ON A CLASS OF SEMIMODULAR POSETS

Y Cherniavsky

ON A CLASS OF SEMIMODULAR POSETS

Y Cherniavsky

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

תקציר

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.

שפה מקורית	אנגלית
עמודים (מ-עד)	311-318
מספר עמודים	8
כתב עת	Advances and Applications in Discrete Mathematics
כרך	28
מספר גיליון	2
סטטוס פרסום	פורסם - 2021

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פורמט ציטוט ביבליוגרפי

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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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year = "2021",

language = "אנגלית",

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N2 - 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.

AB - 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.

KW - Gorenstein poset

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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