14 citations · 82 across the 27 of their papers we have counts for
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math.AC2012★ 9 cited
Weakly closed graphs and F-purity of binomial edge ideals
Kazunori Matsuda
Herzog-Hibi-Hreindóttir-Kahle-Rauh introduced the class of closed graph and they proved that the binomial edge ideal of a graph has quadratic Gröbner bases if is clo…
math.AC2012★ 1 cited
Regularity bounds for binomial edge ideals
Kazunori Matsuda, Satoshi Murai
We show that the Castelnuovo-Mumford regularity of the binomial edge ideal of a graph is bounded below by the length of its longest induced path and bounded above by the number of…
math.AC2012
Diagonal F-thresholds and F-pure thresholds of Hibi rings
Takahiro Chiba, Kazunori Matsuda
Hibi rings are a kind of graded toric ring on a finite distributive lattice , where is a partially ordered set. In this paper, we compute diagonal F-thresholds and F-…