Geodesic
On the gaps in the set of exponents of Boolean primitive circulant matrices
The electronic journal of linear algebra, Tome 20 (2010), pp. 640-660.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we consider the problem of describing the possible exponents of boolean primitive circulant matrices. We give a conjecture for the possible such exponents and prove this conjecture in several cases.In particular, we consider in greater detail the case of matrices whose generating vector has three nonzero entries.
Classification : 11P70, 05C25, 05C50
Keywords: circulant primitive matrices, exponent of primitive matrices, circulant digraphs, basis for a group 
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     author = {Bueno, Maribel I. and Furtado, Susana},
     title = {On the gaps in the set of exponents of {Boolean} primitive circulant matrices},
     journal = {The electronic journal of linear algebra},
     pages = {640--660},
     publisher = {mathdoc},
     volume = {20},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2010__20__a8/}
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Bueno, Maribel I.; Furtado, Susana. On the gaps in the set of exponents of Boolean primitive circulant matrices. The electronic journal of linear algebra, Tome 20 (2010), pp. 640-660. http://geodesic.mathdoc.fr/item/ELA_2010__20__a8/