scholarly journals Klein Bottle Routing: An Alternative to Onion Routing and Mix Network

2006 ◽  
pp. 296-309 ◽  
Author(s):  
Kun Peng ◽  
Juan Manuel Nieto ◽  
Yvo Desmedt ◽  
Ed Dawson
Keyword(s):  
Klein Bottle ◽  
Onion Routing

Onion Routing Access Configurations

2000 ◽  
Author(s):  
Paul F. Syverson ◽  
Michael G. Reed ◽  
David M. Goldschlag
Keyword(s):  
Onion Routing

scholarly journals Constructing the Graphs That Triangulate Both the Torus and the Klein Bottle

1999 ◽  
Vol 77 (1) ◽  
pp. 211-218 ◽  
Author(s):  
Serge Lawrencenko ◽  
Seiya Negami
Keyword(s):  
Klein Bottle

AUTOMORPHISMS OF BRAID GROUPS ON S2, T2, P2 AND THE KLEIN BOTTLE K

2008 ◽  
Vol 17 (01) ◽  
pp. 47-53 ◽  
Author(s):  
PING ZHANG
Keyword(s):  
Braid Group ◽  
Mapping Class Group ◽  
Class Group ◽  
Klein Bottle ◽  
Closed Surface ◽  
Group Extension ◽  
Braid Groups ◽  
Mapping Class ◽  
Group B ◽  
Central Automorphisms

It is shown that for the braid group Bn(M) on a closed surface M of nonnegative Euler characteristic, Out (Bn(M)) is isomorphic to a group extension of the group of central automorphisms of Bn(M) by the extended mapping class group of M, with an explicit and complete description of Aut (Bn(S2)), Aut (Bn(P2)), Out (Bn(S2)) and Out (Bn(P2)).

Enumeration of unsensed r-regular maps on the projective plane and the Klein bottle

2021 ◽  
Vol 344 (11) ◽  
pp. 112528
Author(s):  
Evgeniy Krasko ◽  
Alexander Omelchenko
Keyword(s):  
Projective Plane ◽  
Klein Bottle ◽  
Regular Maps

scholarly journals The 2-extendability of 5-connected graphs on the Klein bottle

2010 ◽  
Vol 310 (19) ◽  
pp. 2510-2518 ◽  
Author(s):  
Seiya Negami ◽  
Yusuke Suzuki
Keyword(s):  
Klein Bottle ◽  
Connected Graphs

scholarly journals DOUBLES OF KLEIN SURFACES

2012 ◽  
Vol 54 (3) ◽  
pp. 507-515
Author(s):  
ANTONIO F. COSTA ◽  
WENDY HALL ◽  
DAVID SINGERMAN
Keyword(s):  
Klein Bottle ◽  
Orientable Surface ◽  
Historical Note ◽  
Klein Surface ◽  
Klein Surfaces ◽  
Algebraic Functions ◽  
Genus 2

Historical note. A non-orientable surface of genus 2 (meaning 2 cross-caps) is popularly known as the Klein bottle. However, the term Klein surface comes from Felix Klein's book “On Riemann's Theory of Algebraic Functions and their Integrals” (1882) where he introduced such surfaces in the final chapter.

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