The exponent of a primitive digraph is the smallest integer k such that for each ordered pair of (not necessarily distinct) vertices x and y there is a walk of length k from x to y. The exponent set (the set of those numbers attainable as exponents of primitive digraphs with n vertices) and bounds o
Generalized exponents of primitive simple graphs
โ Scribed by Bolian Liu
- Book ID
- 105434274
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1993
- Tongue
- English
- Weight
- 301 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0168-9673
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract The exponent of a primitive digraph is the smallest integer __t__ such that for each ordered pair of (not necessarily distinct) vertices __x__ and __y__ there is a path of length __t__ from __x__ to __y__. There is considerable information known about bounds on exponents and those numbe
A strongly connected digraph D of order n is primitive (aperiodic) provided the greatest common divisor of its directed cycle lengths equals 1. For such a digraph there is a minimum integer t, called the exponent of D, such that given any ordered pair of vertices x and y there is a directed walk fro