Results 21 to 30 of about 2,382 (198)

A New Framework to Approach Vizing’s Conjecture

Discussiones Mathematicae Graph Theory, 2021
We introduce a new setting for dealing with the problem of the domination number of the Cartesian product of graphs related to Vizing’s conjecture. The new framework unifies two different approaches to the conjecture.
Brešar Boštjan, Hartnell Bert L., Henning Michael A., Kuenzel Kirsti, Rall Douglas F.   +4 more
doaj   +1 more source

The Thickness of Amalgamations and Cartesian Product of Graphs

Discussiones Mathematicae Graph Theory, 2017
The thickness of a graph is the minimum number of planar spanning subgraphs into which the graph can be decomposed. It is a measurement of the closeness to the planarity of a graph, and it also has important applications to VLSI design, but it has been ...
Yang Yan, Chen Yichao
doaj   +1 more source

Power domination of the cartesian product of graphs

AKCE International Journal of Graphs and Combinatorics, 2016
In this paper, we first give a brief survey on the power domination of the Cartesian product of graphs. Then we conjecture a Vizing-like inequality for the power domination problem, and prove that the inequality holds when at least one of the two graphs ...
K.M. Koh, K.W. Soh
doaj   +1 more source

OntOMat: Toward Ontology‐Based Product and Process Design Engineering and Optimization Solutions Fueling Circular Value Chains

Advanced Engineering Materials, EarlyView.
The OntOMat ontology establishes a structured framework for polymer matrix fiber reinforced composite materials, integrating manufacturing processes, characterization methods, and multiscale design through the VDI/VDE 3682 formalized process description standard.
Nicolas Christ, Jörg Hohe, Martin Kördel, Michael Giese, Niklas Toffert, Christian Seidel, Olaf Rehme, Patrik Schneider, Oliver Focke, Elie Abi Aoun, Claas Falldorf, Beñat Gutierrez, Alexandra Kühn, Sven Torstrick-von der Lieth, Christoph Herden, Erik Johannsen, Jan‐Uwe R. Schmidt, Felix Winkelmann, Andreas Schott, Daniel Schott   +19 more
wiley   +1 more source

Framework Flexibility on Water Sorption and Transport in ZIF‐90: Insights from Neural‐Network Molecular Dynamics

Advanced Materials Interfaces, EarlyView.
A DeepMD‐based molecular dynamics framework is developed to investigate water adsorption in ZIF‐90, explicitly accounting for framework flexibility. Results show that atomistic flexibility significantly influences adsorption energetics, diffusion, and structural correlations, yielding nearly constant heat of adsorption and enhanced mobility.
Nick Mackus, Ionut Tranca, Veerapandian Ponnuchamy, Silvia Gaastra‐Nedea   +3 more
wiley   +1 more source

Atomistic Insights into Gradient Architecture Driven Strengthening in Additively Manufactured Cu–Ni Stepwise Graded Structures

Advanced Materials Interfaces, EarlyView.
Atomistic simulations reveal the interlayer mechanics of additively manufactured materials, showing how build direction and layer interfaces govern diffusion, defect evolution, and mechanical strength. Distinct anisotropic behavior arises from interface‐controlled deformation and dislocation activity, establishing critical links between microstructural
Rohit Singh, Jinoop Arackal Narayanan
wiley   +1 more source

Strong incidence domination in some operations of fuzzy incidence graphs and application in security allocation

International Journal of Mathematics for Industry
This paper explores operations on fuzzy incidence graphs (FIGs), focusing on join, Cartesian product, tensor product, and composition. Emphasizing strong fuzzy incidence graphs (SFIGs), the study examines strong incidence domination (SID) and the strong ...
Kavya R. Nair, M. S. Sunitha
doaj   +1 more source

Connection Number- Based Topological Indices of Cartesian Product of Graphs

Journal of Mathematics, 2023
The area of graph theory (GT) is rapidly expanding and playing a significant role in cheminformatics, mostly in mathematics and chemistry to develop different physicochemical, chemical structure, and their properties.
Aiman Arshad, Aqsa Sattar, Muhammad Javaid, Mamo Abebe Ashebo   +3 more
doaj   +1 more source

Data‐Driven Bulldozer Blade Control for Autonomous Terrain Leveling

Advanced Robotics Research, EarlyView.
A simulation‐driven framework for autonomous bulldozer leveling is presented, combining high‐fidelity terramechanics simulation with a neural‐network‐based reduced‐order model. Gradient‐based optimization enables efficient, low‐level blade control that balances leveling quality and operation time.
Harry Zhang, Ganesh Arivoli, Huzaifa Unjhawala, Luning Bakke, Radu Serban, Dan Negrut   +5 more
wiley   +1 more source

A Generative Neuro‐Symbolic AI for Protein Sequence Design

Advanced Science, EarlyView.
We introduce EffieDes, a neuro‐symbolic framework coupling deep learning‐based fitness landscape parameterization with exact automated reasoning. Unlike greedy sampling, EffieDes identifies sequences that globally optimize fitness while satisfying intricate design constraints.
Marianne Defresne, Delphine Dessaux, Samuel Buchet, Lucie Barthe, Liza Ammar‐Khodja, Bessam Azizi, Valentin Durante, Gianluca Cioci, Simon de Givry, Alain Roussel, Luis F. Garcia‐Alles, Thomas Schiex, Sophie Barbe   +12 more
wiley   +1 more source