Results 31 to 40 of about 65,390 (252)
Compact Drawings of 1-Planar Graphs with Right-Angle Crossings and Few Bends
We study the following classes of beyond-planar graphs: 1-planar, IC-planar, and NIC-planar graphs. These are the graphs that admit a 1-planar, IC-planar, and NIC-planar drawing, respectively.
C Bachmaier +13 more
core +1 more source
A new experimental setup, incorporating digital image correlation and infrared thermography in combination with inductive‐conductive heating for precise temperature control, is used to analyze the mechanical behavior and microstructural changes of sheet metal under complex thermomechanical test conditions that represent quench and partitioning ...
Christian Illgen +4 more
wiley +1 more source
A Universal Point Set for 2-Outerplanar Graphs
A point set $S \subseteq \mathbb{R}^2$ is universal for a class $\cal G$ if every graph of ${\cal G}$ has a planar straight-line embedding on $S$. It is well-known that the integer grid is a quadratic-size universal point set for planar graphs, while the
C Binucci +8 more
core +1 more source
Visibility Graphs, Dismantlability, and the Cops and Robbers Game [PDF]
We study versions of cop and robber pursuit-evasion games on the visibility graphs of polygons, and inside polygons with straight and curved sides. Each player has full information about the other player's location, players take turns, and the robber is ...
Lubiw, Anna +2 more
core +3 more sources
The utilization of direct energy deposition (DED)‐arc additive manufacturing processes in industrial applications is increasing, and these processes have the potential for multi‐material applications. This work provides a overview of the state of research in DED‐arc made functional graded structures, to establish a link to potential industrial ...
Kai Treutler, Volker Wesling
wiley +1 more source
Transforming planar graph drawings while maintaining height [PDF]
There are numerous styles of planar graph drawings, notably straight-line drawings, poly-line drawings, orthogonal graph drawings and visibility representations.
Biedl, Therese
core
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 Complexity of Drawing Graphs on Few Lines and Few Planes
It is well known that any graph admits a crossing-free straight-line drawing in $\mathbb{R}^3$ and that any planar graph admits the same even in $\mathbb{R}^2$. For a graph $G$ and $d \in \{2,3\}$, let $\rho^1_d(G)$ denote the minimum number of lines in $
D Bienstock +17 more
core +1 more source
Upward Three-Dimensional Grid Drawings of Graphs [PDF]
A \emph{three-dimensional grid drawing} of a graph is a placement of the vertices at distinct points with integer coordinates, such that the straight line segments representing the edges do not cross. Our aim is to produce three-dimensional grid drawings
A. Garg +27 more
core +3 more sources
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

