Results 101 to 110 of about 39,392 (275)

Two Short Proofs on Total Domination

Discussiones Mathematicae Graph Theory, 2013
A set of vertices of a graph G is a total dominating set if each vertex of G is adjacent to a vertex in the set. The total domination number of a graph Υt (G) is the minimum size of a total dominating set.
Bickle Allan
doaj   +1 more source

Extremal graphs without 4-cycles

Journal of Combinatorial Theory, Series B, 2013
We prove an upper bound for the number of edges a C4-free graph on q^2 + q vertices can contain for q even. This upper bound is achieved whenever there is an orthogonal polarity graph of a plane of even order q.
Firke, Frank A., Kosek, Peter M., Nash, Evan D., Williford, Jason   +3 more
openaire   +2 more sources

Dynamic Modulation of the Microenvironment Promotes Functional Maturation of Engineered Tissues

Advanced Healthcare Materials, EarlyView.
Engineered tissues lack the dynamic microenvironment of native tissues. A biocompatible, diffusible small molecule to dynamically modulate tissue microenvironments during maturation is used. Timing‐dependent modulation yields distinct outcomes, producing thicker, more native‐like blood vessels, stronger and more mature cardiac tissues, and optimized ...
Eric Silberman, Hadas Oved, Itay Gil, Amgad Marzook, Ester Sapir Baruch, Yahel Shechter, Assaf Shapira, Tal Dvir   +7 more
wiley   +1 more source

On the Numbers of Cut-Vertices and End-Blocks in 4-Regular Graphs

Discussiones Mathematicae Graph Theory, 2014
A cut-vertex in a graph G is a vertex whose removal increases the number of connected components of G. An end-block of G is a block with a single cut-vertex.
Wang Dingguo, Shan Erfang
doaj   +1 more source

Smart Face Masks as Wearable Respiratory Sensors: A Review of Sensor Technologies, Materials, and Future Directions

Advanced Healthcare Materials, EarlyView.
This review highlights recent advances in smart face masks that actively monitor breathing. By integrating humidity, gas, temperature, pressure, strain, and triboelectric sensors, these masks track key respiratory parameters in real time. The article summarizes sensor mechanisms, compares performance across studies, and discusses challenges and future ...
Negin Faramarzi, Naseeh Backer Kannanthodi, Alice Nicole Casling, Babar Ali, Samira Lakouraj Mansouri, Alessandro Giuseppe D'aloia, Hossein Cheraghi Bidsorkhi, Maria Sabrina Sarto   +7 more
wiley   +1 more source

Diels‐Alder Click Chemistry as a Dynamic‐Covalent Crosslinking Method in Spheroid‐Encapsulating Hydrogels for Cartilage Engineering

Advanced Healthcare Materials, EarlyView.
This research shows the development of hydrogels with Diels‐Alder click chemistry for engineering cartilage‐like tissue. The hydrogels support cartilage spheroids which could be cultured for at least 28 days. Furthermore, the spheroids showed a tendency to fuse together into a more consistent construct, and produced important components needed for ...
Sanne M. van de Looij, Antonia G. Vasilopoulou, Lennard Spauwen, Antoinette van den Dikkenberg, Jasmijn V. Korpershoek, Mylene de Ruijter, Jos Malda, Bas G. P. van Ravensteijn, Tina Vermonden   +8 more
wiley   +1 more source

Extremal Graphs for Intersecting Triangles

Journal of Combinatorial Theory, Series B, 1995
A \(k\)-fan is a graph with \(2k+ 1\) vertices consisting of \(k\) 3-cycles having one vertex in common. The authors show that if \(n\geq 50k^2\) and the graph \(G_n\) has more than \([n^2/4]+ k^2- ck\) edges, where \(c\) equals 1 or 3/2 according as \(k\) is odd or even, then \(G_n\) contains a \(k\)-fan; furthermore, the bound for the number of edges
Erdos, P., Furedi, Z., Gould, R.J., Gunderson, D.S.   +3 more
openaire   +2 more sources

Sprayable Polymer Blends With Short‐Chain Surface Segregation for Preventing Postoperative Abdominal Adhesions

Advanced Healthcare Materials, EarlyView.
Adhesions’ high occurrence rates and high morbidity render them a critical challenge to be addressed. Current prevention methods, such as physical barriers, have many limitations, resulting in inconsistent safety and efficacy. This study demonstrates the potential for sprayable polymeric materials as an adhesion barrier.
Robert J. Morris III, Tejaswi Nori, Alex I. Halpern, Hannah LaPadula, Arthur V. Cresce, Sarah L. Wright, Anthony D. Sandler, Peter Kofinas   +7 more
wiley   +1 more source

Designed Liquid Crystalline Nanoassemblies From Clinically Validated Polyunsaturated Lipids for Combined Antioxidant, Anti‐Apoptotic, and Neurotrophic Treatments

Advanced Healthcare Materials, EarlyView.
Ionizable lipid nanoparticles target multiple pathological pathways in neurodegeneration. The designed self‐assembled materials undergo a pH‐triggered structural transformation from a cubosome/hexosome coexistence to a hexosome phase, enhancing intracellular delivery of a multi‐target phytochemical formulation. The antioxidant‐loaded pH‐responsive LNPs
Thelma Akanchise, Fucen Luo, Borislav Angelov, Yuru Deng, Angelina Angelova   +4 more
wiley   +1 more source

Extremal Topological Indices with Prescribed Degree Sequences

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
This paper explores the extremal properties and bounds of two significant topological indices in graph theory: the Albertson and Sigma indices, with an emphasis on trees and bipartite graphs.
Hamoud, J., Belov, A.Ya.
doaj   +1 more source