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We devise a framework for proving tight lower bounds under the counting exponential-time hypothesis #ETH introduced by Dell et al.
The complexity of computing the permanent
Leslie G. Valiant · 1979
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The Tutte polynomial, matroid theory and its applications
Thomas Brylawski · 1982
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Hard enumeration problems in geometry and combinatorics
Nathan Linial · 1986
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Relations among Mod-classes
Ulrich Hertrampf · 1990
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On the computational complexity of the Jones and Tutte polynomials
François Jaeger, Dirk L. Vertigan, and Dominic J.A. Welsh · 1990
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Approximating the permanent of graphs with large factors
Paul Dagum and Michael Luby · 1992
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On the complexity of k k -SAT
Russel Impagliazzo and Ramamohan Paturi · 2001
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Which problems have strongly exponential complexity?
Russell Impagliazzo, Ramamohan Paturi, and Francis Zane · 2001
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The complexity of counting in sparse, regular, and planar graphs
Salil P. Vadhan · 2001
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A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries
Mark Jerrum, Alistair Sinclair, and Eric Vigoda · 2004
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Matrix Analysis For Scientists And Engineers
Alan J. Laub · 2004
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The independence polynomial of a graph - a survey
Vadim E. Levit and Eugen Mandrescu · 2005
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The multivariate Tutte polynomial (alias Potts model) for graphs and matroids
Alan D. Sokal · 2005
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Accidental algorithms
Leslie G. Valiant · 2006
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Complexity of the cover polynomial
Markus Bläser and Holger Dell · 2007
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The complexity of the counting constraint satisfaction problem
Andrei A. Bulatov · 2008
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Inapproximability of the Tutte polynomial
The complexity of the cover polynomials for planar graphs of bounded degree
Markus Bläser and Radu Curticapean · 2011
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Dichotomy for Holant* problems of boolean domain
Jin-yi Cai, Pinyan Lu, and Mingji Xia · 2011
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Complexity of counting CSP with complex weights
Jin-Yi Cai and Xi Chen · 2012
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The exponential time hypothesis and the parameterized clique problem
Yijia Chen, Kord Eickmeyer, and Jörg Flum · 2012
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Exponential time complexity of the permanent and the Tutte polynomial
Holger Dell, Thore Husfeldt, Dániel Marx, Nina Taslaman, and Martin Wahlen · 2014
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The complexity of computing the sign of the Tutte polynomial
Leslie Ann Goldberg and Mark Jerrum · 2014
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Leslie Ann Goldberg and Mark Jerrum · 2008
Cited alongside, same era.
Holographic algorithms
Leslie G. Valiant · 2008
Cited alongside, same era.
A computational proof of complexity of some restricted counting problems
Jin-yi Cai, Pinyan Lu, and Mingji Xia · 2009
Cited alongside, same era.
Parameterized and Exact Computation - 5th International Symposium, IPEC 2010, Chennai, India, December 13-15, 2010. Proceedings
Venkatesh Raman and Saket Saurabh, editors · 2010
Cited alongside, same era.
Exponential time complexity of weighted counting of independent sets
Christian Hoffmann
Cited in the paper.
The exponential time complexity of computing the probability that a graph is connected
Thore Husfeldt and Nina Taslaman
Cited in the paper.
The simple, little and slow things count: on parameterized counting complexity
Radu Curticapean · 2015
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Fine-grained dichotomies for the Tutte plane and Boolean #CSP
Cornelius Brand, Holger Dell, and Marc Roth · 2016
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A complete dichotomy rises from the capture of vanishing signatures
Jin-Yi Cai, Heng Guo, and Tyson Williams · 2016
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On problems as hard as CNF-SAT
Marek Cygan, Holger Dell, Daniel Lokshtanov, Dániel Marx, Jesper Nederlof, Yoshio Okamoto, Ramamohan Paturi, Saket Saurabh, and Magnus Wahlström · 2016
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