Geodesic
Markov product of positive definite kernels and applications to $Q$-matrices of graph products
Nobuaki Obata 1
1 Graduate School of Information Sciences Tohoku University Sendai 980-8579, Japan
Colloquium Mathematicum, Tome 122 (2011) no. 2, pp. 177-184 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm122-2-2
Keywords: positivity q matrix kinds graph products direct product cartesian product star product comb product product during discussion alternative simple proof markov product theorem positive definite kernels

Nobuaki Obata  1

1 Graduate School of Information Sciences Tohoku University Sendai 980-8579, Japan 
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Nobuaki Obata. Markov product of positive definite kernels and applications to $Q$-matrices of graph products. Colloquium Mathematicum, Tome 122 (2011) no. 2, pp. 177-184. doi: 10.4064/cm122-2-2

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