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In this paper, we introduce the {\em elimination ideal} $I_{D}(G)$ associated to a simple finite graph $G$. We obtain the upper bound of Castelnuovo-Mumford regularity of {\em elimination ideal} for various classes of graphs.
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참고문헌 (7)
참고문헌 신청
S. Ahmad / 2008 / An upper bound for the regularity of ideals of Borel type / Comm. Algebra 36(2):670~673
M. Cimpoeas / 2008 / A stable property of Borel type ideals / Comm. Algebra 36(2):674~677
D. Eisenbud / 1994 / Initial ideals, Veronese subrings, and rates of algebras / Adv. Math 109(2):168~187
S. L. Hakimi / 1962 / On realizability of a set of integers as degrees of the vertices of a linear graph. I / J. Soc. Indust. Appl. Math 10:496~506
V. Havel / 1955 / A remark on the existence of nite graphs / Casopis Pest. Mat 80:477~480
M. Cimpoeas / 2008 / A stable property of Borel type ideals / Comm. Algebra 36(2):674~677
D. Eisenbud / 1994 / Initial ideals, Veronese subrings, and rates of algebras / Adv. Math 109(2):168~187
S. L. Hakimi / 1962 / On realizability of a set of integers as degrees of the vertices of a linear graph. I / J. Soc. Indust. Appl. Math 10:496~506
V. Havel / 1955 / A remark on the existence of nite graphs / Casopis Pest. Mat 80:477~480
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