- Tytuł:
- Forbidden-minor characterization for the class of graphic element splitting matroids
- Autorzy:
-
Dalvi, Kiran
Borse, M.
Shikare, M. - Powiązania:
- https://bibliotekanauki.pl/articles/744481.pdf
- Data publikacji:
- 2009
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
binary matroid
graphic matroid
minor
splitting operation
element splitting operation - Opis:
- This paper is based on the element splitting operation for binary matroids that was introduced by Azadi as a natural generalization of the corresponding operation in graphs. In this paper, we consider the problem of determining precisely which graphic matroids M have the property that the element splitting operation, by every pair of elements on M yields a graphic matroid. This problem is solved by proving that there is exactly one minor-minimal matroid that does not have this property.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2009, 29, 3; 629-644
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł