LNCS 2832 An Efficient Implementation of a Quasi polynomial Algorithm for Generating Hypergraph Transversals 1st edition by Boros, Elbassioni, Gurvich, Leonid Khachiyan ISBN 3540200649 978-3540200642

LNCS 2832 – An Efficient Implementation of a Quasi-polynomial Algorithm for Generating Hypergraph Transversals is a technical book authored by Boros, Elbassioni, Gurvich, and Leonid Khachiyan, published as part of the Lecture Notes in Computer Science (LNCS) series. This book delves into hypergraph transversals, an important concept in combinatorics and graph theory, and presents an efficient implementation of a quasi-polynomial algorithm for generating these transversals. The work explores both the theoretical foundations and the practical aspects of generating hypergraph transversals, offering an advanced method for solving related computational problems

A hypergraph is a generalization of a graph in which edges (called hyperedges) can connect any number of vertices, not just two. A transversal of a hypergraph is a set of vertices that intersects every hyperedge of the hypergraph. The problem of generating hypergraph transversals is important in various fields such as combinatorics, optimization, logic, and constraint satisfaction problems.

The authors focus on a quasi-polynomial algorithm to efficiently generate all minimal transversals of a hypergraph, which is a significant challenge in computational complexity. The algorithm they propose balances theoretical insight with practical applicability, making it a useful tool for solving hypergraph-related problems.