Recent Issues
Volume 26, 8 issues
Volume 26
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1
A Altshuler ,
Polyhedral
realization in R 3 of triangulations of the torus and
2 –manifolds in cyclic 4 –polytopes , Discrete Math. 1
(1971/1972) 211 MR0287431
2
A Altshuler ,
Combinatorial
3 –manifolds with few
vertices , J. Combinatorial Theory Ser. A 16 (1974) 165
MR0346797
3
D Archdeacon ,
C P Bonnington , J A Ellis-Monaghan ,
How to
exhibit toroidal maps in space , Discrete Comput. Geom.
38 (2007) 573 MR2352708
4
J Bokowski ,
On
heuristic methods for finding realizations of surfaces ,
from: "Discrete differential geometry" (editors A I
Bobenko, P Schröder, J M Sullivan, G M Ziegler),
Oberwolfach Semin. 38, Birkhäuser (2008) 255 MR2405670
5
J Bokowski , U
Brehm , A new polyhedron of genus 3 with 10
vertices , from: "Intuitive geometry" (editors K Böröczky, G
Fejes Tóth), Colloq. Math. Soc. János Bolyai 48, North-Holland
(1987) 105 MR910704
6
J Bokowski , A
Eggert ,
Toutes les réalisations du tore de Möbius avec sept
sommets , Structural Topology (1991) 59 MR1140405
7
M Bucher , R
Frigerio , C Pagliantini , The simplicial volume
of 3 –manifolds with
boundary , J. Topol. 8 (2015) 457 MR3356768
8
B A Burton ,
Face
pairing graphs and 3 –manifold
enumeration , J. Knot Theory Ramifications 13 (2004)
1057 MR2108649
9
B A Burton ,
Enumeration of
non-orientable 3 –manifolds using
face-pairing graphs and union-find , Discrete Comput.
Geom. 38 (2007) 527 MR2352707
10
B A Burton , R
Budney , W Petterson , Regina : Software for 3 –manifold topology and normal surface
theory
11
B A Burton , A
Coward , S Tillmann , Computing closed
essential surfaces in knot complements , from:
"Computational geometry", ACM (2013) 405 MR3208239
12
B A Burton , M
Ozlen , A tree traversal
algorithm for decision problems in knot theory and 3 –manifold topology , Algorithmica 65
(2013) 772 MR3018150
13
B A Burton , J
Paixão , J Spreer , Computational
Topology and Normal Surfaces: Theoretical and Experimental
Complexity Bounds , from: "Proceedings of the Meeting on
Algorithm Engineering & Expermiments", SIAM (2013) 78
14
D Cooper , S
Tillmann , The Thurston norm
via normal surfaces , Pacific J. Math. 239 (2009) 1
MR2449008
15
Á Császár , A
polyhedron without diagonals , Acta Univ. Szeged. Sect. Sci.
Math. 13 (1949) 140 MR0035029
16
R A Duke ,
Geometric
embedding of complexes , Amer. Math. Monthly 77 (1970)
597 MR0264670
17
F Effenberger , J
Spreer , simpcomp
18
R Frigerio , B
Martelli , C Petronio , Complexity and
Heegaard genus of an infinite class of compact 3 –manifolds , Pacific J. Math. 210
(2003) 283 MR1988535
19
B Grünbaum ,
Convex
polytopes , 221, Springer (2003) MR1976856
20
W Haken , Theorie der
Normalflächen , Acta Math. 105 (1961) 245 MR0141106
21
W Haken , Über das
Homöomorphieproblem der 3 –Mannigfaltigkeiten, I , Math. Z. 80
(1962) 89 MR0160196
22
J Hass , J C
Lagarias , N Pippenger , The computational
complexity of knot and link problems , J. ACM 46 (1999)
185 MR1693203
23
G Hemion , On the classification of
homeomorphisms of 2 –manifolds and
the classification of 3 –manifolds , Acta Math. 142 (1979) 123
MR512214
24
S Hougardy ,
F H Lutz , M Zelke , Surface
realization with the intersection segment functional ,
Experiment. Math. 19 (2010) 79 MR2649986
25
W Jaco , U
Oertel , An algorithm
to decide if a 3 –manifold is a
Haken manifold , Topology 23 (1984) 195 MR744850
26
W Jaco , H
Rubinstein , S Tillmann , Minimal
triangulations for an infinite family of lens spaces ,
J. Topol. 2 (2009) 157 MR2499441
27
W Jaco , J H
Rubinstein , 0 –efficient triangulations of 3 –manifolds , J. Differential Geom. 65
(2003) 61 MR2057531
28
W Jaco , J H
Rubinstein , Inflations of
ideal triangulations , Adv. Math. 267 (2014) 176
MR3269178
29
W Jaco , J H
Rubinstein , S Tillmann , Coverings and
minimal triangulations of 3 –manifolds , Algebr. Geom. Topol. 11
(2011) 1257 MR2801418
30
T Kalelkar ,
Euler
characteristic and quadrilaterals of normal surfaces ,
Proc. Indian Acad. Sci. Math. Sci. 118 (2008) 227 MR2423235
31
H Kneser ,
Geschlossene Flächen in dreidimensionalen
Mannigfaltigkeiten , Jahresber. Dtsch. Math.-Ver. 38
(1929) 248
32
F Luo , S
Tillmann , A new combinatorial class of 3 –manifold triangulations , preprint (2015)
arXiv:1312.5087v2
33
F H Lutz ,
The Manifold
Page , electronic resource
34
F H Lutz ,
Enumeration
and random realization of triangulated surfaces , from:
"Discrete differential geometry" (editors A I Bobenko, P
Schröder, J M Sullivan, G M Ziegler), Oberwolfach
Semin. 38, Birkhäuser (2008) 235 MR2405669
35
S V Matveev ,
Complexity
theory of three-dimensional manifolds , Acta Appl. Math.
19 (1990) 101 MR1074221
36
S V Matveev ,
Algorithmic
topology and classification of 3 –manifolds , 9, Springer (2003)
MR1997069
37
P McMullen , C
Schulz , J M Wills , Polyhedral 2 –manifolds in E 3 with
unusually large genus , Israel J. Math. 46 (1983) 127
MR727027
38
G Ringel , Map color
theorem , 209, Springer (1974) MR0349461
39
J H Rubinstein ,
An
algorithm to recognize the 3 –sphere , from: "Proceedings of the
International Congress of Mathematicians, Volume 1" (editor
S D Chatterji), Birkhäuser (1995) 601 MR1403961
40
J H Rubinstein ,
Polyhedral minimal surfaces, Heegaard splittings and
decision problems for 3 –dimensional
manifolds , from: "Geometric topology" (editor W H
Kazez), AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 1
MR1470718
41
L Schewe , Nonrealizable
minimal vertex triangulations of surfaces: showing
nonrealizability using oriented matroids and satisfiability
solvers , Discrete Comput. Geom. 43 (2010) 289 MR2579697
42
J Spreer , Normal surfaces
as combinatorial slicings , Discrete Math. 311 (2011)
1295 MR2795540
43
E Steinitz ,
Über die Eulerschen Polyederrelationen , Arch. der Math.
u. Phys. 11 (1906) 86
44
A Thompson ,
Thin
position and the recognition problem for S 3 , Math. Res. Lett. 1 (1994) 613
MR1295555
45
S Tillmann ,
Normal
surfaces in topologically finite 3 –manifolds , Enseign. Math. 54 (2008)
329 MR2478091
46
J L Tollefson ,
Normal
surface Q –theory , Pacific
J. Math. 183 (1998) 359 MR1625962
47
A Y Vesnin ,
E A Fominykh , Exact values of
the complexity of Paoluzzi–Zimmermann manifolds , Dokl.
Akad. Nauk 439 (2011) 727 MR2883799
48
G M Ziegler ,
Polyhedral
surfaces of high genus , from: "Discrete differential
geometry" (editors A I Bobenko, P Schröder, J M
Sullivan, G M Ziegler), Oberwolfach Semin. 38, Birkhäuser
(2008) 191 MR2405667