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Degree sequence for k-arc strongly connected multiple digraphs.
- Source :
-
Journal of Inequalities & Applications . 10/25/2017, Vol. 2017 Issue 1, p1-8. 8p. - Publication Year :
- 2017
-
Abstract
- Let D be a digraph on $\{v_{1},\ldots, v_{n}\}$ . Then the sequence $\{ (d^{+}(v_{1}), d^{-}(v_{1})), \ldots, (d^{+}(v_{n}), d^{-}(v_{n}))\}$ is called the degree sequence of D. For any given sequence of pairs of integers $\mathbf{d}=\{(d_{1}^{+}, d_{1}^{-}), \ldots, (d_{n}^{+}, d_{n}^{-})\}$ , if there exists a k-arc strongly connected digraph D such that d is the degree sequence of D, then d is realizable and D is a realization of d. In this paper, characterizations for k-arc-connected realizable sequences and realizable sequences with arc-connectivity exactly k are given. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2017
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 125874802
- Full Text :
- https://doi.org/10.1186/s13660-017-1544-3