Results 81 to 90 of about 39,392 (275)

Extremal Unicyclic Graphs With Minimal Distance Spectral Radius

Discussiones Mathematicae Graph Theory, 2014
The distance spectral radius ρ(G) of a graph G is the largest eigenvalue of the distance matrix D(G). Let U (n,m) be the class of unicyclic graphs of order n with given matching number m (m ≠ 3).
Lu Hongyan, Luo Jing, Zhu Zhongxun
doaj   +1 more source

Supersaturation for subgraph counts

, 2019
The classic extremal problem is that of computing the maximum number of edges in an $F$-free graph. In the case where $F=K_{r+1}$, the extremal number was determined by Tur\'an.
Cutler, Jonathan, Nir, JD, Radcliffe, A. J.   +2 more
core  

MOFs and COFs in Electronics: Bridging the Gap between Intrinsic Properties and Measured Performance

Advanced Functional Materials, EarlyView.
Metal‐organic frameworks (MOFs) and covalent organic frameworks (COFs) hold promise for advanced electronics. However, discrepancies in reported electrical conductivities highlight the importance of measurement methodologies. This review explores intrinsic charge transport mechanisms and extrinsic factors influencing performance, and critically ...
Jonas F. Pöhls, R. Thomas Weitz
wiley   +1 more source

An All‐Optical Driven Bio‐Photovoltaic Interface for Active Control of Live Cells

Advanced Functional Materials, EarlyView.
Bio‐photovoltaic Interface (BIO‐PV‐I) for live cell manipulation is presented. BIO‐PV‐I can be activated non‐invasively and remotely to control the spatial motility, adhesion, and morphology of cells adhering to it. BIO‐PV‐I uses a patterned light‐induced electric potential in iron‐doped lithium niobate crystals whose light‐driven and reversible nature,
Lisa Miccio, Martina Mugnano, Valentina Marchesano, Alejandro Calabuig, Zhe Wang, Gennaro Giordano, Francesca Borrelli, Simonetta Grilli, Pietro Ferraro   +8 more
wiley   +1 more source

Extremal Betti numbers of some classes of binomial edge ideals [PDF]

, 2013
Let $G$ be a cycle or a complete bipartite graph. We show that the binomial edge ideal $J_{G}$ and its initial ideal with respect to the lexicographic order have the same extremal Betti ...
Dokuyucu, Ahmet
core  

Bio‐Orthogonally Crosslinked Supramolecular Polymer Bottlebrush Hydrogels for Long‐Term 3D Cell Culture

Advanced Functional Materials, EarlyView.
Fibrous benzenetrispeptide (BTP) hydrogels, fabricated via strain‐promoted azide‐alkyne cycloaddition (SPAAC) crosslinking, form robust, bioinert networks. These hydrogels can support 3D cell culture, where cell viability and colony growth depend on the fiber content.
Ceren C. Pihlamagi, David Pretzel, Peer Nölte, Kourosh Rezaei, Ulrich S. Schubert, Johannes C. Brendel   +5 more
wiley   +1 more source

Interlacing - extremal graphs

, 2013
A graph G is singular if the zero-one adjacency matrix has the eigenvalue zero. The multiplicity of the eigenvalue zero is called the nullity of G. For two vertices y and z of G, we call (G, y, z) a device with respect to y and z. The nullities of G, G − y,  G − z and G − y − z classify devices into different kinds.
Borg, Martha, Debono, Mark, Fowler, Patrick W., Pickup, Barry T., Sciriha, Irene   +4 more
openaire   +2 more sources

Extremal problems concerning Kneser graphs

Journal of Combinatorial Theory, Series B, 1986
Let A and B be two intersecting families of k-subsets of an n-element set. It is proved that \(| A\cup B| \leq \left( \begin{matrix} n-1\\ k- 1\end{matrix} \right)+\left( \begin{matrix} n-2\\ k-1\end{matrix} \right)\) holds for \(n>(3+\sqrt{5})k.\) Equality holds only if there exist two elements a,b such that \(\{a,b\}\cap F\neq \emptyset\) for all \(F\
Frankl, P, Füredi, Z
openaire   +2 more sources

Infrared Nanocrystals for Space Application: Hardness to Irradiations

Advanced Functional Materials, EarlyView.
This article investigates infrared HgTe nanocrystals under X‐ray and ion irradiation, revealing remarkable radiation hardness. It uncovers distinct degradation mechanisms and shows that the nanomaterial outperforms integrated electronics. The results position colloidal nanocrystals as promising candidates for resilient space and harsh‐environment ...
Alexandre Neyret, Dario Mastrippolito, Bingbing Xia, Adrien Khalili, Maxime Lebreton, Giorgia Strobbia, Albin Colle, Marco Paye, Mariarosa Cavallo, Erwan Bossavit, Claire Abadie, Yoann Prado, Debora Pierucci, Victor Parahyba, Francois Coursaget, David Darson, Emrick Briand, Ian Vickridge, Stephane Demiguel, Sebastien Massenot, Jean‐Marc Belloir, Vincent Goiffon, Emmanuel Lhuillier   +22 more
wiley   +1 more source

Through Diamond Robust Surface Enhanced Raman Spectroscopy

Advanced Functional Materials, EarlyView.
Thin film diamond growth offers a unique opportunity for Surface Enhanced Raman Spectroscopy (SERS); the encapsulation of plasmonic nanostructures within a transparent, chemically stable, and physically robust coating. The diamond acts as both a window and protective layer, enabling illumination of the plasmonic nanostructures through the diamond ...
Kieran N. Twaddle, Rebecca J. Watkins, Ralph J. Moors, Massimiliano L.A. Ramsay, Richard B. Jackman   +4 more
wiley   +1 more source