Results 61 to 70 of about 26,192 (266)

Smallest cubic and quartic graphs with a given number of cutpoints and bridges

International Journal of Mathematics and Mathematical Sciences, 1982
For positive integers b and c, with c even, satisfying the inequalities b+1≤c≤2b, the minimum order of a connected cubic graph with b bridges and c cutpoints is computed. Furthermore, the structure of all such smallest cubic graphs is determined.
Gary Chartrand, Farrokh Saba, John K. Cooper, Frank Harary, Curtiss E. Wall   +4 more
doaj   +1 more source

Critical and Flow-Critical Snarks Coincide

Discussiones Mathematicae Graph Theory, 2021
Over the past twenty years, critical and bicritical snarks have been appearing in the literature in various forms and in different contexts. Two main variants of criticality of snarks have been studied: criticality with respect to the non-existence of a ...
Máčajová Edita, Škoviera Martin
doaj   +1 more source

Coloring Graphs in Oriented Coloring of Cubic Graphs

Graphs and Combinatorics, 2022
AbstractOriented coloring of an oriented graph G is an arc-preserving homomorphism from G into a tournament H. We say that the graph H is universal for a family of oriented graphs $$\mathcal {C}$$ C if for every $$G\in \mathcal {C}$$ G ∈ C
openaire   +2 more sources

The Cuttlebone Blueprint for Multifunctional Metamaterials: Design Taxonomy, Functional Decoupling, and Future Horizons

Advanced Functional Materials, EarlyView.
Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley   +1 more source

Dispensing Volumetric Additive Manufacturing

Advanced Functional Materials, EarlyView.
Dispensing volumetric additive manufacturing (DVAM) prints 3D structures inside a photocurable resin droplet suspended from the tip of a glass pipette, enabling sequential printing without resin vats or manual part removal. Real‐time droplet profiling and ray‐tracing‐based correction compensate for optical distortion at the curved resin‐air interface ...
Hongryung Jeon, Yunsoo Lee, Seobin Park, Kyung‐Hwan Kim, Junyoung Seo, Im Doo Jung   +5 more
wiley   +1 more source

ON THE EDGE COVER POLYNOMIAL OF CERTAIN GRAPHS [PDF]

Journal of Algebraic Systems, 2015
Let $G$ be a simple graph of order $n$ and size $m$.The edge covering of $G$ is a set of edges such that every vertex of $G$ is incident to at least one edge of the set.
Saeid Alikhani, Sommayeh Jahari
doaj   +1 more source

Engineering Extracellular Vesicle Production Through Magnetic Ion Channel Activation for Bone Regeneration

Advanced Healthcare Materials, EarlyView.
Magnetic Ion Channel Activation (MICA) enables remote stimulation of mechanosensitive ion channels using functionalised magnetic nanoparticles, enhancing extracellular vesicle (EV) biogenesis is pre‐osteoblasts. MICA desrived EVs exhibit typical nano‐vesicular characteristics but display superior pro‐osteogeneic activity, promoting mesenchymal stem ...
Afeesh Rajan Unnithan, Kenny Man, Kritika, Lee A. Gethings, Christopher J. Hughes, Alicia Keenan, Liam Heaney, Sophie C. Cox, Owen G. Davies, Alicia J. El Haj   +9 more
wiley   +1 more source

Graphic TSP in cubic graphs

, 2016
We present a polynomial-time 9/7-approximation algorithm for the graphic TSP for cubic graphs, which improves the previously best approximation factor of 1.3 for 2-connected cubic graphs and drops the requirement of 2-connectivity at the same time. To design our algorithm, we prove that every simple 2-connected cubic n-vertex graph contains a spanning ...
Dvorák, Zdenek, Král, Daniel, Mohar, Bojan   +2 more
openaire   +4 more sources

Taming the Immiscibility of Gold, Iron, and Boron to Craft Chemodegradable Nanoparticles for Multimodal Imaging and Radiotherapy

Advanced Healthcare Materials, EarlyView.
Over half of cancer patients undergo radiotherapy. Laser ablation enabled the synthesis of immiscible Au‐Fe‐B nanoparticles designed as degradable bimodal radiosensitizers for X‐ray radiotherapy (XRT), boron neutron capture therapy (BNCT), and bimodal imaging for X‐ray computed tomography (CT) and magnetic resonance imaging (MRI). These nanosensitizers
Michael Bissoli, Clara M.G. de Faria, Veronica Torresan, Maria Assunta Lacavalla, Mattia Cattelan, Denis Badocco, Paolo Pastore, Pasquina Marzola, Laura Cansolino, Cinzia Ferrari, Ian Postuma, Riccardo Vago, Silva Bortolussi, Antonello E. Spinelli, Daniel Forrer, Vincenzo Amendola   +15 more
wiley   +1 more source

Exact Formula for Computing the Hyper-Wiener Index on Rows of Unit Cells of the Face-Centred Cubic Lattice

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Similarly to Wiener index, hyper-Wiener index of a connected graph is a widely applied topological index measuring the compactness of the structure described by the given graph. Hyper-Wiener index is the sum of the distances plus the squares of distances
Mujahed Hamzeh, Nagy Benedek
doaj   +1 more source