GRAPH THEORY AND COMPUTATIONAL COMPLEXITYFor, AlgorithmsDesign, Vlsi
Concepts from computational complexity theory can be directly applied to the computations that brains must accomplish. For example, one well-known combinatorial optimization problem, the traveling salesman problem, has proven relevant to the analysis of spatial cognition and the diagnoses of cognitive ...
Part I Uniform Complexity 1 1 Models of Computation and Complexity Classes 3 1.1 Strings, Coding, and Boolean Functions 3 1.2 Deterministic Turing Machines 7 1.3 Nondeterministic Turing Machines 14 1.4 Complexity Classes 18 1.5 Universal Turing Machine 25 1.6 Diagonalization 29 1.7 Simulation 33 Exerc...
In theoretical computer science, computational complexity theory focuses on classifying computational problems according to their resource usage, and relating these classes to each other. A computational problem is a task solved by a computer. A computation problem is solvable by mechanical application of...
2.4 Computational complexity (CC) CC theory classifies computational problems in terms of their inherent difficulty, and relating those classes to each other [46]. Hence, the CC theory can be used to determine the practical limits of computerized processing. • Big O notation (O): The big O...
Malyshev, D.: The weighted coloring problem for two graph classes characterized by small forbidden induced structures. Discrete Appl. Math. 247, 423–432 (2018) Article MathSciNet Google Scholar Malyshev, D., Lobanova, O.: Two complexity results for the vertex coloring problem. Discrete Appl...
Downey, R.G., Fellows, M.R.: Parameterized Complexity. Springer, New York (1999)CrossRef 11. Diestel, R.: Graph Theory (Graduate Texts in Mathematics). Springer, New York (2005) 12. Fellows, M.R., Stueckle, S.: The immersion order, forbidden subgraphs and the complexity of network ...
graph 1 Introduction A financial derivative is a contract entered between two parties, in which they agree to exchange payments based on the performance or events relating to one or more underlying assets. For instance, the contract may specify that the buyer pays the seller $1M if the ...
For instance, in graph theory, given two sets of vertices, there are the min–max disjoint path and the min-sum disjoint path problems. These path problems were considered in several papers, where they are polynomial or NP-complete, according to distinct classes of graphs [13], [18]. ...
Yes, we believe this enough to base modern cryptography on it—but as far as anyone knows, factoring could be in BPP without causing any collapse of complexity classes or other disastrous theoretical consequences. Also, of course, there are subexponential-time factoring algorithms (such as the ...