On matrices associated to directed graphs and applications
✍ Scribed by de Freitas, Maria Aguieiras A.; Bonifácio, Andréa Soares; Robbiano, Maria; San Martín, Bernardo
- Book ID
- 123402110
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 235 KB
- Volume
- 442
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
We consider the problem of constructing a matrix with prescribed row and Ä 4 column sums, subject to the condition that the off-diagonal entries are in 0, 1 and the diagonal entries are nonnegative integers. The pair of row and column sum vectors is called realizable if such a matrix exists. This is
## Abstract A semicycle is said to turn at a point __a__ if the arcs incident to __a__ are both to it or both from it. We prove that if a nonempty set of points of a finite directed graph contains a turning point of each semicycle, then one of its members is a turning point of every semicycle to wh