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Testing Full Outer-2-planarity in Linear Time
[chapter]
2016
Lecture Notes in Computer Science
This paper considers the problem of testing 2-planarity of a graph, in particular,testing full outer-2planarity of a graph. ...
Based on these properties, we present a linear-time algorithm for testing fully outer-2-planarity of a graph G, where G is triconnected, biconnected and oneconnected. ...
There is a linear-time algorithm that tests whether a given graph is fully outer-2-planar, and produces a fully outer-2-planar embedding of the graph if it exists. ...
doi:10.1007/978-3-662-53174-7_29
fatcat:zoxr6flo2feflf4spugwo7gpym
Beyond Outerplanarity
[chapter]
2018
Lecture Notes in Computer Science
Thus, since outer k-planar graphs have bounded treewidth, closed outer k-planarity is linear-time testable by Courcelle's Theorem. ...
For each fixed k, these small balanced separators allow us to test outer k-planarity in quasi-polynomial time, i.e., none of these recognition problems are NP-hard unless ETH fails. ...
Closed outer k-planarity and closed outer k-quasi-planarity can be expressed in MSO 2 . Thus, closed outer k-planarity can be tested in linear time. ...
doi:10.1007/978-3-319-73915-1_42
fatcat:r523bjfdojbotfnm7pxuzkmvry
Beyond Outerplanarity
[article]
2017
arXiv
pre-print
Thus, closed outer k-planarity is linear-time testable by Courcelle's Theorem. ...
For fixed k, these small balanced separators allow us to obtain a simple quasi-polynomial time algorithm to test whether a given graph is outer k-planar, i.e., none of these recognition problems are NP-complete ...
Closed outer k-planarity and closed outer k-quasi-planarity can be expressed in MSO 2 . Thus, closed outer k-planarity can be tested in linear time. ...
arXiv:1708.08723v2
fatcat:4bj7qcxbyfdspj4wxlinj3vs5q
Shrinking the Search Space for Clustered Planarity
[chapter]
2013
Lecture Notes in Computer Science
While it is long known that planarity-i.e., drawability without edge crossingsof graphs can be tested in polynomial (linear) time, the complexity for the clustered case is still unknown. ...
Based thereon, we give new classes of polynomially testable graphs and a practically efficient exact planarity test for general clustered graphs based on an integer linear program. ...
We can test clustered planarity of C in linear time.
ILP and Experiments. We briefly recapitulate the ILP model of [2] , reduced to the special case of testing c-planarity. ...
doi:10.1007/978-3-642-36763-2_9
fatcat:prwhs7kambcnbd4hc4hrmk4bii
On the Recognition of Fan-Planar and Maximal Outer-Fan-Planar Graphs
2016
Algorithmica
In this paper, we present a polynomial-time algorithm to test whether a given graph is maximal outer-fan-planar. ...
A graph is outer-fan-planar if it has a fan-planar embedding in which every vertex is on the outer face. ...
It can be tested in linear time whether a graph is a complete 2-hop graph. ...
doi:10.1007/s00453-016-0200-5
fatcat:i357lisyqzgkdbt7a3cdy3uynm
On the Recognition of Fan-Planar and Maximal Outer-Fan-Planar Graphs
[chapter]
2014
Lecture Notes in Computer Science
In this paper, we present a polynomial-time algorithm to test whether a given graph is maximal outer-fan-planar. ...
Our main contribution is a polynomial time algorithm for the recognition of maximal outer-fan-planar graphs (Section 2). ...
It can be tested in linear time whether a graph is a complete 2-hop graph. ...
doi:10.1007/978-3-662-45803-7_17
fatcat:55ue3f7zqjb73hs22hkvx6ifg4
On drawing a graph convexly in the plane (extended abstract)
[chapter]
1995
Lecture Notes in Computer Science
We obtain a necessary and sufficient condition for the existence and a linear Mgorithm for the construction of such an extension. ...
Let G be a planar graph and H be a subgraph of G. Given any convex drawing of H, we investigate the problem of how to extend the drawing of H to a convex drawing of G. ...
Using the information obtained during the planarity testing, one can find in linear time a planar representation of the graph, if it is planar. ...
doi:10.1007/3-540-58950-3_358
fatcat:6mem7zatwvcotmuexbu6rjfdum
Bax, but not Bcl-xL, decreases the lifetime of planar phospholipid bilayer membranes at subnanomolar concentrations
1999
Proceedings of the National Academy of Sciences of the United States of America
We used planar phospholipid membranes to test the effect of full-length Bax and Bcl-x L synthesized in vitro and native Bax purified from bovine thymocytes. ...
Release of proteins through the outer mitochondrial membrane can be a critical step in apoptosis, and the localization of apoptosis-regulating Bcl-2 family members there suggests they control this process ...
USA 96 (1999)
FIG. 2 . 2 Effect of full-length Bax and Bcl-xL on planar phospholipid bilayer membranes. ...
doi:10.1073/pnas.96.10.5492
pmid:10318911
pmcid:PMC21887
fatcat:jjqsq7xagrf43aousd2fr2qjbq
A Contactless Planar Inductive Sensor for Absolute Angular Displacement Measurement
2021
IEEE Access
A prototype with 63 and 64 period sense channels was designed and developed for experiments, and test results show that it was finally examined with short-period error of 14.7" and full range error of ...
Copper pieces on the rotor PCB produce eddy current in the time-varying magnetic field and alter the outputs of two sense channels of pickup coils cyclically with the rotor's rotation. ...
Full range error of outer sense channel in primary test
FIGURE 9 .FIGURE 10 . 910 FIGURE 9. ...
doi:10.1109/access.2021.3131344
fatcat:v3vjzcnqfjft3knou435jg5pkm
Radial Level Planarity with Fixed Embedding
2021
Journal of Graph Algorithms and Applications
We use these criteria to prove an "untangling" lemma that plays a key role in a simple level planarity test for the case where only the upward embedding is fixed. ...
These notions allow for increasing degrees of freedom in their corresponding drawings. For the fixed level embedding there are known and easy to test level planarity criteria. ...
Using Lemma 2 it can easily be tested in cubic time whether a (radial) level embedding is (radial) level planar. In Section 4, we improve this to linear time, see Lemma 4. ...
doi:10.7155/jgaa.00561
fatcat:zp7agvrrqba7neeh4wfuofqu6i
Radial Level Planarity Testing and Embedding in Linear Time
2005
Journal of Graph Algorithms and Applications
Our main results are linear time algorithms for radial level planarity testing and for computing a radial level planar embedding. ...
Our algorithms extend level planarity testing and embedding algorithms, which use PQ-trees. ...
Conclusion We have presented new linear time algorithms for testing radial level planarity and computing radial level planar embeddings. ...
doi:10.7155/jgaa.00100
fatcat:m4tzbflm45bc3pt6mwnqydtx6q
Radial Level Planarity Testing and Embedding in Linear Time
[chapter]
2004
Lecture Notes in Computer Science
Our main results are linear time algorithms for radial level planarity testing and for computing a radial level planar embedding. ...
Our algorithms extend level planarity testing and embedding algorithms, which use PQ-trees. ...
Conclusion We have presented new linear time algorithms for testing radial level planarity and computing radial level planar embeddings. ...
doi:10.1007/978-3-540-24595-7_37
fatcat:7rm6x3xsdjeozojcxqalvkrooi
Silicon pixel-detector R&D for CLIC
2016
Journal of Instrumentation
with air-flow cooling in the inner vertex region) and pulsed power operation, complemented with ∼ 10 ns time stamping capabilities. ...
Recent R&D achievements include results from beam tests with all types of hybrid assemblies. ...
Acknowledgments The author would like to thank Jacobus Van Hoorne, Krzysztof Sielewicz and Walter Snoeys from the ALICE collaboration for providing the Investigator readout system and sharing the chips during the test ...
doi:10.1088/1748-0221/11/11/c11039
fatcat:mueevkmnxvfi3fl2vaxxznwcia
UNDISTORTED FROUDE MODEL FOR SURF ZONE SEDIMENT TRANSPORT
1986
Coastal Engineering Proceedings
It appears that the initially planar profile unrealistically affects the breaker type and results in a more pronounced longshore bar and offshore slopes that are steeper than found in nature. ...
Tests conducted to evaluate the criterion separating onshore-offshore transport suggested a higher value of the fall time parameter, H/wT, than was originally proposed by Dean (1973); this is interpreted ...
The results corresponding to various elapsed times for the erosive case are shown in Prototype Results Refer to Saville's (1957) Large-Scale Wave Tank Tests. Initial Planar Profile of 1:15 Slope. ...
doi:10.9753/icce.v20.95
fatcat:fvpvas3hvrh75gay7quo7nxtjm
Finding Tutte Paths in Linear Time
2019
International Colloquium on Automata, Languages and Programming
This allows us to find some applications of Tutte paths (such as binary spanning trees and 2-walks) in linear time as well. ...
In this paper, we give a new proof that 3-connected planar graphs have Tutte paths, which leads to a linear-time algorithm to find Tutte paths. ...
With this, we can also find 2-walks and binary spanning trees in 3-connected planar graphs in linear time. ...
doi:10.4230/lipics.icalp.2019.23
dblp:conf/icalp/BiedlK19
fatcat:uugypmednbh3xefy7s444xdmj4
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