ON A CLASS OF SEMIMODULAR POSETS

Y Cherniavsky

ON A CLASS OF SEMIMODULAR POSETS

Y Cherniavsky

Department of Mathematics

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

ملخص

We show that every finite graded totally semimodular poset is EL-shellable. Furthermore, we show that if in a finite graded totally semimodular poset, every interval of length 2 is a diamond, then the poset is Eulerian.

اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	311-318
عدد الصفحات	8
دورية	Advances and Applications in Discrete Mathematics
مستوى الصوت	28
رقم الإصدار	2
حالة النشر	نُشِر - 2021

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title = "ON A CLASS OF SEMIMODULAR POSETS",

abstract = "We show that every finite graded totally semimodular poset is EL-shellable. Furthermore, we show that if in a finite graded totally semimodular poset, every interval of length 2 is a diamond, then the poset is Eulerian.",

keywords = "Gorenstein* poset, EL-shellability, Eulerian poset",

author = "Y Cherniavsky",

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KW - EL-shellability

KW - Eulerian poset

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SN - 0974-1658

VL - 28

SP - 311

EP - 318

JO - Advances and Applications in Discrete Mathematics

JF - Advances and Applications in Discrete Mathematics

IS - 2

ER -

ON A CLASS OF SEMIMODULAR POSETS

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