Results 31 to 40 of about 6,072 (265)
DONALDSON–THOMAS INVARIANTS OF LOCAL ELLIPTIC SURFACES VIA THE TOPOLOGICAL VERTEX
Forum of Mathematics, Sigma, 2019 We compute the Donaldson–Thomas invariants of a local elliptic surface with section. We introduce a new computational technique which is a mixture of motivic and toric methods. This allows us to write the partition function for the invariants in terms of
JIM BRYAN, MARTIJN KOOL
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Vertex partition of hypergraphs and maximum degenerate subhypergraphs
Electronic Journal of Graph Theory and Applications, 2021 In 2007 Matamala proved that if G is a simple graph with maximum degree Δ ≥ 3 not containing KΔ+1 as a subgraph and s, t are positive integers such that s+t ≥ Δ, then the vertex set of G admits a partition (S,T) such that G[S] is a maximum order (s-1 ...
Thomas Schweser, Michael Stiebitz
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Partition dimension of trees - palm approach
Electronic Journal of Graph Theory and ApplicationsThe partition dimension of a graph is the minimum number of vertex partitions such that every vertex has different distances to the ordered partitions. Many resolving partitions for trees have all vertices not in an end-path in the same partition.
Yusuf Hafidh, Edy Tri Baskoro
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On some families of arbitrarily vertex decomposable spiders [PDF]
Opuscula Mathematica, 2010 A graph \(G\) of order \(n\) is called arbitrarily vertex decomposable if for each sequence \((n_1, ..., n_k)\) of positive integers such that \(\sum _{i=1}^{k} n_i = n\), there exists a partition \((V_1, ..., V_k)\) of the vertex set of \(G\) such that
Tomasz Juszczyk, Irmina A. Zioło
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Advanced Engineering Materials, EarlyView.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
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Embedding the dual complex of hyper-rectangular partitions
Journal of Computational Geometry, 2013 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
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The Locating Chromatic Number of Book Graph
Journal of Mathematics, 2021 Let G=VG,EG be a connected graph and c:VG⟶1,2,…,k be a proper k-coloring of G. Let Π be a partition of vertices of G induced by the coloring c. We define the color code cΠv of a vertex v∈VG as an ordered k-tuple that contains the distance between each ...
Nur Inayah +2 more
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Influence of Geometric Design on Mechanical Performance of Auxetic Metastructure
Advanced Engineering Materials, EarlyView.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
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Web construction of ABCDEFG and affine quiver gauge theories
Journal of High Energy Physics, 2019 The topological vertex formalism for 5d N $$ \mathcal{N} $$ = 1 gauge theories is not only a convenient tool to compute the instanton partition function of these theories, but it is also accompanied by a nice algebraic structure that reveals various ...
Taro Kimura, Rui-Dong Zhu
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Design and Analysis of Compression–Torsion Coupling Metamaterials Using the Golden Section Method
Advanced Engineering Materials, EarlyView.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
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