Extremal Betti Numbers of Some Cohen–Macaulay Binomial Edge Ideals
نویسندگان
چکیده
We provide the regularity and Cohen–Macaulay type of binomial edge ideals cones, we show extremal Betti numbers some classes ideals: bipartite fan graphs. In addition, compute Hilbert–Poincaré series
منابع مشابه
Extremal Betti Numbers of Some Classes of Binomial Edge Ideals
Let G be a simple graph on the vertex set [n] with edge set E(G) and let S be the polynomial ring K[x1, . . . , xn, y1, . . . , yn] in 2n variables endowed with the lexicographic order induced by x1 > · · · > xn > y1 > · · · > yn. The binomial edge ideal JG ⊂ S associated with G is generated by all the binomials fij = xiyj−xjyi with {i, j} ∈ E(G). The binomial edge ideals were introduced in [5]...
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ژورنال
عنوان ژورنال: Algebra Colloquium
سال: 2021
ISSN: ['0219-1733', '1005-3867']
DOI: https://doi.org/10.1142/s1005386721000328