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Odd Cycle Transversal in $P_k$-Free Graphs

arXiv:2606.07453v1 Announce Type: new Abstract: The Odd Cycle Transversal (OCT) problem, which asks for a minimum subset of vertices whose removal renders a graph bipartite, is a central problem in algorithmic graph theory. It is known to be NP-complete even on $P_k$-free graphs for $k \ge 6$. Furthermore, assuming the Unique Games Conjecture (UGC), OCT does not admit a constant-factor approximation algorithm on general graphs.

arXiv CS 2d ago

Port React Compiler to Rust

[compiler] Port React Compiler to Rust#36173 This is an experimental, work-in-progress port of React Compiler to Rust. Key points: - Work-in-progress - we are sharing early, prior to testing internally at Meta, to get feedback from partners in parallel with continued development.

Hacker News 11h ago

CART: Context-Anchored Recurrent Transformer -- A Parameter-Efficient Architecture with Learned Stability

arXiv:2606.01495v2 Announce Type: replace Abstract: We present CART (Context-Anchored Recurrent Transformer), a parameter-efficient language model that reuses a single shared core block R times across depth. Unlike prior looped transformers that recompute key-value tensors at every iteration, CART computes K and V once from a multi-layer prelude and has the recurrent core cross-attend to those frozen tensors via multi-head latent attention. A learned Linear Time-Invariant (LTI) gate keeps...

arXiv CS 6d ago

CART: Context-Anchored Recurrent Transformer -- A Parameter-Efficient Architecture with Learned Stability

new Abstract: We present CART (Context-Anchored Recurrent Transformer), a parameter-efficient language model that reuses a single shared core block R times across depth. Unlike prior looped transformers that recompute key-value tensors at every iteration, CART computes K and V once from a multi-layer prelude and has the recurrent core cross-attend to those frozen tensors via multi-head latent attention. A learned Linear Time-Invariant (LTI) gate keeps the recurrence stable: its spectral...

arXiv CS 8d ago

When to Re-Plan: Subgoal Persistence in Hierarchical Latent Reasoning

arXiv:2606.03741v1 Announce Type: new Abstract: Long-horizon reasoning requires a system to commit to medium-horizon intent without becoming rigid: re-plan too often and computation never coheres into multi-step structure; commit too long and the plan goes stale. We study this stability-adaptivity tradeoff in the latent reasoning setting, where multi-step computation occurs inside hidden state rather than externalized token traces. We extend the Hierarchical Reasoning Model (HRM) with a...

arXiv CS 7d ago

Diverse binding poses of agonistic neurotoxins on human Na<sub>v</sub>1.6

Abstract Voltage-gated sodium (Nav) channels are key targets of various venomous toxins. Deciphering the binding poses and mechanisms of action of representative toxins will help to dissect the functional mechanism of the channels and facilitate therapeutic development targeting Nav channels1,2. Here we present cryo-electron microscopy (cryo-EM) structures of distinct binding poses of three agonistic peptide toxins on the human Nav1.6–β1 channel complex.

Nature 20h ago

Perfect divisibility and perfect-Pollyanna in bull-free graphs

arXiv:2603.21538v2 Announce Type: replace-cross Abstract: A graph $G$ is {\em perfectly divisible} if, for each induced subgraph $H$ of $G$, $V(H)$ can be partitioned into $A$ and $B$ such that $H[A]$ is perfect and $\omega(H[B])<\omega(H)$. A {\em bull} is a graph consisting of a triangle with two disjoint pendant edges. Ho\`ang [Discrete Math. 349 (2026) 114809] proposed four conjectures: 1.

arXiv CS 1d ago

Whole-genome duplication shaped cell-type evolution in the vertebrate brain

Abstract The complex brains of vertebrates have more cell types than those of their closest relatives. Whole-genome duplications (WGDs) occurred during early vertebrate evolution1, but it is unclear whether the duplicated genes (ohnologues) facilitated cell-type evolution. Here using brain single-cell transcriptomes from five chordates—human2, mouse3, lizard4, lamprey5 and amphioxus—we report that many cell-type families with conserved core transcription factors in vertebrates do not show...

Nature 20h ago

Mitochondria directly interact with the nuclear pore complex

Abstract Mitochondria regulate cellular processes through direct and indirect interactions with other organelles. A well-studied example has been contact with the endoplasmic reticulum at mitochondrial-associated endoplasmic reticulum membranes1, which control pathways including redox and calcium homeostasis2,3. Recent studies have also reported direct mitochondria–nuclear membrane contacts in cancer cells and yeast that promote pro-survival signalling4,5.

Nature 20h ago

If cores are what agents crave, Intel's new Clearwater Xeon 6+ might just quench their thirst

Intel’s Clearwater Forest Xeons were originally designed to power telco networks, SaaS apps, and other high-volume web-scale workloads. But by a stroke of luck, the x86 giant may have also built an agentic AI beast. AI model training, inference, and the GPUs that power them have dominated the discourse for the past few years, but with the rise of agentic harnesses like OpenClaw, CPUs are back in the limelight.

The Register 9d ago