๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Generalized scrambling indices of a primitive digraph

โœ Scribed by Yufei Huang; Bolian Liu


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
206 KB
Volume
433
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

โœฆ Synopsis


From the background of a memoryless communication system, we introduce the definition of the generalized scrambling indices for a primitive digraph, which are natural extensions of the scrambling index and m-competition index. Moreover, we provide some exact lower and upper bounds for the generalized scrambling indices of various classes of primitive digraphs, respectively.


๐Ÿ“œ SIMILAR VOLUMES


Generalized exponents of primitive symme
โœ Richard A. Brualdi; Shao Jia-yu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1014 KB

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