Results 71 to 80 of about 2,481,483 (231)
𝕮-inverse of graphs and mixed graphs
Open MathematicsThis article introduces a generalization of the concept of inverse graphs applicable to both graphs and mixed graphs. Given a graph GG with adjacency matrix A(G)A\left(G), the inverse graph G−1{G}^{-1} is defined such that its adjacency matrix is similar
Alomari Omar +2 more
doaj +1 more source
Strongly Regular Graphs with Maximal Energy [PDF]
The energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. Koolen and Moulton have proved that the energy of a graph on n vertices is at most n(1 + √n)/2, and that equality holds if and only if the graph is ...
Haemers, W.H.
core
Volatile Relay Biosensing and Mobile Phone Imaging for Detection of Influenza Virus
Advanced Functional Materials, EarlyView.Detection of volatile organic compounds is performed via a coupled enzymatic assay with mobile phone detection of the signal. Specific application demonstrated herein is the detection of influenza virus, across multiple levels of biological complexity, up to patient‐derived samples.
Dante G. Andersen +7 more
wiley +1 more source
Advanced Functional Materials, EarlyView.A systematic review is conducted to assess the influence of electrode architecture across micro‐ to mesoscopic length scales on electron‐transfer pathways in electrocatalysis. We discuss the structure‐activity relationships in electrocatalytic applications, including resource recovery and environmental remediation, and provide cost‐effective, efficient
Manshu Zhao +6 more
wiley +1 more source
One‐Step Curcumin‐Mediated Multiphoton Lithography for Bioactive 3D Scaffolds
Advanced Functional Materials, EarlyView.Curcumin‐mediated multiphoton lithography enables one‐step fabrication of highly architected complex gelatin methacryloyl scaffolds by exploiting curcumin as a multifunctional bioactive photoinitiator. The resulting 3D structures support mesenchymal stem cell adhesion, proliferation, and migration, while exhibiting dual antibacterial activity through ...
Myrto Charitaki +7 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Fiber‐reinforced liquid metal composites (FibRe LMCs) are introduced that combine GPa‐scale structural performance with digitally programmable electrical conductivity. Through automated CNC activation, conductive pathways and wireless power transfer circuits are fabricated directly within load‐bearing composites, enabling structurally integrated ...
John Joyce +5 more
wiley +1 more source
The Maximum Order of Reduced Square(0, 1)-Matrices with a Given Rank [PDF]
We look for the maximum order of a square (0, 1)-matrix A with a fixed rank r, provided A has no repeated rows or columns. If A is the adjacency matrix of a graph, Kotlov and Lovász [J. Graph Theory 23, 1996] proved that the maximum order equals Θ(2r/2).
Peeters, M.J.P., Haemers, W.H.
core
The Relation Between Topological Ordering and Adjacency Matrix in Digraphs [PDF]
, 2012 . In this paper the properties of node-node adjacency matrix in acyclic digraphs are considered. It is shown that topological ordering and node-node adjacency matrix are closely related.
N Delfan, T Rastad
core
Graphs whose adjacency matrices have rank equal to the number of distinct nonzero rows
, 2013 For a simple graph G, let rank(G) and dnzr(G) denote respectively the rank and the number of distinct nonzero rows of the adjacency matrix A(G) of G. Equivalent conditions are given for the join G1∨G2 of two vertex-disjoint graphs G1,G2 to satisfy rank ...
Huang, Liang-Hao; Tam, Bit-Shun; Wu, Shu-Hui +1 more
core +1 more source