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1
C Adams , O
Capovilla-Searle , J Freeman , D Irvine , S
Petti , D Vitek , A Weber , S Zhang ,
Bounds
on übercrossing and petal numbers for knots , J. Knot
Theory Ramifications 24 (2015) MR3334663
2
C Adams , T
Crawford , B DeMeo , M Landry , A T
Lin , M Montee , S Park , S Venkatesh ,
F Yhee , Knot projections
with a single multi-crossing , J. Knot Theory
Ramifications 24 (2015) MR3342136
3
C Adams , G
Kehne , Bipyramid decompositions of multi-crossing link
complements , preprint (2016) arXiv:1610.03830
4
H Brunn ,
Über verknotete kurven , from: "Verhandlungen des ersten
internationalen Mathematiker-Kongresses" (editor F Rudio),
Teubner (1897) 256
5
H Chapman , Asymptotic laws for
random knot diagrams , J. Phys. A 50 (2017) MR3659108
6
S Chmutov , S
Duzhin , J Mostovoy , Introduction to
Vassiliev knot invariants , Cambridge Univ. Press (2012)
MR2962302
7
P R Cromwell ,
Arc presentations of
knots and links , from: "Knot theory" (editors
V F R Jones, J Kania-Bartoszyńska, J H
Przytycki, P Traczyk, V G Turaev), Banach Center Publ. 42,
Polish Acad. Sci. Inst. Math. (1998) 57 MR1634447
8
M Delbruck ,
Knotting problems in biology , (1961)
9
Y Diao , The knotting of
equilateral polygons in ℝ 3 , J. Knot Theory Ramifications 4
(1995) 189 MR1331746
10
Y Diao , N
Pippenger , D W Sumners , On random
knots , J. Knot Theory Ramifications 3 (1994) 419
MR1291869
11
N Dunfield ,
Random knots: a preliminary report , talk slides
(2014)
12
P Erdös , On a lemma of
Littlewood and Offord , Bull. Amer. Math. Soc. 51 (1945)
898 MR0014608
13
C Even-Zohar ,
Models
of random knots , J. Appl. Comput. Topol. 1 (2017)
263
14
C Even-Zohar ,
The writhe of
permutations and random framed knots , Random Structures
Algorithms 51 (2017) 121 MR3668848
15
C Even-Zohar , J
Hass , N Linial , T Nowik , Invariants of
random knots and links , Discrete Comput. Geom. 56
(2016) 274 MR3530968
16
H L Frisch , E
Wasserman , Chemical
topology , J. Amer. Chem. Soc. 83 (1961) 3789
17
G Kehne ,
Bipyramid decompositions of multi-crossing link
complements , Honors thesis, Williams College
(2016)
18
M G Kreĭn ,
A A Nudel’man , The Markov moment problem and
extremal problems , 417, Amer. Math. Soc. (1977) MR0458081
19
W B R
Lickorish , An introduction to
knot theory , 175, Springer (1997) MR1472978
20
K C Millett ,
Monte
Carlo explorations of polygonal knot spaces , from:
"Knots in Hellas ’98" (editors C Gordon, V F R Jones,
L H Kauffman, S Lambropoulou, J H Przytycki), Ser.
Knots Everything 24, World Sci. (2000) 306 MR1865714
21
N Pippenger ,
Knots
in random walks , Discrete Appl. Math. 25 (1989) 273
MR1026336
22
S Ross , A first
course in probability , Macmillan (1976) MR0380910
23
C E Soteros ,
D W Sumners , S G Whittington ,
Entanglement
complexity of graphs in ℤ 3 , Math. Proc. Cambridge Philos.
Soc. 111 (1992) 75 MR1131480
24
D W Sumners ,
S G Whittington , Knots in
self-avoiding walks , J. Phys. A 21 (1988) 1689 MR951053
25
D J A Welsh ,
On the number of knots and links , from: "Sets, graphs
and numbers" (editors G Halász, L Lovász, D Miklós, T Szőnyi),
Colloq. Math. Soc. János Bolyai 60, North-Holland (1992) 713
MR1218230