Almost all digraphs have a kernel
โ Scribed by Ioan Tomescu
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 561 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract A Steinhaus graph is a graph with __n__ vertices whose adjacency matrix (__a__~i, j~) satisfies the condition that __a__~i, j~ ๏ฃฝ __a__~aโโ1, jโโ1~ + __a__ ~iโโ1, j~ (mod 2) for each 1 < __i__ < __j__ โค __n__. It is clear that a Steinhaus graph is determined by its first row. In [3] Brin
We generalize a result by Maghout who had shown that every tournament of radius 2 admits three distinct centers. Here we prove that every graph without kernel has at least three distinct quasi-kernels.
Let T be a tree on n vertices, and let E <$ be a small fixed positive number. The tribe number t&) of T is the smallest integer r such that when any vertex is deleted, some r or fewer subtrees in the resulting forest together contain more than (1-e)n vertices. We prove the following, theorem: Almost
The decidability of the word problem for one-rule Thue systems is an open cluestion. In the case of one-rule special Thue systems, i.e., those of the form {(w, 1)} where 1 is the identity, it is known [1] that the word problem is decidable. Here we show that 'almost all' one-rule Thue systems have