Results 41 to 50 of about 3,864 (298)
Embedding the dual complex of hyper-rectangular partitions
A rectangular partition is the partition of an (axis-aligned) rectangle into interior-disjoint rectangles. We ask whether a rectangular partition permits a nice drawing of its dual, that is, a straight-line embedding of it such that each dual vertex is ...
Michael Kerber
doaj +1 more source
On the b-Domatic Number of Graphs
A set of vertices S in a graph G = (V, E) is a dominating set if every vertex not in S is adjacent to at least one vertex in S. A domatic partition of graph G is a partition of its vertex-set V into dominating sets. A domatic partition 𝒫 of G is called b-
Benatallah Mohammed +2 more
doaj +1 more source
Scandium (Sc)‐doped AlCoCrFeMo HEA coatings are fabricated via flame spraying with 0.1, 0.3, and 0.5 wt% Sc additions. Among these, the HEA‐Sc0.3 coating exhibits the highest corrosion resistance, indicated by a more positive corrosion potential and lower current density.
Pankaj Kumar +7 more
wiley +1 more source
A Set Partition Analog of the Erd os-Szekeres Theorem [PDF]
Permission to publish this work was granted by the author. The paper was submitted to the Archives on CD.The monotonic subsequence problem has been studied in depth.
Liu, Rui
core
Component order edge connectivity, vertex degrees, and integer partitions [PDF]
Given a finite, simple graph $G$, the $k$-component order edge connectivity of $G$ is the minimum number of edges whose removal results in a subgraph for which every component has order at most $k-1$.
Yatauro, Michael
core +1 more source
Three types of dual Grothendieck universal characters and integrable systems
We construct vertex operator realizations of the π-type dual Grothendieck universal characters with partitions π=(3),π=(2,1) and π=(13). Furthermore, these three types of dual Grothendieck universal characters are extended to their multiparameter ...
Jinzhou Liu, Denghui Li, Zhaowen Yan
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Influence of Geometric Design on Mechanical Performance of Auxetic Metastructure
Strategic geometric reinforcement transforms auxetic performance. This study evaluates 3D‐printed arrowhead metastructures, revealing that a modified design with local ring reinforcement suppresses premature failure to achieve superior energy absorption and structural efficiency.
Muhammad Gulzari +3 more
wiley +1 more source
Variations on Graph Products and Vertex Partitions [PDF]
In this thesis we investigate two graph products called double vertex graphs and complete double vertex graphs, and two vertex partitions called dominator partitions and rankings.
Jacob, Jobby
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Design and Analysis of Compression–Torsion Coupling Metamaterials Using the Golden Section Method
A novel compression–torsion metamaterial is engineered using inclined rods and symmetry breaking. To optimize its torsional performance, the golden section method is employed. The mechanical response of the metamaterial is validated through both numerical analysis and experimental validation.
Amirhossein Hassani, Sara Bagherifard
wiley +1 more source
New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design
This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare +5 more
wiley +1 more source

