Markov product of positive definite kernels and applications to Q-matrices of graph products
Nobuaki Obata
Colloquium Mathematicae, Tome 122 (2011), p. 177-184 / Harvested from The Polish Digital Mathematics Library
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We show positivity of the Q-matrix of four kinds of graph products: direct product (Cartesian product), star product, comb product, and free product. During the discussion we give an alternative simple proof of the Markov product theorem on positive definite kernels.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:283977 
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     year = {2011},
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Nobuaki Obata. Markov product of positive definite kernels and applications to Q-matrices of graph products. Colloquium Mathematicae, Tome 122 (2011) pp. 177-184. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-2-2/