Geometric Biplane Graphs II: Graph Augmentation [PDF]
We study biplane graphs drawn on a finite point set $S$ in the plane in general position. This is the family of geometric graphs whose vertex set is $S$ and which can be decomposed into two plane graphs. We show that every sufficiently large point set admits a 5-connected biplane graph and that there are arbitrarily large point sets that do not admit ...
Hurtado Díaz, Fernando Alfredo +7 more
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Geometric Biplane Graphs I: Maximal Graphs [PDF]
We study biplane graphs drawn on a finite planar point set $S$ in general position. This is the family of geometric graphs whose vertex set is $S$ and can be decomposed into two plane graphs. We show that two maximal biplane graphs---in the sense that no edge can be added while staying biplane---may differ in the number of edges, and we provide an ...
Garcia Olaverri, Alfredo Martin +7 more
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Spectral characterization of a graph on the flags of the eleven point biplane [PDF]
We characterize a 55-point graph by its spectrum $ 4^1, (-2)^{10}, (-1 \pm \sqrt{3})^{10}, ((3 \pm \sqrt{5})/2)^{12} $. No interlacing is used: examination of tr A^m for m = 7 together with study of the representation in the eigenspace for the eigenvalue -2 suffices.
Blokhuis, A., Brouwer, A.E.
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3D reconstruction of coronary artery bifurcations from intravascular ultrasound and angiography. [PDF]
Wu W +10 more
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A machine learning-based score for precise echocardiographic assessment of cardiac remodelling in hypertensive young adults. [PDF]
Alsharqi M +12 more
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Anterior Cruciate Ligament Bundles Elongation Patterns During Fast Running and Single-Leg Drop Landing: An In Vivo Biplane Radiography Study. [PDF]
Kamada K +4 more
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Prognostic value of <sup>68</sup>Ga-DOTATATE PET/CT in assessing cardiac involvement in autoimmune diseases: a prospective study. [PDF]
Lin X +9 more
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Right Atrial Contraction Strain Is Associated With Clinically Significant Cellular Rejection in Patients After Heart Transplantation. [PDF]
Rieth AJ +8 more
europepmc +1 more source
Elucidating the Histone Deacetylase Gene Expression Signatures in Peripheral Blood Mononuclear Cells That Correlate Essential Cardiac Function and Aid in Classifying Coronary Artery Disease through a Logistic Regression Model. [PDF]
Monisha K +6 more
europepmc +1 more source
Evaluating Extended Field of View Imaging for Measuring Rectal Tumor Lowest Boundary to Anal Verge Distance via Transrectal Biplane Ultrasound. [PDF]
Zhang Y +5 more
europepmc +1 more source

