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Author Muller, John H. ♦ Spinrad, Jeremy
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1989
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract Modular decomposition is a form of graph decomposition that has been discovered independently by researchers in graph theory, game theory, network theory, and other areas. This paper reduces the time needed to find the modular decomposition of a graph from $&OHgr;(\textit{n}3)$ to $&Ogr;(\textit{n}2).$ Together with a new algorithm for transitive orientation given in [21], this leads to fast new algorithms for a number of problems in graph recognition and isomorphism, including recognition of comparability graphs and permutation graphs. The new algorithm works by inserting each vertex successively into the decomposition tree, using $&Ogr;(\textit{n})$ time to insert each vertex.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1989-01-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 36
Issue Number 1
Page Count 19
Starting Page 1
Ending Page 19


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Source: ACM Digital Library