Markov product of positive definite kernels and applications to Q-matrices of graph products

@article{NobuakiObata2011,
abstract = {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.},
author = {Nobuaki Obata},
journal = {Colloquium Mathematicae},
keywords = {positive definite kernel; Markov product; Q-matrix; direct product graph; star graph; comb graph; free product graph},
language = {eng},
number = {2},
pages = {177-184},
title = {Markov product of positive definite kernels and applications to Q-matrices of graph products},
url = {http://eudml.org/doc/283977},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Nobuaki Obata
TI - Markov product of positive definite kernels and applications to Q-matrices of graph products
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 2
SP - 177
EP - 184
AB - 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.
LA - eng
KW - positive definite kernel; Markov product; Q-matrix; direct product graph; star graph; comb graph; free product graph
UR - http://eudml.org/doc/283977
ER -