Title
Fast Polynomial-Space Algorithms Using Inclusion-Exclusion.
Abstract
Given a graph with vertices, terminals and positive integer weights not larger than , we compute a minimum in time and space, where the notation omits terms bounded by a polynomial in the input-size. We obtain the result by defining a generalization of walks, called branching walks, and combining it with the Inclusion-Exclusion technique. Using this combination we also give -time polynomial space algorithms for , and # with a given number of components. Furthermore, using related techniques, we also present new polynomial space algorithms for computing the of a graph, and counting the number of perfect matchings of a graph.
Year
DOI
Venue
2013
10.1007/s00453-012-9630-x
Algorithmica
Keywords
Field
DocType
Inclusion-Exclusion,Fixed parameter tractability,Exact algorithms,Polynomial space,Steiner tree
Integer,Discrete mathematics,Combinatorics,Vertex (geometry),Polynomial,Steiner tree problem,Algorithm,Regular polygon,Spanning tree,Degree-constrained spanning tree,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
65
4
0178-4617
Citations 
PageRank 
References 
21
0.81
19
Authors
1
Name
Order
Citations
PageRank
Jesper Nederlof129424.22