21 citations · 24 across the 4 of their papers we have counts for
4 papers
Graver basis for an undirected graph and its application to testing the beta model of random graphs
Mitsunori Ogawa, Hisayuki Hara, Akimichi Takemura
In this paper we give an explicit and algorithmic description of Graver basis for the toric ideal associated with a simple undirected graph and apply the basis for testing the beta…
Connecting tables with zero-one entries by a subset of a Markov basis
Hisayuki Hara, Akimichi Takemura
We discuss connecting tables with zero-one entries by a subset of a Markov basis. In this paper, as a Markov basis we consider the Graver basis, which corresponds to the unique min…
On connectivity of fibers with positive marginals in multiple logistic regression
Hisayuki Hara, Akimichi Takemura, Ruriko Yoshida
In this paper we consider exact tests of a multiple logistic regression, where the levels of covariates are equally spaced, via Markov beses. In usual application of multiple logis…
Markov bases for two-way subtable sum problems
Hisayuki Hara, Akimichi Takemura, Ruriko Yoshida
It has been well-known that for two-way contingency tables with fixed row sums and column sums the set of square-free moves of degree two forms a Markov basis. However when we impo…