through biosynthetic path through biosynthetic adjacent-field duplicate unasked
ap-5e8b16cdf2 problem A long-lasting conjecture of Pólya & Szegő. There is a conjecture by Pólya & Szegő (~1950, stated in p. 159 of their boo method LLM-driven proof search   adjacent-field unknown unasked
ap-0803319965 problem Vertiginous question : Why is it that a specific subject of experience is "live" from a given perspective? method preregistered replication   far novel unasked
ap-21077438c6 problem A simple group with 3 generators. All finite simple groups are generated by two elements, though apparently the proof is method spectral graph theory   same-field unknown unasked
ap-8b02dabeaa problem Why is the magnetic reconnection effect many orders of magnitude faster than predicted by standard models? problem Coronal heating problem : Why is the Sun's corona (atmosphere layer) so much hotter than the Sun's surface? Why is the m magnetic reconnection adjacent-field duplicate unasked
ap-f92dd59125 problem The lipid divide : How did archaea end up using membrane glycerophospholipids of the opposite chirality compared to bact method transformer sequence model   far novel unasked
ap-99d0083d44 problem Supernova : What is the mechanism by which an implosion of a dying star becomes an explosion ? What are the progenitors problem Supernovae : What is the exact mechanism by which an implosion of a dying star becomes an explosion? becomes explosion adjacent-field duplicate unasked
ap-d76e76edae problem Cosmological constant problem : Why does the zero-point energy of the vacuum not cause a large cosmological constant ? [ problem Cosmological constant problem : Why does the zero-point energy of the vacuum not cause a large cosmological constant ? W cosmological constant adjacent-field duplicate unasked
ap-4acfd01f70 problem $\Delta = 57, d=2$ Moore Graph. I am looking into the last open question regarding the existence of Moore Graphs of diam problem The Oberwolfach problem on which 2-regular graphs have the property that a complete graph on the same number of vertices regular graphs adjacent-field novel unasked
ap-85e59b206b problem What impact would P!=NP have on the characterization of BQP? Many complexity theorists assume that $P\ne NP.$ If this is problem Temperature: Can quantum computing be performed at non-cryogenic temperatures? Can we build room temperature quantum com quantum computing adjacent-field novel unasked
ap-61465d07c3 problem Development and evolution of the brain . How and why did the brain evolve? What are the molecular determinants of indivi method large-scale text mining of the literature   far novel unasked
ap-cdc21621af claim The drop of Accuracy@1 from 61.3% (N=2) to 31.1% (N=5) in Table 3 indicates that the LLM judge lacks global discriminati method noisy-judge tournament model   same-field unknown unasked
ap-2c06a5f464 problem For which graphs $G_1,G_2$ is it true that for every $n\geq 1$ there is a graph $H$ without a $G_1$ but if the edges of problem Exploding number of homomorphisms. I'm trying to tackle the following problem: given two graphs $A$ and $B$ , if there e graphs graph adjacent-field novel unasked
ap-d8b0be67b1 problem Is the ratio Perimeter/Area for a finite union of unit squares at most 4? Update: As I have just learned, this is called method spectral graph theory   same-field unknown unasked
ap-e8a3a2fc0f problem Polynomial bijection from $\mathbb Q\times\mathbb Q$ to $\mathbb Q$? Is there any polynomial $f(x,y)\in{\mathbb Q}[x,y]{ method evolutionary search   adjacent-field unknown unasked
ap-1c5a1668d4 problem Difficult examples for Frankl's union-closed conjecture. Frankl's well-known union-closed conjecture states that if F is method spectral graph theory   same-field unknown unasked
ap-f74f09915d problem Generalized star-height problem : Can all regular languages be expressed using generalized regular expressions with a li problem Generalized star height problem : can all regular languages be expressed using generalized regular expressions with limi limited nesting adjacent-field duplicate unasked
ap-a99f5ec0c2 problem Optimal algorithm for finding the girth of a sparse graph? I wonder how to find the girth of a sparse undirected graph. problem Hilbert's sixteenth problem : what are the possible configurations of the connected components of M-curves ? connected components adjacent-field novel unasked
ap-7c1e52b947 problem Finite-dimensional subalgebras of $C^\star$-algebras. Let $A$ be a unital $C^\star$-algebra and let $a_1,\dots,a_n$ be a method evolutionary search   adjacent-field unknown unasked
ap-e954cf5b4e problem What are the astrophysical formation channels behind the binary black hole mergers observed through gravitational waves problem Numerical solution for binary black hole (1960s–2005): The numerical solution of the two body problem in general relativ binary black adjacent-field novel unasked
ap-9009a8d713 problem The "Smallest" open Diophantine Equation, a potential approach. In this question, Bogdan Grechuk found the "Smallest" op method interactive theorem proving benchmark   adjacent-field novel answered
ap-e49d5d853a problem Decidability of equality of elementary expressions. In the following definition the term expression is to be understood method Lean formalization   same-field unknown unasked
ap-f6567ec188 problem Is it possible to dissect a disk into congruent pieces, so that a neighborhood of the origin is contained within a singl method spectral graph theory   same-field unknown unasked
ap-428bed0cb9 problem Why do polynomials with coefficients $0,1$ like to have only factors with $0,1$ coefficients? Conjecture. Let $P(x),Q(x) method spectral graph theory   same-field unknown unasked
ap-617db2ff8f problem Conjecture 1.3 (Caro ): Let $F$ be a forest with $m$ edges. Then $R(tF,\mathbb{Z}_{mt})=R(tF,2)$ for all sufficiently la method evolutionary search   adjacent-field novel unasked
ap-2fda98dcbc problem Why do we have the number of tropical cyclones that we do? [ 10 ] method large-scale text mining of the literature   far novel unasked
ap-cae1d0a41b problem Snowball Earth : what was the effect of Cryogenian glaciations on the origin and evolution of early animals? problem What is the long-term heat balance of Earth? How did its internal temperature decay since it formed by accretion of chon snowball earth adjacent-field novel unasked
ap-b13aab4679 problem Grid $k$-coloring without monochromatic rectangles. Update : The obstruction set (i.e. the NxM "barrier" between colorab problem Is the square achievement game on the $n × n$ grid resolved for $6 \le n \le 14$? In the square achievement game , two p four cells adjacent-field novel answered
ap-6a0a9e41f5 problem For which $n$ are there $n$ points in $\mathbb{R}^2$, no three on a line and no four on a circle, which determine $n-1$ problem Hipparcos anomaly (1997 [ 154 ] –2012): The High Precision Parallax Collecting Satellite (Hipparcos) measured the parall distances distance adjacent-field novel unasked
ap-892a7472eb problem Milnor's cartography problem. Let $\Omega$ be a round disc of radius $\alpha<\frac{\pi}{2}$ on the unit sphere $\mathbb{ method LLM-driven proof search   adjacent-field unknown unasked
ap-a0ee93cfa9 problem Is there a complex structure on the 6-sphere? I don't know who first asked this question, but it's a question that I thi method evolutionary search   adjacent-field unknown unasked
ap-e0bd030496 problem RNA folding problem: Is it possible to accurately predict the secondary, tertiary and quaternary structure of a polyribo problem RNA folding problem: Is it possible to accurately predict the secondary, tertiary and quaternary structure of a polyribo sequence environment adjacent-field duplicate unasked
ap-dcb3f60f17 problem Why do we have the number of tropical cyclones that we do? [ 10 ] method meta-analysis   far novel unasked
ap-7dd7bad52f problem How hard is unshuffling a string? A shuffle of two strings is formed by interspersing the characters into a new string, method reinforcement learning   same-field unknown unasked
ap-3c23fbee10 problem Learning and memory : Where do our memories get stored and how are they retrieved again? How can learning be improved? W problem Learning and memory : Where do our memories get stored and how are they retrieved again? retrieved again adjacent-field duplicate unasked
ap-785a664dac problem Gilbert–Pollak conjecture : Is the Steiner ratio of the Euclidean plane equal to 2 / 3 {\displaystyle 2/{\sqrt {3}}} ? problem Gilbert–Pollak conjecture on the Steiner ratio of the Euclidean plane that the Steiner ratio is 3 / 2 {\displaystyle {\s euclidean plane adjacent-field duplicate unasked
ap-3ff9929b93 problem The exchange rate disconnect puzzle : The exchange rate disconnect puzzle, also one of the so-called real exchange rate method single-cell sequencing reanalysis   far novel unasked