Results 71 to 80 of about 3,139,455 (314)

A Note on Cycles in Locally Hamiltonian and Locally Hamilton-Connected Graphs

Discussiones Mathematicae Graph Theory, 2020
Let 𝒫 be a property of a graph. A graph G is said to be locally 𝒫, if the subgraph induced by the open neighbourhood of every vertex in G has property 𝒫. Ryjáček conjectures that every connected, locally connected graph is weakly pancyclic.
Tang Long, Vumar Elkin
doaj   +1 more source

Hamilton-connectedness and Hamilton-laceability of planar geometric graphs with applications

AIMS Mathematics, 2021
In this paper, we have used two different proof techniques to show the Hamilton-connectedness of graphs. By using the vertex connectivity and Hamiltoniancity of graphs, we construct an infinite family of Hamilton-connected convex polytope line graphs ...
Suliman Khan, Sakander Hayat, Asad Khan, Muhammad Yasir Hayat Malik, Jinde Cao   +4 more
doaj   +1 more source

Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve

Discrete & Continuous Dynamical Systems - B, 2020
This paper deals with the number of limit cycles for planar piecewise smooth near-Hamiltonian or near-integrable systems with a switching curve. The main task is to establish a so-called first order Melnikov function which plays a crucial role in the ...
Huanhuan Tian, Maoan Han
semanticscholar   +1 more source

Spin Defects in Hexagonal Boron Nitride as 2D Strain Sensors

Advanced Functional Materials, EarlyView.
We demonstrate that boron‐vacancy (VB${\rm V}_{\rm B}$) centers in hexagonal boron nitride (hBN) enable quantitative strain sensing with sub‐micrometer resolution. Using this approach under continuously tunable in‐plane stress, we precisely quantify strain‐induced shifts of the E2g${\rm E}_{2{\rm g}}$ Raman mode in multilayer hBN, establishing VB${\rm ...
Zhao Mu, Zhaowei Zhang, Jules Fraunié, Cédric Robert, Grégory Seine, Bernard Gil, Guillaume Cassabois, Vincent Jacques   +7 more
wiley   +1 more source

Strain Engineering of Magnetoresistance and Magnetic Anisotropy in CrSBr

Advanced Materials, EarlyView.
Biaxial compressive strain significantly enhances magnetoresistance and critical saturation fields in thin flakes of the 2D magnet CrSBr, along all three crystallographic axes. First‐principles calculations link these effects to strain‐induced increases in exchange interactions and magnetic anisotropy.
Eudomar Henríquez‐Guerra, Alberto M. Ruiz, Marta Galbiati, Álvaro Cortés‐Flores, Daniel Brown, Esteban Zamora‐Amo, Lisa Almonte, Andrei Shumilin, Juan Salvador‐Sánchez, Ana Pérez‐Rodríguez, Iñaki Orue, Andrés Cantarero, Andres Castellanos‐Gomez, Federico Mompeán, Mar Garcia‐Hernandez, Efrén Navarro‐Moratalla, Enrique Diez, Mario Amado, José J. Baldoví, M. Reyes Calvo   +19 more
wiley   +1 more source

Contractible Hamiltonian cycles in triangulated surfaces [PDF]

Elemente der Mathematik, 2014
A triangulation of a surface is called $q$-equivelar if each of its vertices is incident with exactly $q$ triangles. In 1972 Altshuler had shown that an equivelar triangulation of torus has a Hamiltonian Circuit. Here we present a necessary and sufficient condition for existence of a contractible Hamiltonian Cycle in equivelar triangulation of a ...
openaire   +3 more sources

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source

Hamiltonian cycle clustering with asymmetric correlation

Visual Informatics
Analysts who explore high-dimensional data usually want three answers at once: Which samples belong together, how close the resulting groups are, and who influences whom accordingly.
Tianyi Huang, Zhengjun Zhang, Shenghui Cheng   +2 more
doaj   +1 more source

Spin and Charge Control of Topological End States in Chiral Graphene Nanoribbons on a 2D Ferromagnet

Advanced Materials, EarlyView.
Chiral graphene nanoribbons on a ferromagnetic gadolinium‐gold surface alloy display tunable spin and charge states at their termini. Atomic work function variations and exchange fields enabe transitions between singlet, doublet, and triplet configurations.
Leonard Edens, Francisco Romero‐Lara, Trisha Sai, Kalyan Biswas, Manuel Vilas‐Varela, Thomas Frederiksen, Diego Peña, Fabian Schulz, Jose Ignacio Pascual   +8 more
wiley   +1 more source

On the Hamiltonian Number of a Plane Graph

Discussiones Mathematicae Graph Theory, 2019
The Hamiltonian number of a connected graph is the minimum of the lengths of the closed spanning walks in the graph. In 1968, Grinberg published a necessary condition for the existence of a Hamiltonian cycle in a plane graph, formulated in terms of the ...
Lewis Thomas M.
doaj   +1 more source