Open AccessFactoring directed graphs with respect to the cardinal product in polynomial time
Author(s) -
Wilfried Imrich,
Werner Klöckl
Publication year - 2007
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.1385
Subject(s) - mathematics , combinatorics , factoring , product (mathematics) , discrete mathematics , geometry , economics , finance
By a result of McKenzie [4] finite directed graphs that satisfy certain connectivity and thinness conditions have the unique prime factorization property with respect to the cardinal product. We show that this property still holds under weaker connectivity and stronger thinness conditions. Furthermore, for such graphs the factorization can be determined in polynomial time.
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