Kernels and partial line digraphs
β Scribed by C. Balbuena; M. Guevara
- Book ID
- 104000923
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 274 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A kernel N of a digraph D is an independent set of vertices of D such that for every w ~ V(D)-N there exists an arc from w to N. If every induced subdigraph of D has a kernel, D is said to be an R-digraph. Minimal non-R-digraphs are called R--digraphs. In this paper some structural results concernin
## Abstract A __quasiβkernel__ in a digraph is an independent set of vertices such that any vertex in the digraph can reach some vertex in the set via a directed path of length at most two. ChvΓ‘tal and LovΓ‘sz proved that every digraph has a quasiβkernel. Recently, Gutin et al. raised the question o
## Abstract Consider two maps __f__ and __g__ from a set __E__ into a set __F__ such that __f__(__x__)ββ βg(__x__) for every __x__ in __E__. Suppose that there exists a positive integer __n__ such that for any element __z__ in __F__ either __f__^β1^(__z__) or __g__^β1^(__z__) has at most __n__ eleme
## Abstract A vertex set __X__ of a digraph __D__β=β(__V, A__) is a __kernel__ if __X__ is independent (i.e., all pairs of distinct vertices of __X__ are nonβadjacent) and for every __v__ β __V__β__X__ there exists __x__ β __X__ such that __vx__ β __A__. A vertex set __X__ of a digraph __D__β=β(__V