Results 71 to 80 of about 286,371 (234)
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Eigenvalue bounds for distance-edge colorings
For a fixed positive integer $t$, we consider the graph colouring problem in which edges at distance at most $t$ are given distinct colours. We obtain sharp lower bounds for the distance-$t$ chromatic index, the least number of colours necessary for such a colouring.
Abiad, Aida, Reijnders, Luuk
openaire +2 more sources
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley +1 more source
Magnetic soft robots offer promise in biomedicine due to their wireless actuation and rapid response, but current fabrication methods are complex and have limited cellular compatibility. A new, contactless bioassembly strategy using hydrodynamic instabilities is introduced, enabling customizable, centimeter‐scale robots.
Wei Gao +5 more
wiley +1 more source
Adaptive Macroscopic Ensemble Allocation for Robot Teams Monitoring Spatiotemporal Processes
We propose an online, environment feedback‐driven macroscopic ensemble approach to adapt robot team task allocation in spatiotemporal environments by controlling robot populations rather than assigning individual robots, all while maintaining robust team performance even for small teams. Our simulation and experimental results show better or comparable
Victoria Edwards +2 more
wiley +1 more source
We applied quantitative MRI of the lower limb and automated home‐cage phenotyping to a mouse model of calpainopathy to detect early disease changes. At 15 months, calpain 3‐deficient mice showed increased water T2 values correlating with immune cell infiltration in the soleus and gastrocnemius muscles, while assessment of motor activity revealed only ...
Nicolina Südkamp +12 more
wiley +1 more source
Distance-regular graphs of diameter 3 having eigenvalue −1
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sejeong Bang, Jack Koolen
openaire +2 more sources
Graphs characterized by the second distance eigenvalue
We characterize all connected graphs with second distance eigenvalue less than $-0.5858$.
Xing, Rundan, Zhou, Bo
openaire +2 more sources
Distance-regular Graphs the Distance Matrix of which has Only One Positive Eigenvalue
``In this paper we investigate the metric hierarchy for distance-regular graphs; in particular, we classify the graphs in the title''.
Koolen, J.H., Shpectorov, S.V.
openaire +2 more sources

