On SL(3,
                
                  
                
                $${\varvec{\mathbb {C}}}$$
                
                  
                    
                      C
                    
                  
                
              )-representations of the Whitehead link group

This note establishes a stronger version of a conjecture of Reid and others in the arithmetic case: if two elements of equal trace (e.g. conjugate elements) generate an arithmetic two-bridge knot or link group, then the elements are parabolic (and hence peripheral). This includes the figure-eight knot and Whitehead link groups. Similarly, if two conjugate elements generate the trefoil knot group, then the elements are peripheral.

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QoT-aware elastic bandwidth allocation and spare capacity assignment in flexible island-based optical transport networks under shared risk link group constraints

Computer Networks ◽

10.1016/j.comnet.2017.02.005 ◽

2017 ◽

Vol 116 ◽

pp. 111-140 ◽

Cited By ~ 1

Author(s):

Mohamed Koubàa ◽

Maroua Bakri ◽

Ammar Bouallègue ◽

Maurice Gagnaire

Keyword(s):

Bandwidth Allocation ◽

Transport Networks ◽

Spare Capacity ◽

Optical Transport Networks ◽

Link Group ◽

Capacity Assignment ◽

Optical Transport ◽

Shared Risk

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On the Seifert fibered space link group

Topology and its Applications ◽

10.1016/j.topol.2016.03.020 ◽

2016 ◽

Vol 206 ◽

pp. 255-275 ◽

Cited By ~ 7

Author(s):

Boštjan Gabrovšek ◽

Enrico Manfredi

Keyword(s):

Link Group

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COVERING PROPERTIES OF SMALL VOLUME HYPERBOLIC 3-MANIFOLDS

Journal of Knot Theory and Its Ramifications ◽

10.1142/s021821659800019x ◽

1998 ◽

Vol 07 (03) ◽

pp. 381-392 ◽

Cited By ~ 15

Author(s):

ALEXANDER MEDNYKH ◽

ANDREI VESNIN

Keyword(s):

Small Volume ◽

Whitehead Link ◽

Covering Properties

Closed hyperbolic 3-manifolds obtained by Dehn surgeries on the Whitehead link yield interesting examples of manifolds of small volume. In the present paper these manifolds are described as 2-fold coverings of the 3-sphere branched over 3-bridge links. As a corollary, maximally symmetric [Formula: see text]-manifolds of small volume are obtained.

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Link State Protocol Data Mining for Shared Risk Link Group Detection

2010 Proceedings of 19th International Conference on Computer Communications and Networks ◽

10.1109/icccn.2010.5560151 ◽

2010 ◽

Cited By ~ 4

Author(s):

G. Das ◽

D. Papadimitriou ◽

W. Tavernier ◽

D. Colle ◽

T. Dhaene ◽

...

Keyword(s):

Data Mining ◽

Link State ◽

Link Group ◽

Group Detection ◽

Shared Risk

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A family of two-generator non-Hopfian groups

International Journal of Algebra and Computation ◽

10.1142/s0218196717500321 ◽

2017 ◽

Vol 27 (06) ◽

pp. 655-675

Author(s):

Donghi Lee ◽

Makoto Sakuma

Keyword(s):

Continued Fraction ◽

Small Cancellation ◽

Continued Fraction Expansion ◽

Link Group

We construct [Formula: see text]-generator non-Hopfian groups [Formula: see text] where each [Formula: see text] has a specific presentation [Formula: see text] which satisfies small cancellation conditions [Formula: see text] and [Formula: see text]. Here, [Formula: see text] is the single relator of the upper presentation of the [Formula: see text]-bridge link group of slope [Formula: see text], where [Formula: see text] and [Formula: see text] in continued fraction expansion for every integer [Formula: see text].

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