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Thesis

The complexity of counting problems

Abstract:

This thesis is concerned with the computational complexity of several counting problems occurring in graph theory, all of which are related directly to the Tutte polynomial. The Tutte polynomial contains as specialisations many fundamental quantities. Among these are the partition function of the Ising and Potts models on the graph and the reliability probability as well as basic combinatorial functions such as the chromatic and flow polynomials.

Polynomial-time computable recurrence...

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Institution:
University of Oxford
Division:
MPLS
Role:
Author

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Role:
Supervisor
Role:
Supervisor
Publication date:
1994
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Subjects:
UUID:
uuid:52070098-14fa-4cf1-ae6e-9f9ce6a626d8
Local pid:
td:603835633
Source identifiers:
603835633
Deposit date:
2012-05-08

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