In computational complexity theory, the exponential time hypothesis is an unproven computational hardness assumption that was formulated by Impagliazzo...

is equivalent to the hypothesis that kSAT cannot be solved in time 2o(m) for any integer k ≥ 3. The exponential time hypothesis implies P ≠ NP. An algorithm...

^{2}m)} variables, which requires time exponential in the number of variables according to the exponential time hypothesis. Papadimitriou, Christos H.; Yannakakis...

problem Unique games conjecture Is the exponential time hypothesis true? Is the strong exponential time hypothesis (SETH) true? Do one-way functions exist...

Furthermore, even for incomparable problems, an assumption like the exponential time hypothesis is often considered preferable to an average-case assumption...

strong exponential time hypothesis, repeated breadth-first search is near-optimal: this hypothesis implies that no algorithm can achieve time O ( n 2...

stating the exponential time hypothesis that 3-SAT cannot be solved in subexponential time in the number of variables, This hypothesis is used to deduce...

of Adam and Eve in the Bible. Seth may also refer to: Strong exponential time hypothesis Seth (given name) Seth (surname) Seth (cartoonist) Seth, Germany...

0 {\displaystyle \epsilon >0} cannot exist unless the Strong exponential time hypothesis fails. While the dynamic programming algorithm for DTW requires...

thermalization hypothesis Electric train heating Ethereum, a cryptocurrency Ethernet, in computer networking Engineering and Technology History Wiki Exponential time...

logarithm. Under the exponential time hypothesis, there exist natural problems that require quasi-polynomial time, and can be solved in that time, including finding...

reasonable complexity-theoretic assumptions, namely the exponential time hypothesis, the running time cannot be improved to 2o(k), even when n {\displaystyle...

that nondeterminism may produce exponential gains in time (as formalized in the unproven exponential time hypothesis), Savitch's theorem shows that it...

greater than zero unless the strong exponential time hypothesis is false. agrep Damerau–Levenshtein distance diff Dynamic time warping Euclidean distance Homology...

any ε > 0 {\displaystyle \varepsilon >0} , assuming the strong exponential time hypothesis. Cummings, Robert; Fahrbach, Matthew; Fatehpuria, Animesh (2021)...

small amount. In contrast, the exponential time hypothesis conjectures that for time complexity, there can be an exponential gap between deterministic and...

positivity testing is NP-hard. More precisely, assuming the exponential time hypothesis to be true, v ( n , d ) = 2 Ω ( n ) {\displaystyle v(n,d)=2^{\Omega...

|V(H)|O(k)-time algorithm cannot be lowered significantly: no algorithm with running time |V(H)|o(tw(G) /log tw(G)) exists, assuming the exponential time hypothesis...

the worst-case inference complexity is exponential in the treewidth k (under the exponential time hypothesis). Yet, as a global property of the graph...

although (assuming the exponential time hypothesis) the dependence on treewidth must be greater than singly exponential. When parameterized only by the Grundy...

set in time polynomial in the graph size and exponential in O ( t log ⁡ t ) {\displaystyle O(t\log t)} . Under the exponential time hypothesis, no better...

decide 3-SAT. The exponential time hypothesis asserts that no algorithm can solve 3-SAT (or indeed k-SAT for any k > 2) in exp(o(n)) time (that is, fundamentally...

showed that finding k-vertex cliques cannot be done in time no(k) unless the exponential time hypothesis fails. Again, this provides evidence that no fixed-parameter...

problems: basing hardness on popular conjectures such as the Strong Exponential Time Hypothesis", 10th International Symposium on Parameterized and Exact Computation...

statistical hypothesis test is a method of statistical inference used to decide whether the data provide sufficient evidence to reject a particular hypothesis. A...

et al., but it uses fewer random bits. In the context of the exponential time hypothesis, Calabro et al. (2008) prove an isolation lemma for k-CNF formulas...

if it does not have the order property. Under a form of the exponential time hypothesis, there is no fixed-parameter tractable algorithm for finding...

whose running time takes the form f(k)·nO(1). Even more strongly, W2SAT cannot be solved in time no(k) unless the exponential time hypothesis fails. As well...

ratio better than 5/4. Under the exponential time hypothesis, computing the twin-width requires time at least exponential in n / log ⁡ n {\displaystyle n/\log...

an algorithm for 4-coloring in time 2 o ( n ) {\displaystyle 2^{o(n)}} would contradict the exponential time hypothesis. The smallest graph that is not...