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» Some Group Theory Problems
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ICCS
2004
Springer
15 years 3 months ago
Graphical and Computational Representation of Groups
An important part of the computer science is focused on the links that can be established between group theory and graph theory. Cayley graphs can establish such a link but meet so...
Alain Bretto, Luc Gillibert
MOC
1998
93views more  MOC 1998»
14 years 9 months ago
Computing ray class groups, conductors and discriminants
We use the algorithmic computation of exact sequences of Abelian groups to compute the complete structure of (ZK /m)∗ for an ideal m of a number field K, as well as ray class gr...
Henri Cohen, Francisco Diaz y Diaz, Michel Olivier
ASPDAC
2005
ACM
97views Hardware» more  ASPDAC 2005»
14 years 11 months ago
Fast synthesis of exact minimal reversible circuits using group theory
- We present fast algorithms to synthesize exact minimal reversible circuits for various types of gates and costs. By reducing reversible logic synthesis problems to group theory p...
Guowu Yang, Xiaoyu Song, William N. N. Hung, Marek...
STOC
2009
ACM
156views Algorithms» more  STOC 2009»
15 years 10 months ago
Polynomial-time theory of matrix groups
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic questions about such groups are membership in and the order of the group. Even...
László Babai, Robert Beals, Á...
SIGECOM
2005
ACM
109views ECommerce» more  SIGECOM 2005»
15 years 3 months ago
Cost sharing in a job scheduling problem using the Shapley value
A set of jobs need to be served by a single server which can serve only one job at a time. Jobs have processing times and incur waiting costs (linear in their waiting time). The j...
Debasis Mishra, Bharath Rangarajan