- Abstract:
-
We study the complexity of computing the coefficients of three classical polynomials, namely the chromatic, flow and reliability polynomials of a graph. Each of these is a specialization of the Tutte polynomial ∑tijxiyj. It is shown that, unless NP = RP, many of the relevant coefficients do not even have good randomized approximation schemes. We consider the quasi-order induced by approximation reducibility and highlight the pivotal position of the coefficient t10 = t01, otherwise known as th...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1017/S0963548302005175
-
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- Journal:
- COMBINATORICS PROBABILITY and COMPUTING
- Volume:
- 11
- Issue:
- 4
- Pages:
- 403-426
- Publication date:
- 2002-07-05
- DOI:
- EISSN:
-
1469-2163
- ISSN:
-
0963-5483
- URN:
-
uuid:ac77448c-7227-4b4f-aa2f-f6098a26a1ca
- Source identifiers:
-
17243
- Local pid:
- pubs:17243
- Language:
- English
- Copyright date:
- 2002
Journal article
Chromatic, flow and reliability polynomials: The complexity of their coefficients
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