Domination in 4‐Regular Graphs With No Induced 4‐Cycles
Journal of Graph Theory, EarlyView.ABSTRACT A set S $S$ of vertices in a graph G $G$ is a dominating set of G $G$ if every vertex not in S $S$ is adjacent to a vertex in S $S$. The domination number of G $G$, denoted by γ ( G ) $\gamma (G)$, is the minimum cardinality of a dominating set in G $G$.
Michael A. Henning, Anders Yeo
wiley +1 more source
Residue class biases in unrestricted partitions, partitions into distinct parts, and overpartitions. [PDF]
Res Math SciSchlosser MJ, Zhou NH.
europepmc +1 more source
Another Proof of the Generalized Tutte—Berge Formula for f $f$‐Bounded Subgraphs
Journal of Graph Theory, EarlyView.ABSTRACT Given a nonnegative integer weight f ( v ) $f(v)$ for each vertex v $v$ in a multigraph G $G$, an f $f$‐bounded subgraph of G $G$ is a multigraph H $H$ contained in G $G$ such that d H ( v ) ≤ f ( v ) ${d}_{H}(v)\le f(v)$ for all v ∈ V ( G ) $v\in V(G)$.
Zishen Qu, Douglas B. West
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Secure mobile agents for efficient medical information retrieval: A verifiable variable threshold secret sharing approach. [PDF]
PLoS OneKumar P +5 more
europepmc +1 more source
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
On Double Cyclic Codes over Finite Chain Rings for DNA Computing. [PDF]
Entropy (Basel)Ali S +4 more
europepmc +1 more source
Long‐Range Exciton Energy Transfer in Two‐Dimensional Materials
Laser &Photonics Reviews, EarlyView.This review highlights recent advances in long‐range exciton energy transfer within planar 2D‐material architectures. It emphasizes the emergence of self‐hybridized excitonpolaritons, exciton coupling to surface plasmon polaritons and plasmonic lattices, and the role of dipoledipole transfer pathways in enabling efficient nanoscale energy transport ...
Paul H. Bittorf +8 more
wiley +1 more source
Three-torsion subgroups and wild conductor exponents of plane quartics. [PDF]
Res Number TheoryLupoian E, Rawson J.
europepmc +1 more source
Multimode Phonon Lasing via Self‐Induced Optical Coherent Pumping
Laser &Photonics Reviews, EarlyView.A silicon optomechanical nanobeam generates self‐sustained phonon lasing in multiple competing mechanical modes via self‐pulsing, an intrinsic optical modulation arising from cavity nonlinearity. This self‐organized mechanism enables robust multi‐frequency operation spanning periodic, quasi‐periodic, and chaotic regimes without external modulation. The
David Alonso Tomás +5 more
wiley +1 more source
On the Optimal File Size of Capacity-Achieving Byzantine-Resistant Private Information Retrieval Schemes. [PDF]
Entropy (Basel)Kruglik S, Kiah HM, Dau SH, Wang H.
europepmc +1 more source