عنوان
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Closed neighborhood ideal of a graph
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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closed neighborhood ideal ,projective dimension,Castelnuovo-Mumford regularity
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چکیده
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We introduce a family of squarefree monomial ideals associated to finite simple graphs, whose monomial generators correspond to closed neighborhood of vertices of the underlying graph. Any such ideal is called the closed neighborhood ideal of the graph. We study some algebraic invariants of these ideals like Castelnuovo-Mumford regularity and projective dimension and present some combinatorial descriptions for these invariants in terms of graph invariants.
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پژوهشگران
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لیلا شریفان (نفر اول)، سمیه مرادی (نفر دوم)
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