Results 61 to 70 of about 166,225,520 (254)
Reinforcing the number of disjoint spanning trees [PDF]
The spanning tree packing number of a connected graph G, denoted by T(G), is the maximum number of edge-disjoint spanning trees of G. In this paper, we determine the minimum number of edges that must be added to G so that the resulting graph has spanning
Lai, Hong-Jian +2 more
core +1 more source
Metal‐free carbon catalysts enable the sustainable synthesis of hydrogen peroxide via two‐electron oxygen reduction; however, active site complexity continues to hinder reliable interpretation. This review critiques correlation‐based approaches and highlights the importance of orthogonal experimental designs, standardized catalyst passports ...
Dayu Zhu +3 more
wiley +1 more source
The number of spanning trees of a complete multipartite graph [PDF]
We calculate the number of spanning trees of a complete multipartite graph, using a ‘Prüfer sequence’ argument, and we use this approach to determine the distribution of the vertices of given degree among all the spanning ...
Richard P. Lewis, Lewis, Richard P.
core +1 more source
The Complexity of Classes of Pyramid Graphs Based on the Fritsch Graph and Its Related Graphs
A quantitative study of the complicated three-dimensional structures of artificial atoms in the field of intense matter physics requires a collaborative method that combines a statistical analysis of unusual graph features related to atom topology ...
Ahmad Asiri, Salama Nagy Daoud
doaj +1 more source
Organic Materials of Tomorrow: Horizons of Artificial Intelligence
This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena +3 more
wiley +1 more source
Measuring the Hall Effect in Hysteretic Materials
The authors highlight common pitfalls in measuring the Hall effect: in hysteretic magnets, improper data processing can create signals that look exotic but are not real. This Perspective explains the origin of these artifacts and presents practical measurement strategies that help researchers identify reliable Hall responses in complex magnetic ...
Jaime M. Moya +6 more
wiley +1 more source
On the number of spanning trees of K n m ± Ggraphs
The K n-complement of a graph G, denoted by K n-G, is defined as the graph obtained from the complete graph K n by removing a set of edges that span G; if G has n vertices, then K n-G coincides with the complement G of the graph G.
Stavros D. Nikolopoulos +1 more
doaj
Determinants of Laplacians on discretizations of flat surfaces and analytic torsion
We study the asymptotic expansion of the determinants of the graph Laplacians associated to discretizations of a half-translation surface endowed with a unitary flat vector bundle. By doing so, over the discretizations, we relate the asymptotic expansion
Finski, Siarhei
doaj +1 more source
Breaking the Surface: Buoyant Metal–Polymer Open–Cell Hybrid Lattice Metamaterials
Open‐cell metal–polymer lattice metamaterials that defy sinking. (a) Injection process of the polyurethane (PU) foam into the titanium (Ti‐6Al‐4V) hollow‐strut lattice creating the open‐cell Ti‐6Al‐4V+PU hybrid lattice, (b) flotation test of a hybrid lattice specimen, and (c) a digital representation and experimental validation of a marine buoy ...
Jordan Noronha +7 more
wiley +1 more source
Bioengineered Interfaces for Peripheral Nerve Sensory Restoration
Half of amputees abandon their prosthetics for lack of feeling. This review charts the full path from peripheral nerve injury to restored sensation, through surgical, regenerative, noninvasive, and implanted approaches, and shows how injury type and interface material properties determine which strategy can deliver naturalistic feedback, and why ...
Sydney Swedick +4 more
wiley +1 more source

