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On the computational complexity of the Jones and Tutte polynomials
- F. Jaeger, D. Vertigan, D. Welsh
- MathematicsMathematical Proceedings of the Cambridge…
- 1 July 1990
Abstract We show that determining the Jones polynomial of an alternating link is #P-hard. This is a special case of a wide range of results on the general intractability of the evaluation of the…
First-Passage Percolation, Subadditive Processes, Stochastic Networks, and Generalized Renewal Theory
- J. Hammersley, D. Welsh
- Mathematics
- 1965
In 1957, Broadbent and Hammersley gave a mathematical formulation of percolation theory. Since then much work has been done in this field and has now led to first-passage percolation problems. In the…
A Spectral Technique for Coloring Random 3-Colorable Graphs
- D. Welsh
- Mathematics
- 1994
18 until the number of vertices left is O(n=d), and color the remaining vertices in an arbitrary manner. 7. The existence of an approximation algorithm based on the spectral method for coloring…
Percolation probabilities on the square lattice
- P. Seymour, D. Welsh
- Mathematics
- 1978
Complexity: Knots, Colourings and Counting
- D. Welsh
- Mathematics
- 1993
1. The complexity of enumeration 2. Knots and links 3. Colourings, flows and polynomials 4. Statistical physics 5. Link polynomials 6. Complexity questions 7. The complexity of uniqueness and parity…
FURTHER RESULTS ON THE RATE OF CONVERGENCE TO THE CONNECTIVE CONSTANT OF THE HYPERCUBICAL LATTICE
- J. Hammersley, D. Welsh
- Mathematics
- 1962
The Tutte polynomial
- D. Welsh
- MathematicsRandom Struct. Algorithms
- 1 October 1999
TLDR
A weighted graph polynomial from chromatic invariants of knots
- S. D. Noble, D. Welsh
- Mathematics
- 1999
© Annales de l’institut Fourier, 1999, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditions…
Random planar graphs
- C. McDiarmid, A. Steger, D. Welsh
- Mathematics, Computer ScienceJ. Comb. Theory, Ser. B
- 1 March 2005
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