Autor: Klöckl, Werner - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Factoring directed graphs with respect to the cardinal product in polynomial time
Autorzy:: Imrich, Wilfried
Klöckl, Werner
Powiązania:: https://bibliotekanauki.pl/articles/743472.pdf
Data publikacji:: 2007
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: directed graphs
cardinal product
graph algorithms
Opis:: 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.
Źródło:: Discussiones Mathematicae Graph Theory; 2007, 27, 3; 593-601
2083-5892
Pojawia się w:: Discussiones Mathematicae Graph Theory
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Factoring directed graphs with respect to the cardinal product in polynomial time II
Autorzy:: Imrich, Wilfried
Klöckl, Werner
Powiązania:: https://bibliotekanauki.pl/articles/744038.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: directed graphs
cardinal product
graph algorithms
Opis:: By a result of McKenzie [7] all finite directed graphs that satisfy certain connectivity conditions have unique prime factorizations with respect to the cardinal product. McKenzie does not provide an algorithm, and even up to now no polynomial algorithm that factors all graphs satisfying McKenzie's conditions is known. Only partial results [1,3,5] have been published, all of which depend on certain thinness conditions of the graphs to be factored.
In this paper we weaken the thinness conditions and thus significantly extend the class of graphs for which the prime factorization can be found in polynomial time.
Źródło:: Discussiones Mathematicae Graph Theory; 2010, 30, 3; 461-474
2083-5892
Pojawia się w:: Discussiones Mathematicae Graph Theory
Dostawca treści:: Biblioteka Nauki

Artykuł

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