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عنوان
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Dominating Ideals and Closed Neighborhood Ideals of Graphs
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نوع پژوهش
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مقالهی منتشر شده در نشریه
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کلیدواژهها
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Closed neighborhood ideals, dominating ideals, trees, cycles, normality, normally torsion-freeness
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چکیده
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We study the closed neighborhood ideals and the dominating ideals of graphs, in particular, some classes of trees and cycles. We prove that the closed neighborhood ideals and the dominating ideals of some classes of trees are normally torsion free. The closed neighborhood ideals and the dominating ideals of cycles fail to be normally torsion free. However, we prove that the closed neighborhood ideals of cycles admit the (strong) persistance property and the dominating ideals of cycles are nearly normally torsion free.
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پژوهشگران
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سمیه بندری (نفر سوم)، مهرداد ناصرنژاد (نفر اول)، Aslı Musapasaoglu (نفر چهارم)، Ayesha Asloob Qureshi (نفر دوم)
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