논문KCI 등재
Algebraic characterization of graphical degree stability
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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.
Abstract
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.
참고문헌 (7)
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- D. Eisenbud, "Initial ideals, Veronese subrings, and rates of algebras", Adv. Math, 109(2), pp.168~187 (1994)
- S. L. Hakimi, "On realizability of a set of integers as degrees of the vertices of a linear graph. I", J. Soc. Indust. Appl. Math, 10, pp.496~506 (1962)
- V. Havel, "A remark on the existence of nite graphs", Casopis Pest. Mat, 80, pp.477~480 (1955)
- J. Herzog, "On the Ext-modules of ideals of Borel type, in Commutative algebra (Grenoble", Lyon, 2001), 171-186, 2003, pp.331, ~[DOI]
- G. Sierksma, "Seven criteria for integer sequences being graphic", J. Graph Theory, 15(2), pp.223~231 (1991)
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