Random NP-Complete Problems and Phase Transitions
Numerical evidence for phase transitions of NP complete problems for instances drawn from Lévy stable distributions
... the phase transition of Hamiltonian Cycles drawn from the class of graphs whose degree sequence is chosen from a modified L´evy-Stable ...of phase transition appears to be Gumbel, as it is with Erd¨ ...
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Using Cloning to Solve NP Complete Problems
... an NP complete problem, is shown to belong to BPP C and BQP C (depending on the ability of the oracle C to clone either a binary random variable or a ...that NP ⊆ BPP C ⊆ BQP C and NP ⊆ ...
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Phase transitions for random geometric preferential attachment graphs
... The focus of the present paper is the complementary setting, in which the geometric component has a significant impact. We show that in the extreme case of a dominant geometric effect, the model behaves similarly to the ...
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A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
... When restricted to instances with no more than 20 bits, for which we are able to simulate the quantum algorithm, classical search algorithms like GSAT [10] perform well on usa instances, or on instances with the number ...
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Living on the edge : phase transitions in convex programs with random data
... 10.1.2. Commentary. The analysis of structured inverse problems by means of polytope-angle computations has led to some striking conclusions, but this approach has inherent limitations. First, the method is ...
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Learning to Solve NP-Complete Problems: A Graph Neural Network for Decision TSP
... uniformly random dis- tance matrices: in the first distribution ...at random; in the second ...at random and then the metric property is enforced by replacing edge weights by the shortest path ...
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The phase transitions of the planar random-cluster and Potts models with q 1 are sharp
... The first condition is classical and also paramount for our approach, we could not hope to proceed without it. The second, also fairly classical, is necessary to prove the existence of infinite-volume random- ...
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The Approximability of NP-hard Problems
... every NP language has a verifier that uses O(log n) random bits, has log |Σ| = O(k) and soundness 2 −k ...is NP-complete and a verifier for any other lan- guage can transform the input to a 3SAT ...
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Application of the Random Phase Approximation to complex problems in materials science
... To understand phenomena such as lubrication, the function of carbon nan- otubes in biological media, or heterogeneous ice nucleation it is very important to explore the interaction of water with surfaces. Maybe the ...
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Phase transitions and the random cluster representation for Delaunay Potts models with geometry dependent interactions
... The next section focuses on a class of models where the background interac- tion is strictly positive for all long-range interactions. The benefit of this is that particles distributed according to such a model will have ...
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CiteSeerX — epsilon-Transformation: Exploiting Phase Transitions to Solve Combinatorial Optimization Problems
... search problems, from exponential to poly- nomial in the search ...a random tree model, we show that the expected number of nodes expanded by branch-and-bound (BnB) using -transformation is at most cubic ...
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Chapter 3. Phase transitions. 3.1 Introduction. 3.2 Thermodynamics of phase transitions
... The statistical mechanics of simple liquids and gases of interacting particles is extremely difficult. Sometimes severe approximations are necessary. It is therefore useful to consider crude models that are amenable to ...
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More NP-Complete Problems
... Observation: If G is colored with k colors then each color class (nodes of same color) form an independent set in G... Graph Coloring.[r] ...
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Parallelization of meta-heuristics for NP-complete problems
... teorijo NP-polnosti, ki je bila leta 1979 natanˇcno opisana v [3] in govori o tem, kako teˇzki so doloˇceni odlo- ˇcitveni in funkcijski ...P, NP, NP-teˇzek, NP-poln ...
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P, NP, NP-hard, and NP-complete
... Classifying Problems as Hard • We are frustratingly unable to prove a lot of problems are impossible to solve efficiently • Instead, we say problem is likely very hard to solve by saying, if a ...
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The Traveling Beams Optical Solutions for Bounded NP-Complete Problems
... Architectures for optical processors designed to solve bounded instances of NP-Complete problems are suggested. One approach mimics the traveling salesman by traveling beams that simultaneously ...
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Definition of NP-complete
... NOTE ◼ We reduced an arbitrary instance of 3-CNF-SAT to an instance of CLIQUE with a particular structure. ◼ You might think that we have shown only that CLIQUE is NP- hard in graphs in which the vertices are ...
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Computer Algorithms. NP-Complete Problems. CISC 4080 Yanjun Li
... is NP-complete, B is in NP, and A < B, B is NP- ...prove NP-complete, and we then prove that it's easier than lots of others which must therefore also be ...
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Online Games as Social-Computational Systems for Solving NP-complete. Problems
... difficult problems that are fun to play and getting people to play them when there are thousands of other games to choose from, there are other challenges to address pertaining to using games to assist in solving ...
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NP Complete Problems-A Minimalist Mutatis Mutandis Model- Testament Of The Panoply
... (10) Malament-Hogarth Space Times (11) Quantum Gravity (12) Anthropic Computing We give a minimalist concatenation model. We refer the reader to rich repository, receptacle, and reliquirium of literature available on the ...
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