scholarly journals Degree-regular triangulations of the double-torus

2006 ◽  
Vol 18 (6) ◽  
Author(s):  
Basudeb Datta ◽  
Ashish Kumar Upadhyay
Keyword(s):  
Double Torus

Minimal Decompositions of Complete Graphs into Subgraphs with Embeddability Properties

1969 ◽  
Vol 21 ◽  
pp. 992-1000 ◽  
Author(s):  
L. W. Beineke
Keyword(s):  
Projective Plane ◽  
Complete Graph ◽  
Planar Graphs ◽  
Complete Graphs ◽  
Minimum Number ◽  
Double Torus

Although the problem of finding the minimum number of planar graphs into which the complete graph can be decomposed remains partially unsolved, the corresponding problem can be solved for certain other surfaces. For three, the torus, the double-torus, and the projective plane, a single proof will be given to provide the solutions. The same questions will also be answered for bicomplete graphs.

scholarly journals Explorations in Nielsen periodic point theory for the double torus

1999 ◽  
Vol 95 (1) ◽  
pp. 1-30 ◽  
Author(s):  
Evelyn L. Hart ◽  
Edward C. Keppelmann
Keyword(s):  
Periodic Point ◽  
Point Theory ◽  
Double Torus

ERRATUM: "TURNING DOUBLE-TORUS LINKS INSIDE OUT"

2013 ◽  
Vol 22 (05) ◽  
pp. 1392002
Author(s):  
S. LANE ◽  
H. NORWOOD ◽  
R. NORWOOD
Keyword(s):  
Double Torus ◽  
Inside Out ◽  
Torus Links

The separation of $S^3$ by a double torus

1962 ◽  
Vol 29 (1) ◽  
pp. 1-4
Author(s):  
C. H. Edwards, Jr.
Keyword(s):  
Double Torus

Coloring of Triangle-Free Graphs on the Double Torus

2008 ◽  
Vol 22 (2) ◽  
pp. 541-553 ◽  
Author(s):  
Daniel Král' ◽  
Matěj Stehlík
Keyword(s):  
Double Torus

Trivial Double-Torus Knot

2003 ◽  
Vol 12 (05) ◽  
pp. 579-588
Author(s):  
Chuichiro Hayashi
Keyword(s):  
Heegaard Splitting ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Torus Knot ◽  
Genus Two ◽  
Double Torus ◽  
Necessary And Sufficient

A knot K in a closed connected orientable 3-manifold M is called a double-torus knot, if it is in a genus two Heegaard splitting surface H of M. We give a necessary and sufficient condition for a double-torus knot to be the trivial knot in words of meridian disks of genus two handlebodies obtained by splitting M along H.

The piotron at SIN-a large superconducting double torus spectrometer

1981 ◽  
Vol 17 (5) ◽  
pp. 1878-1881 ◽  
Author(s):  
I. Horvath ◽  
G. Vecsey ◽  
J. Zellweger
Keyword(s):  
Double Torus

scholarly journals Constraining the geometry of PSR J0855−4644: A nearby pulsar wind nebula with double torus/jet morphology

2017 ◽  
Vol 597 ◽  
pp. A75 ◽  
Author(s):  
C. Maitra ◽  
F. Acero ◽  
C. Venter
Keyword(s):  
Light Curve ◽  
Spatial Modelling ◽  
Beam Model ◽  
X Rays ◽  
X Ray ◽  
Compact Source ◽  
Pulsar Wind ◽  
Double Torus ◽  
Gap Models

Aims. PSR J0855−4644 is a fast-spinning, energetic pulsar discovered at radio wavelengths near the south-eastern rim of the supernova remnant RX J0852.0−4622. A follow-up XMM-Newton observation revealed the X-ray counterpart of the pulsar and a slightly asymmetric pulsar wind nebula, which suggests possible jet structures. Lying at a distance d ≤ 900 pc, PSR J0855−4644 is a pulsar with one of the highest Ė/d2 from which no GeV γ-ray pulsations have been detected. With a dedicated Chandra observation we aim to further resolve the possible jet structures of the nebula and study the pulsar geometry to understand the lack of γ-ray pulsations. Methods. We performed detailed spatial modelling to constrain the geometry of the pulsar wind nebula and in particular the pulsar line of sight (observer angle) ζPSR, which is defined as the angle between the direction of the observer and the pulsar spin axis. We also performed geometric radio and γ-ray light-curve modelling using a hollow-cone radio beam model together with two-pole caustic and outer gap models to further constrain ζPSR and the magnetic obliquity α defined as the angle between the magnetic and spin axes of the pulsar. Results. The Chandra observation reveals that the compact XMM source, thought to be the X-ray pulsar, can be further resolved into a point source surrounded by an elongated axisymmetric nebula with a longitudinal extent of 10′′. The pulsar flux represents only ~1% of the XMM compact source, and its spectrum is well described by a blackbody of temperature kT = 0.2 keV, while the surrounding nebula has a much harder spectrum (Γ = 1.1 for a power-law model). Assuming the origin of the extended emission is a double torus yields ζPSR = 32.5° ± 4.3°. The detection of thermal X-rays from the pulsar may point to a low value of | ζ−α | if this emission originates from a heated polar cap. Independent constraints from geometric light-curve modelling yield α ≲ 55° and ζ ≲ 55°, and 10° ≲ | ζ−α | ≲ 30°. A χ2 fit to the radio light curve yields a best fit at (α,ζPSR) = (22°,8°), with an alternative fit at (α,ζPSR) = (9°,25°) within 3σ. The lack of non-thermal X-ray emission from the pulsar further supports low values for α and ζ under the assumption that X-rays and γ-rays are generated in the same region of the pulsar magnetosphere. Such a geometry would explain, in the standard caustic pulsar model picture, the radio-loud and γ-ray-quiet behaviour of this high Ė/d2 pulsar.

TANGLE DECOMPOSITIONS OF DOUBLE TORUS KNOTS AND LINKS

1999 ◽  
Vol 08 (07) ◽  
pp. 931-939 ◽  
Author(s):  
MAKOTO OZAWA
Keyword(s):  
Torus Knots ◽  
Double Torus ◽  
Knots And Links

We characterize composite double torus knots and links, 2-string composite double torus knots.

SATELLITE DOUBLE TORUS KNOTS

2001 ◽  
Vol 10 (01) ◽  
pp. 133-142 ◽  
Author(s):  
MAKOTO OZAWA
Keyword(s):  
Torus Knots ◽  
Torus Knot ◽  
Double Torus

We characterize satellite double torus knots. Especially, if a satellite double torus knot is not a cable knot, then it has a torus knot companion. This answers Question 12 (a) raised by Hill and Murasugi in [4].

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