Fully dynamic recognition algorithm and certificate for directed cograph

Authors:
C. Crespelle;C. Paul
Affiliations:
CNRS-Département Informatique, LIRMM, Montpellier, France;CNRS-Département Informatique, LIRMM, Montpellier, France
Venue:
Discrete Applied Mathematics
Year:
2006

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Abstract

This paper presents an optimal fully dynamic recognition algorithm for directed cographs. Given the modular decomposition tree of a directed cograph G, the algorithm supports arc and vertex modification (insertion or deletion) in O(d) time where d is the number of arcs involved in the operation. Moreover, if the modified graph remains a directed cograph, the modular decomposition tree is updated; otherwise, a certificate is returned within the same complexity.