Title
Cograph generation with linear delay.
Abstract
Cographs have always been a research target in areas such as coloring, graph decomposition, and spectral theory. In this work, we present an algorithm to generate all unlabeled cographs with n vertices, based on the generation of cotrees. The delay of our algorithm (time spent between two consecutive outputs) is O(n). The time needed to generate the first output is also O(n), which gives an overall O(nMn) time complexity, where Mn is the number of unlabeled cographs with n vertices. The algorithm avoids the generation of duplicates (isomorphic outputs) and produces, as a by-product, a linear ordering of unlabeled cographs with n vertices.
Year
DOI
Venue
2018
10.1016/j.tcs.2017.12.037
Theoretical Computer Science
Keywords
DocType
Volume
Cographs,Enumerative combinatorics,Enumerative algorithms
Journal
713
ISSN
Citations 
PageRank 
0304-3975
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Átila A. Jones100.68
Fábio Protti235746.14
Renata R. Del Vecchio353.65