Results 221 to 230 of about 9,658 (272)

Agile legged locomotion in reconfigurable modular robots. [PDF]

Proc Natl Acad Sci U S A
Yu C, Matthews D, Wang J, Gu J, Blackiston D, Rubenstein M, Kriegman S.   +6 more
europepmc   +1 more source

On Tight Tree‐Complete Hypergraph Ramsey Numbers

Journal of Graph Theory, EarlyView.
ABSTRACT Chvátal showed that for any tree T $T$ with k $k$ edges, the Ramsey number R ( T , n ) = k ( n − 1 ) + 1 $R(T,n)=k(n-1)+1$. For r = 3 $r=3$ or 4, we show that, if T $T$ is an r $r$‐uniform nontrivial tight tree, then the hypergraph Ramsey number R ( T , n ) = Θ ( n r − 1 ) $R(T,n)={\rm{\Theta }}({n}^{r-1})$.
Jiaxi Nie
wiley   +1 more source

A Family of Optimal Linear Functional-Repair Regenerating Storage Codes. [PDF]

Entropy (Basel)
Hollmann HDL.
europepmc   +1 more source

A Coarse Geometric Approach to Graph Layout Problems

Journal of Graph Theory, EarlyView.
ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang, David Hume, Samuel J. Kelly, Ryan Lam   +3 more
wiley   +1 more source

The shifted convolution problem in function fields. [PDF]

Math Ann
Florea A, Lalín M, Malik A, Sahay A.
europepmc   +1 more source

Orientations of Graphs With at Most One Directed Path Between Every Pair of Vertices

Journal of Graph Theory, EarlyView.
ABSTRACT Given a graph G $G$, we say that an orientation D $D$ of G $G$ is a KT orientation if, for all u , v ∈ V ( D ) $u,v\in V(D)$, there is at most one directed path (in any direction) between u $u$ and v $v$. Graphs that admit such orientations have been used to construct graphs with large chromatic number and small clique number that served as ...
Barbora Dohnalová, Jiří Kalvoda, Gaurav Kucheriya, Sophie Spirkl   +3 more
wiley   +1 more source

Factoring an integer with three oscillators and a qubit. [PDF]

Nat Commun
Brenner L, Caha L, Coiteux-Roy X, Koenig R.   +3 more
europepmc   +1 more source

XStreamVGGT: Extremely Memory‐Efficient Streaming Vision Geometry Grounded Transformer With KV Cache Compression

Journal of the Society for Information Display, EarlyView.
XStreamVGGT enables memory‐efficient streaming 3D inference by jointly pruning and quantizing the KV cache. It reduces memory by 4.42× and accelerates inference by 5.48×, with negligible performance loss on depth, reconstruction, and pose estimation, overcoming the unbounded cache growth of StreamVGGT.
Zunhai Su, Weihao Ye, Hansen Feng, Keyu Fan, Jing Zhang, Dahai Yu, Zhengwu Liu, Ngai Wong   +7 more
wiley   +1 more source

Origins of numbers: a shared language-of-thought for arithmetic and geometry? [PDF]

Trends Cogn Sci
Dehaene S, Sablé-Meyer M, Ciccione L.
europepmc   +1 more source

Recent Advances in Photonic Bound States in the Continuum: From Fundamentals to Engineering and Implementation

Laser &Photonics Reviews, EarlyView.
This review summarizes recent progress in meta‐photonics with a focus on bound states in the continuum (BICs) as a powerful platform for light confinement and control. It covers fundamental concepts, design strategies across optical regimes, symmetry breaking for practical quasi‐BICs, tunable and AI‐assisted BIC devices, and emerging applications in ...
Hafiz Saad Khaliq, Hak‐Rin Kim
wiley   +1 more source