Results 71 to 80 of about 975,712 (248)

An algorithm of graph planarity testing and cross minimization [PDF]

open access: yesComputer Science Journal of Moldova, 2007
This paper presents an overview on one compartment from the graph theory, called graph planarity testing. It covers the fundamental concepts and important work in this area.
Vitalie Cotelea, Stela Pripa
doaj  

On the Circumference of Essentially 4-connected Planar Graphs

open access: yesJournal of Graph Algorithms and Applications, 2020
A planar graph is essentially $4$-connected if it is 3-connected and every of its 3-separators is the neighborhood of a single vertex. Jackson and Wormald proved that every essentially 4-connected planar graph $G$ on $n$ vertices contains a cycle of ...
Igor Fabrici   +3 more
doaj   +1 more source

Investigating the Effect of Inclination Angle and the Influence of Scan Parameters on the Appearance and Thermal and Mechanical Properties of Filigree Tension Rods of LPBF‐Manufactured NiTi Shape‐Memory Alloys

open access: yesAdvanced Engineering Materials, EarlyView.
This article investigates the dependence of the properties on the manufacturing orientation in the form of the inclination angle to the build plate of LPBF‐fabricated NiTi rods with a diameter of 150–220 µm. Metallographic, chemical, thermal, and mechanical characterization show behavior under identical manufacturing conditions that ranges from ...
Sandra Herzig   +2 more
wiley   +1 more source

Planar Graph Classifier - Scripting

open access: yes, 2022
All python scripts used in the Planar Graph Classifier ...
Hummel, Matthias
core   +1 more source

The Role of Ultra‐Thin Passive Films and Organic Adsorbates on Aluminum Chips for a Friction‐Induced Solid‐State Recycling Process

open access: yesAdvanced Engineering Materials, EarlyView.
Despite benefits to storage stability and handleability of aluminum scrap, octadecyl phosphonic acid (ODPA) SAMs reduce the tensile strength of wires produced using friction‐induced recycling. Etching and methyl diphosphonic acid (MDPA) coatings, however, have little effect.
Timothy D. Goller   +3 more
wiley   +1 more source

Beyond Outerplanarity

open access: yesComputing in Geometry and Topology
We study straight-line drawings of graphs where the vertices are placed in convex position in the plane, i.e., convex drawings. We consider two families of graph classes with convex drawings: outer $k$-planar graphs, where each edge is crossed by at ...
Steven Chaplick   +4 more
doaj   +1 more source

Geometric RAC Simultaneous Drawings of Graphs

open access: yesJournal of Graph Algorithms and Applications, 2013
In this paper, we study the geometric RAC simultaneous drawing problem: Given two planar graphs that share a common vertex set, a geometric RAC simultaneous drawing is a straight-line drawing in which each graph is drawn planar, there are no edge ...
Evmorfia Argyriou   +3 more
doaj   +1 more source

Microstructural, Mechanical, and Textural Evolution of Dissimilar Combination of Laser‐Welded Maraging Steel and 4340 Steel

open access: yesAdvanced Engineering Materials, EarlyView.
The present work reports the microstructural, mechanical, and texture evolution of a dissimilar combination laser‐welded maraging steel with 4340 steel. This is important for aerospace applications. The demand for dissimilar welding is growing rapidly with the requirement of efficient and durable joints.
Bharat Behl   +3 more
wiley   +1 more source

Subdivisions in Planar Graphs

open access: yesJournal of Combinatorial Theory, Series B, 1998
Given four distinct vertices in a 4-connected planar graph \(G\), we characterize when the graph \(G\) contains a \(K_4\)-subdivision with the given vertices as its degree three vertices. This result implies the following conjecture of Robertson and Thomas: a 5-connected planar graph has no \(K_4\)-subdivision with specified degree three vertices, if ...
openaire   +2 more sources

Planar CPG graphs

open access: yesCoRR, 2018
We show that for any $k \geq 0$, there exists a planar graph which is $B_{k+1}$-CPG but not $B_k$-CPG. As a consequence, we obtain that $B_k$-CPG is a strict subclass of $B_{k+1}$-CPG.
Nicolas Champseix   +2 more
openaire   +3 more sources

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