- A representation for a set is defined to be symmetric if the space required for the representation of the set is the same as the space required for representation of the set'...
We consider worst case time bounds for NP-complete problems including 3-SAT, 3-coloring, 3-edge-coloring, and 3list-coloring. Our algorithms are based on a constraint satisfaction...
We explore the natural question of whether all NP-complete problems have a common restriction under which they are polynomially solvable. More precisely, we study what languages a...
We propose linear time solutions to two much celebrated NP-complete problems, namely the 3CNF-SAT and the directed Hamiltonian Path Problem (HPP), based on AHNEPs having all resour...
Many intractable problems such as NP-complete problems (provided P = NP) have easy subproblems. In contrast, we investigate the existence and the properties of inherently hard sub...
We discuss fast exponential time solutions for NP-complete problems. We survey known results and approaches, we provide pointers to the literature, and we discuss several open prob...
Exponential algorithms, i.e. algorithms of complexity O(cn ) for some c > 1, seem to be unavoidable in the case of NP-complete problems (unless P=NP), especially if the problem ...
The Valued Constraint Satisfaction Problem (VCSP) is a general framework encompassing many optimisation problems. We discuss precisely what it means for a problem to be modelled in...
"This course will consist of a number of major sections. The first will be a short review of some preliminary material, including asymptotics, summations, and recurrences and ...
"This book evolved over the past ten years from a set of lecture notes developed while teaching the undergraduate Algorithms course at Berkeley and U.C. San Diego. Our way of ...
S. Dasgupta, C.H. Papadimitriou, and U.V. Vazirani