๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Algebraic Multiplicity of the Eigenvalues of a Bipartite Tournament Matrix

โœ Scribed by Fan, Yi-Zheng; Li, Jiong-Sheng

Book ID
118216959
Publisher
Society for Industrial and Applied Mathematics
Year
2002
Tongue
English
Weight
159 KB
Volume
24
Category
Article
ISSN
0895-4798

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On the equality of algebraic and geometr
On the equality of algebraic and geometric multiplicities of matrix eigenvalues
โœ J. Ding; Noah H. Rhee ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 213 KB

We summarize seventeen equivalent conditions for the equality of algebraic and geometric multiplicities of an eigenvalue for a complex square matrix. As applications, we give new proofs of some important results related to mean ergodic and positive matrices.

The number of bipartite tournaments with
The number of bipartite tournaments with a unique given factor
โœ Manoussakis Manolis; Manoussakis Yannis ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 571 KB

We give a recursive function in order to calculate the number of all nonisomorphic bipartite tournaments containing an unique hamiltonian cycle. Using this result we determine the number of all nonisomorphic bipartite tournaments that admit an unique factor isomorphic to a given l-diregular bipartit