Results 61 to 70 of about 3,844 (297)

Distinguishing Number and Distinguishing Index of the Join of Two Graphs [PDF]

Mathematics Interdisciplinary Research, 2019
The distinguishing number (index) D(G) (D'(G)) of a graph G is the least integer d such that G has an vertex labeling (edge labeling) with d labels that is preserved only by a trivial automorphism. In this paper we study the distinguishing number and the
Saeid Alikhani, Samaneh Soltani
doaj   +1 more source

Vertex partitioning and p-energy of graphs

Linear Algebra and its Applications
For a Hermitian matrix $A$ of order $n$ with eigenvalues $λ_1(A)\ge \cdots\ge λ_n(A)$, define \[ \mathcal{E}_p^+(A)=\sum_{λ_i > 0} λ_i^p(A), \quad \mathcal{E}_p^-(A)=\sum_{λ_i<0} |λ_i(A)|^p,\] to be the positive and the negative $p$-energy of $A$, respectively.
Akbari, Saieed, Kumar, Hitesh, Mohar, Bojan, Pragada, Shivaramakrishna   +3 more
openaire   +3 more sources

Influence of Geometric Design on Mechanical Performance of Auxetic Metastructure

Advanced Engineering Materials, EarlyView.
Strategic geometric reinforcement transforms auxetic performance. This study evaluates 3D‐printed arrowhead metastructures, revealing that a modified design with local ring reinforcement suppresses premature failure to achieve superior energy absorption and structural efficiency.
Muhammad Gulzari, Supharoek Sornsomrit, Muhammad Ayaz Akbar, Stephan Rudykh   +3 more
wiley   +1 more source

Transfer Printing and Reconfiguration of Soft Electronics Using Digital Microfluidics and Laser Machining

Advanced Functional Materials, EarlyView.
This paper presents a digital microfluidics‐based technique for transferring and reconfiguring soft nanomembranes. Laser‐machined nanothin membranes are picked up, transported, and aligned via tailored surface tension and the actuation of water droplets, enabling the development of flexible electronics, the integration of functional materials on 3D ...
Quang Anh Nguyen, Chi Cong Nguyen, Tran Bach Dang, Phuoc Thien Phan, Jordan Thorpe, Michael Listyawan, Nhat Minh Doan, Sinuo Zhao, Hongru Chen, Trung Thien Hoang, Mingsheng Xu, Jisheng Han, Thanh Nho Do, Adam Hill, Timothée Mouterde, Hoang‐Phuong Phan   +15 more
wiley   +1 more source

Brick partitions of graphs

, 2010
For each rational number q=b/c where b≥c are positive integers, we define a q-brick of G to be a maximal subgraph H of G such that cH has b edge-disjoint spanning trees, and a q-superbrick of G to be a maximal subgraph H of G such that cH−e has b edge ...
Jackson, Bill, Jordán, Tibor
core   +1 more source

Chiral Phase Change Nanomaterials

Advanced Functional Materials, EarlyView.
This work demonstrates reversible, non‐volatile phase transitions in chiral Ge2${\rm Ge}_2$Sb2${\rm Sb}_2$Te5${\rm Te}_5$ (GST) nanohelices for high‐speed optical modulation of chirality and dynamic control of the state of polarization (SOP). The chiral nanostructures are fabricated using a highly directional, wafer‐scale physical vapor deposition ...
Joshua A. Burrow, Md Shah Alam, Riad Yahiaoui, Evan M. Smith, Ryan Laing, Jules Gardener, Thomas A. Searles, Piyush J. Shah, Shivashankar Vangala, Joshua R. Hendrickson, Andrew M. Sarangan, Imad Agha   +11 more
wiley   +1 more source

Vertex partition of hypergraphs and maximum degenerate subhypergraphs

Electronic Journal of Graph Theory and Applications, 2021
In 2007 Matamala proved that if G is a simple graph with maximum degree Δ ≥ 3 not containing KΔ+1 as a subgraph and s, t are positive integers such that s+t ≥ Δ, then the vertex set of G admits a partition (S,T) such that G[S] is a maximum order (s-1 ...
Thomas Schweser, Michael Stiebitz
doaj   +1 more source

Vertex partitioning of a class of digraphs [PDF]

Mathématiques et sciences humaines, 2002
A vertex subset V' of a digraph is a pseudo sink set if its out-degree is low. The research of a pseudo sink set in a digraph is a high complexity combinatory problem. We show, for a particular family of digraphs, that a clustering of the vertex set fitted with a well chosen metric allows to reveal pseudo sink sets by their aggregation in a first ...
Louis Ferre, Bertrand Jouve
openaire   +1 more source

Extracellular Vesicles Modulation by an Adiponectin Receptor Agonist Provides Cardioprotection for Myocardial Ischemic Injury

Advanced Healthcare Materials, EarlyView.
This study demonstrates that ALY688, a drug mimicking the heart‐protective hormone adiponectin, reduces myocardial ischemia injury. ALY688 increases the production of extracellular vesicles, which carry protective cargo including adiponectin itself.
Jialing Tang, Wing Yan Chung, Serena M. Pulente, Yubin Lei, Khang Nguyen, Eddie Tam, Nadya M. Morrow, Ilka Lorenzen‐Schmidt, Fengxia Xiao, Augusto Zani, Dylan Burger, Hye Kyoung Sung, Erin E. Mulvihill, Gary Sweeney   +13 more
wiley   +1 more source

A Matrix Approach to Hypergraph Stable Set and Coloring Problems with Its Application to Storing Problem

Journal of Applied Mathematics, 2014
This paper considers the stable set and coloring problems of hypergraphs and presents several new results and algorithms using the semitensor product of matrices. By the definitions of an incidence matrix of a hypergraph and characteristic logical vector
Min Meng, Jun-e Feng
doaj   +1 more source