Computational complexity of counting and sampling provides readers with comprehensive and detailed coverage of the subject of computational complexityit is primarily geared toward researchers in enumerative combinatorics discrete mathematics and theoretical computer science. Computational complexity theory focuses on classifying computational problems according to their inherent difficulty 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 mathematical steps such as an algorithm a problem is regarded as inherently difficult if its solution requires . A function giving a numerical estimate of the difficulty amount of time storage involved of the process of application of an algorithm to the inputs a more precise definition of the computational complexity of an algorithm is the concept of a cost function step counting function defined as . The following tables list the computational complexity of various algorithms for common mathematical operations here complexity refers to the time complexity of performing computations on a multitape turing machine see big o notation for an explanation of the notation used note due to the variety of multiplication algorithms mn below stands in for the complexity of the chosen . Theory of computational complexity second edition is an excellent textbook for courses on computational theory and complexity at the graduate level the book is also a useful reference for practitioners in the fields of computer science engineering and mathematics who utilize state of the art software and computational methods to conduct
How it works:
1. Register a Free 1 month Trial Account.
2. Download as many books as you like ( Personal use )
3. No Commitment. Cancel anytime.
4. Join Over 100.000 Happy Readers.
5. That's it. What you waiting for? Sign Up and Get Your Books.