“The discrete period matrix admits the same canonical decomposition $Π= rac{1}{2} H + i T$ as in the smooth setting, where $H$ encodes the topological type and $T$ is purely imaginary.”

“The paper derives the graphicality of infinite sequences for double power-laws, uncovering a rich phase-diagram and pointing out the existence of five qualitatively distinct ways graphicality can be violated.”

“The paper proves that the chromatic number of $P_5$-free graphs is at most a polynomial function of the clique number.”

“BandiK employs a Multi-Armed Bandit (MAB) framework for each task, where the arms correspond to the performance of candidate auxiliary sets realized as multiple output neural networks over train-test data set splits.”

“The paper constructs 3-fold blocking sets of conjectured size, obtained as the disjoint union of three linear blocking sets of Rédei type, and they lie on the same orbit of the projectivity (x:y:z)↦(z:x:y).”

“We prove the nonexistence of $(120, 35, 10)$-difference sets, which has been an open problem for 70 years since Bruck introduced the notion of nonabelian difference sets.”

“The paper presents an edited version of the author's student works (diplomas of 2011 and 2013) with some improvements, focusing on circular TWs and stronger TWs.”

“The paper finds a partial extension of Poincaré duality theorem to hypersurfaces obtained by non-primitive Viro's combinatorial patchworking.”

“The paper determines generalised Chebyshev-like forms for the determinants of gram matrices of contravariant forms for standard modules.”

“The algorithm achieves linear time complexity when the number of colors is greater than 3.637 times the maximum degree plus 1.”

“The paper introduces skein-type identities expressing cluster variables associated with incompatible curves on a surface in terms of cluster variables corresponding to compatible arcs.”

“The paper introduces 'incremental certificate learning' to maximize work in sound linear relaxation and invoke exact piecewise-linear reasoning only when relaxations become inconclusive.”

“The paper initiates the study of these processes, state some theorems and several intriguing conjectures found by computations of the finite Markov chain.”

“The paper identifies three equilibrium phases: a mixed phase where rings interpenetrate, and two segregated phases (expanded and collapsed).”

“The paper builds examples of real space sextics with 64 and 120 totally real tritangents.”

“The paper demonstrates that a previously proposed condition for consistency does not hold and provides new characterizations and conditions.”

“The framework yields UNSAT certificates for a collection of anchored subfamilies. We also report pronounced runtime variability across configurations, including heavy-tailed behavior that currently dominates the computational effort and motivates further encoding refinements.”

“The paper introduces the term Hoffman-London to refer to graphs that are minimal in this sense (minimizing H-colorings with paths).”

“The policy was successfully deployed to see a 4.5% revenue increase during an A/B test.”

“The paper determines the exact value of $\mathrm{ex}_r(n, ext{Berge-} kP_{\ell})$ when $n$ is large enough for $k\geq 2$, $r\ge 3$, $\ell'\geq r$ and $2\ell'\geq r+7$, where $\ell'=\left\lfloorrac{\ell+1}{2} ight floor$.”

“LIMO achieves superior solution quality and faster time-to-solution on instances up to 85,900 cities compared to prior hardware annealers.”

“The paper establishes improved upper and lower bounds on γ(C_ℓ^k) for general ℓ not divisible by k. It also determines the exact value of γ(C_ℓ^k) for integers ℓ not divisible by k in a set of (natural) density at least φ(k)/k.”

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“The paper determines the maximum size of (k, ℓ)-sum-free sets and classifies extremal configurations, proving sharp Hilton-Milner type stability results.”

“The paper determines the exact rainbow number rb(G, H) where G is a multi-hubbed wheel graph W_d(s) and H = θ_{t,ℓ} represents a cycle C_t of length t with 0 ≤ ℓ ≤ t-3 chords emanating from a common vertex.”

“The paper proves that $K_0(X_{n,k})$ is canonically isomorphic to $R_{n,k}$, extending classical isomorphisms for the flag variety.”

“INTERACT-CMIL achieves consistent improvements over CNN and foundation-model (FM) baselines, with relative macro F1 gains up to 55.1% (WHO4) and 25.0% (vertical spread).”

“The article's focus is on words of length $N = 3M$ with a three-letter alphabet.”

“The algorithm solves weighted MaxCut instances with up to 1000 vertices using only 10 qubits, and numerical results indicate that it consistently outperforms the Goemans-Williamson algorithm.”

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“The authors introduce a linear programming witness for network nonlocality built from five classes of linear constraints.”

“The paper focuses on completing the enumeration of inversion sequences avoiding triples of relations.”

“The proposed approach integrates classical MARL algorithms with quantum-inspired optimization techniques, leveraging variational quantum circuits VQCs as the core structure and employing the Quantum Approximate Optimization Algorithm QAOA as a representative VQC based method for combinatorial optimization.”

“The paper proves that $χ\leq f(ω),$ where $f$ is a polynomial of degree $2j-2i-4.$”

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“The research is sourced from ArXiv.”

“The title itself is the primary information, as it describes the research focus.”

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“The research is sourced from ArXiv, indicating it's a peer-reviewed research paper.”

“The research focuses on the combinatorial explosion problem in deformable medical image registration.”

“Regular Cyclic (q+1)-Arcs in PG(3,2^m): Spectral Rigidity, Descent, and an MDS Criterion”

“The article is a survey of the orienteering problem.”

“The paper focuses on using a clustering-based variable ordering framework.”

“The paper is published on ArXiv.”

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“The article is an academic paper from ArXiv, implying a focus on theoretical foundations rather than practical applications.”

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“The study proposes a systemic pathological network model and combinatorial intervention strategies.”

“Earlier thread: Disrupting the first reported AI-orchestrated cyber espionage campaign - <a href="https://news.ycombinator.com/item?id=45918638">https://news.ycombinator.com/item?id=45918638</a> - Nov 2025 (281 comments)”