Results 81 to 90 of about 217,204 (287)

A course on Combinatorial Algorithms [PDF]

arXiv, 2007
The paper presents a course on Combinatorial Algorithms that is based on the drafts of the author that he used while teaching the course in the Department of Informatics and Applied Mathematics of Yerevan State University, Armenia from February 2007 to June 2007.
arxiv  

Bioinspired Design of Isotropic Lattices with Tunable and Controllable Anisotropy

Advanced Engineering Materials, EarlyView.
This study introduces nested isotropic lattices, integrating architectural elements like nesting orders and orientations inspired by bioarchitectures. The design enables tunable anisotropy across nine mono‐nest and twenty multi‐nest lattices with 252 parametric variations, demonstrating transitions from shear‐ to tensile‐compression‐dominant behaviors ...
Ramalingaiah Boda, Biranchi Panda, Shanmugam Kumar   +2 more
wiley   +1 more source

All graphs of order n ≥ 11 and diameter 2 with partition dimension n − 3

Heliyon, 2020
All graphs of order n with partition dimension 2, n−2, n−1, or n have been characterized. However, finding all graphs on n vertices with partition dimension other than these above numbers is still open.
Edy Tri Baskoro, Debi Oktia Haryeni
doaj  

Beyond Global Mechanical Properties: Bioinspired Triply‐Periodic Minimal Surface Cellular Solids for Efficient Mechanical Design and Optimization

Advanced Engineering Materials, EarlyView.
Using novel probe‐based metrics, this study evaluates lattice structures on criteria critical to cellular solid optimization. Triply‐periodic minimal surface (TPMS) lattices outperform other lattices, offering more predictable mechanical behavior in complex design spaces and, as a result, higher performance in optimized models.
Firas Breish, Christian Hamm, Reinhold Kienzler   +2 more
wiley   +1 more source

Advancing Digital Transformation in Material Science: The Role of Workflows Within the MaterialDigital Initiative

Advanced Engineering Materials, EarlyView.
The MaterialDigital initiative drives the digital transformation of material science by promoting findable, accessible, interoperable, and reusable principles and enhancing data interoperability. This article explores the role of scientific workflows, highlights challenges in their adoption, and introduces the Workflow Store as a key tool for sharing ...
Simon Bekemeier, Celso Ricardo Caldeira Rêgo, Han Lin Mai, Ujjal Saikia, Osamu Waseda, Markus Apel, Felix Arendt, Alexander Aschemann, Bernd Bayerlein, Robert Courant, Gordian Dziwis, Florian Fuchs, Ulrich Giese, Kurt Junghanns, Mohamed Kamal, Lukas Koschmieder, Sebastian Leineweber, Marc Luger, Marco Lukas, Jürgen Maas, Jana Mertens, Björn Mieller, Ludger Overmeyer, Norbert Pirch, Jan Reimann, Sebastian Schröck, Philipp Schulze, Jörg Schuster, Alexander Seidel, Oleg Shchyglo, Marek Sierka, Frank Silze, Simon Stier, Marvin Tegeler, Jörg F. Unger, Matthias Weber, Tilmann Hickel, Jörg Schaarschmidt   +37 more
wiley   +1 more source

Subdivision of graphs in R(mK2,P4)

Heliyon, 2020
For any graphs F,G, and H, the notation F→(G,H) means that any red-blue coloring of all edges of F will contain either a red copy of G or a blue copy of H. The set R(G,H) consists of all Ramsey (G,H)-minimal graphs, namely all graphs F satisfying F→(G,H)
Kristiana Wijaya, Edy Tri Baskoro, Hilda Assiyatun, Djoko Suprijanto   +3 more
doaj  

Mathematical aspect of the combinatorial game "Mahjong"

, 2017
We illustrate how one can use basic combinatorial theory and computer programming technique (Python) to analyze the combinatorial game: Mahjong. The results confirm some folklore concerning the game, and expose some unexpected results. Related results and possible future research in connection to artificial intelligence are mentioned.
Cheng, Yuan, Li, Chi-Kwong, Li, Sharon H.   +2 more
openaire   +2 more sources

A Local Characterization of Combinatorial Multihedrality in Tilings [PDF]

arXiv, 2008
A locally finite face-to-face tiling of euclidean d-space by convex polytopes is called combinatorially multihedral if its combinatorial automorphism group has only finitely many orbits on the tiles. The paper describes a local characterization of combinatorially multihedral tilings in terms of centered coronas.
arxiv  

Elastic‐Wave Propagation in Chiral Metamaterials: A Couple‐Stress Theory Perspective

Advanced Engineering Materials, EarlyView.
The intrinsic chirality of chiral metamaterials renders an effective medium based on the classical continuum theory ineffective for predicting their acoustic activity. This limitation is addressed in the present study by employing augmented asymptotic homogenization to derive a couple‐stress‐based effective medium, enabling accurate predictions in the ...
Shahin Eskandari, Wanmin Xu, Slight Chen, Bilen Emek Abali, Valérie Orsat, Abdolhamid Akbarzadeh   +5 more
wiley   +1 more source

On the Rigidity and Mechanical Behavior of Triply Periodic Minimal Surfaces‐Based Lattices: Insights from Extensive Experiments and Simulations

Advanced Engineering Materials, EarlyView.
This study examines the mechanical properties of triply periodic minimal surfaces (TPMS)‐based lattices, analyzing 36 architectures in elastic and plastic regimes. It evaluates the applicability of beam‐based scaling laws to TPMS lattices. Rigidity arises from the alignment of members with the load direction and solid regions preventing rotation.
Lucía Doyle, Humberto Terrones, Carlos González   +2 more
wiley   +1 more source