Zur kombinatorischen Bedeutung der Perron-Frobenius-Projektion
Séminaire lotharingien de combinatoire, Tome 14 (1986)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

Problem 5 in the book "Spectra of Graphs" of CVETKOVIC, DOOB and SACHS says:

"Find the relation between the theory of Markov chains and the theory of graph spectra."

We shou that both theories are ruled by the PERRON-FROBEWIUS projeotion and three matrix representations of it, which yield a common generalization of the HOFFMAN theorems for graphs, directed graphs and point stable designs as uell as the ergodio theorem for stochastio matrices and the ranking procedure of WEI and KENDALL for tournaments.

The following version is available:
@article{SLC_1986_14_a9,
     author = {Karl Erich Wolff},
     title = {Zur kombinatorischen {Bedeutung} der {Perron-Frobenius-Projektion}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {14},
     year = {1986},
     url = {http://geodesic.mathdoc.fr/item/SLC_1986_14_a9/}
}
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Karl Erich Wolff. Zur kombinatorischen Bedeutung der Perron-Frobenius-Projektion. Séminaire lotharingien de combinatoire, Tome 14 (1986). http://geodesic.mathdoc.fr/item/SLC_1986_14_a9/