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FCT
2007
Springer
13 years 11 months ago
Factorisation Forests for Infinite Words
The theorem of factorisation forests shows the existence of nested factorisations -- a la Ramsey -- for finite words. This theorem has important applications in semigroup theory, a...
Thomas Colcombet
CORR
2007
Springer
127views Education» more  CORR 2007»
13 years 7 months ago
Using decision problems in public key cryptography
There are several public key establishment protocols as well as complete public key cryptosystems based on allegedly hard problems from combinatorial (semi)group theory known by no...
Vladimir Shpilrain, Gabriel Zapata
AAECC
2006
Springer
125views Algorithms» more  AAECC 2006»
13 years 7 months ago
Combinatorial Group Theory and Public Key Cryptography
Abstract. After some excitement generated by recently suggested public key exchange protocols due to Anshel-Anshel-Goldfeld and Ko-Lee et al., it is a prevalent opinion now that th...
Vladimir Shpilrain, Gabriel Zapata
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
11 years 10 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh
TSMC
2008
122views more  TSMC 2008»
13 years 7 months ago
A Geometric Approach to the Theory of Evidence
In this paper, we propose a geometric approach to the theory of evidence based on convex geometric interpretations of its two key notions of belief function (b.f.) and Dempster...
Fabio Cuzzolin