Results 151 to 160 of about 1,555,658 (364)
Automorphisms of infinite Johnson graphs
We consider the {\it infinite Johnson graph} $J_{\infty}$ whose vertex set consists of all subsets $X\subset {\mathbb N}$ satisfying $|X|=|{\mathbb N}\setminus X|=\infty$ and whose edges are pairs of such subsets $X,Y$ satisfying $|X\setminus Y|=|Y\setminus X|=1$.
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3D‐Printed Architected Material for the Generation of Foam‐Based Protective Equipment
This study investigates 3D‐printed architected structures as alternatives to traditional foams in protective gear. It focuses on customizing impact strength and damping through design and manufacturing integration. Testing shows these structures outperform conventional foams, offering enhanced customizability, lower weight, and tunable performance ...
Ali Zolfagharian +5 more
wiley +1 more source
This work applies High‐Speed Nanoindentation to study multi‐material transitions in powder bed fusion–electron beam melting components. The aim is to assess the mechanical gradients and interfacial behavior between American iron and steel institute 316L stainless steel and V4E tool steel in additively manufactured structures.
Laia Ortiz‐Membrado +6 more
wiley +1 more source
The degree sets of connected infinite graphs [PDF]
Frank Harary, Egbert Harzheim
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A problem concerning infinite graphs
AbstractWe show that there are graphs G and H which satisfy: (I) for every integer n, H contains n disjoint graphs each isomorphic to G, and (II) H does not contain infinitely many disjoint graphs each isomorphic to G. This answers one of the questions raised by Halin in the Graph Theory Newsletter.
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This study explores the ablation efficiency and surface quality of laser‐treated stainless steel alloys (AISI 304, AISI 420, and AISI 316Ti) using an ultrashort pulsed laser and varying burst parameters (MHz, GHz, and Bi‐burst). Both ablation rates and surface quality parameters are determined, including isotropy surface roughness values, highlighting ...
Dirk Obergfell +2 more
wiley +1 more source
Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups
In this study, we work on the Fuchsian group Hm where m is a prime number acting on mℚ^ transitively. We give necessary and sufficient conditions for two vertices to be adjacent in suborbital graphs induced by these groups.
Khuanchanok Chaichana, Pradthana Jaipong
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Topological groups and infinite graphs
The author shows how structural properties of infinite, locally finite, vertex-symmetric graphs can be related to the structure of the automorphism groups of the graphs. After a brief introduction to the structure of topological groups, Section 3 is dedicated to a short proof of a result of \textit{V. I. Trofimov} [Math. USSR, Sb.
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Deformation Behavior of Optical Ceramic Nanomultilayers: The Role of Aperiodicity
Ceramic nanomultilayers demonstrate optical and mechanical behavior tunability through aperiodicity. Within the studied systems, optically optimized coatings exhibit an average ultraviolet, visible, and near‐infrared spectral transmittance above 90%.
Danielle E. White +5 more
wiley +1 more source
Decomposition of an infinite complete graph into complete bipartite subgraphs [PDF]
Bohdan Zelinka
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