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This software generates, counts, and classifies codes of rotation systems of cell-embedded graphs in oriented surfaces with a fixed root vertex and a fixed oriented sector. For a given number kk of edges, a code is a finite sequence over the alphabet {0,1,…,k}. Each number 1,…,k occurs exactly twice, while 0 may occur...
Safe drilling in hydrate-bearing sediments is essential for environmentally responsible natural gas hydrate development. Complex pressure variations, fluid migration, and mechanical disturbances during drilling may increase the risks of gas influx, lost circulation, pipe sticking, and wellbore instability. To improve d...
Methodologically, the Research Topic is characterised primarily by quantitative empirical analyses using cross-sectional surveys, provincial panel datasets and quasi-natural experiments, complemented by simulation-based approaches such as agent-based modelling and evolutionary game theory. These approaches provide impo...
The wavegram match is measured on a grid that can resolve the delay The bin two detectors' maps are compared on is derived by the network stage from what the comparison has to represent, instead of being inherited from the column width of whichever rendering was passed to it. Two bounds fix it and both are physical: a...
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Version 2.4. We independently implement the Connes–Consani–Moscovici (CCM) operator construction described in arXiv:2511.22755 in Rust using arbitrary-precision MPFR/GMP arithmetic. This manuscript is an independent reproduction and empirical analysis of the CCM construction; it does not claim to prove the limiting con...
Abstract The Gilbert graph $$\mathcal {G}_{q,n,d}$$ G q , n , d , which arises naturally in graph theory and coding theory, is the regular graph on $$\mathbb {F}_q^n$$ F q n in which two vertices are adjacent if their Hamming distance is less than d , and it is vertex-transitive. We classify all parameters ( q , n , d...
“Technology is not a distant vision—it is the reality we are shaping today.” The Research Bulletin 2026 (Vol. 3, Issue 1) from the Department of Computer Application, Integral University presents the department’s dynamic engagement with cutting‑edge research and innovation through the work of its faculty members and re...
Let [Formula: see text] be a simple graph on [Formula: see text] vertices and [Formula: see text] denote the corresponding binomial edge ideal in [Formula: see text], where [Formula: see text] is a field. In this paper, we provide an upper bound for the regularity of binomial edge ideals of trees. Our approach leverage...
This treatise introduces a non-invasive, universal quantum-biological framework designed to reverse structural macromolecular mutations and pathogens across human, veterinary, and agronomic systems through the deployment of temporary, bioresorbable inorganic nanoprostheses. Traditional quantum biology remains bottlenec...
This treatise introduces a non-invasive, universal quantum-biological framework designed to reverse structural macromolecular mutations and pathogens across human, veterinary, and agronomic systems through the deployment of temporary, bioresorbable inorganic nanoprostheses. Traditional quantum biology remains bottlenec...
Praktisch nutzbare Künstliche Intelligenz entstand aus dem Bündnis kluger Köpfe mit den rechentechnischen Fähigkeiten Boolescher Automaten – natürliche Intelligenz dagegen aus Selbstorganisation und Evolution. Dieser zweite Weg rückt mit dem neuromorphen Rechnen zunehmend wieder in das Blickfeld von Wissenschaft und Pr...
New in v2.5. At eight vertices three independent enumerations — the per-graph file published with arXiv:2605.12828, the 2012 Amselem–Danielsen–López-Tarrida–Portillo database, and this sweep — give the same 498 graphs, identical as graph6 strings, with zero disagreement on the independence number across all 11 117 grap...
Host Sowbhagya Suresh shares some of the latest news and cutting-edge research from across Microsoft—from understanding the challenges facing coding agents to uncovering how people use AI at work and improving extended-range weather forecasting. The post Microsoft Research Focus – Edition #97 appeared first on Microsoft Research.
Professor Paris Smaragdis develops computers with superhuman hearing for applications like speech recognition, music understanding, and environmental monitoring.
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For decades, a fundamental question about the difficulty of computing in high-dimensional spaces has resisted proof. New research resolves this question, removing a major theoretical obstacle to understanding the efficiency of randomized algorithms used across science and computing. The Kannan–Lovász–Simonovits (KLS) conjecture was proposed in 1995. It asks whether, for a broad class of high-dimensional […] The post Solving a 31-year-old grand challenge in mathematics – the KLS conjecture appear…
A new computational approach reveals how cells communicate to assemble into tissues. This could accelerate stem cell engineering, improve disease models, and inform therapies.
Zero-knowledge proofs can verify computing results without rerunning workloads or exposing sensitive data. Magnetar helps bring them into the mainstream with support for standard programming languages, major speed gains, and quantum-resistant security. The post Proof-based general-purpose computing with Magnetar appeared first on Microsoft Research.
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