the Minimum Cycle Basis
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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.
Cycle-Space Informed Detection of Autoencoded Blind False Data Injection Attacks on Power Systems
Announce Type: replace Abstract: The rapid growth of AI-driven data centers and large-scale energy storage systems is increasing the reliance of power system operation on real-time measurement data and automated decision-making. However, many existing detection methods rely on statistical or data-driven analysis of measurements and can fail when attackers exploit the same data structure to craft stealthy perturbations. To illustrate this limitation, we demonstrate a blind False Data...
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Whole-genome duplication shaped cell-type evolution in the vertebrate brain
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Gene ancestries reveal diverse microbial associations during eukaryogenesis
Abstract The origin of eukaryotes remains a central enigma in biology1. Continuing debates agree on the pivotal role of a symbiosis between an alphaproteobacterium and an Asgard archaeon2,3. However, the nature, timing and contributions of other potential bacterial partners4,5,6 and the role of interactions with viruses7,8,9 remain contentious.
The American Missile Crisis
Recent global conflicts, from Russia and Ukraine to Iran and Israel, have seen a resurgent awareness of the frailty of US munitions stock, which has been drawn down by both direct and indirect involvement in these events. While exact stockpile volumes are not disclosed, it is estimated that supplies of US warheads and the missiles that carry them have declined by nearly an order of magnitude since their peak during the Cuban Missile Crisis. Analysts have estimated that in the event of a...
Apple's WWDC: Tim Cook's AI legacy at stake in his final developer conference as CEO
Apple heads into next week's Worldwide Developers Conference with its stock near record highs, iPhone momentum improving and one unresolved question hanging over Tim Cook's final developer conference as CEO: Can Apple finally deliver the artificial intelligence experience it promised two years ago? The expected centerpiece of WWDC is a major overhaul of Siri, Apple’s long-criticized voice assistant. Analysts expect Apple to show a more powerful version of Siri with a standalone chatbot-style...