scholarly journals Associated primes of powers of edge ideals and ear decompositions of graphs

2019 ◽  
Vol 372 (5) ◽  
pp. 3211-3236 ◽  
Author(s):  
Ha Minh Lam ◽  
Ngo Viet Trung
Keyword(s):  
Associated Primes ◽  
Edge Ideals

scholarly journals Associated primes of powers of edge ideals

2011 ◽  
Vol 63 (3) ◽  
pp. 361-374 ◽  
Author(s):  
José Martínez-Bernal ◽  
Susan Morey ◽  
Rafael H. Villarreal
Keyword(s):  
Associated Primes ◽  
Edge Ideals

scholarly journals The arithmetical rank of the edge ideals of graphs with pairwise disjoint cycles

2016 ◽  
Vol 15 (07) ◽  
pp. 1650120 ◽  
Author(s):  
Margherita Barile ◽  
Antonio Macchia
Keyword(s):  
Pairwise Disjoint ◽  
Maximum Height ◽  
Associated Primes ◽  
Edge Ideal ◽  
Edge Ideals ◽  
Disjoint Cycles ◽  
Arithmetical Rank ◽  
Number Of Cycles ◽  
Vertex Disjoint

We prove that, for the edge ideal of a graph whose cycles are pairwise vertex-disjoint, the arithmetical rank is bounded above by the sum of the number of cycles and the maximum height of its associated primes.

scholarly journals Saturation and associated primes of powers of edge ideals

2015 ◽  
Vol 439 ◽  
pp. 225-244 ◽  
Author(s):  
Ha Thi Thu Hien ◽  
Ha Minh Lam ◽  
Ngo Viet Trung
Keyword(s):  
Associated Primes ◽  
Edge Ideals

scholarly journals A proof for a conjecture on the regularity of binomial edge ideals

2021 ◽  
Vol 180 ◽  
pp. 105432
Author(s):  
Mohammad Rouzbahani Malayeri ◽  
Sara Saeedi Madani ◽  
Dariush Kiani
Keyword(s):  
Edge Ideals

Associated primes of powers of cover ideals under graph operations

2019 ◽  
Vol 47 (5) ◽  
pp. 1985-1996 ◽  
Author(s):  
Mehrdad Nasernejad ◽  
Kazem Khashyarmanesh ◽  
Ibrahim Al-Ayyoub
Keyword(s):  
Associated Primes ◽  
Graph Operations

scholarly journals On vanishing patterns in j-strands of edge ideals

2017 ◽  
Vol 46 (2) ◽  
pp. 287-295 ◽  
Author(s):  
Abed Abedelfatah ◽  
Eran Nevo
Keyword(s):  
Edge Ideals

On the associated primes of local cohomology modules

1999 ◽  
Vol 27 (12) ◽  
pp. 6191-6198 ◽  
Author(s):  
K. Khashyarmanesh ◽  
Sh Salarian
Keyword(s):  
Local Cohomology ◽  
Associated Primes ◽  
Local Cohomology Modules ◽  
Cohomology Modules

scholarly journals Stanley depth of edge ideals

2012 ◽  
Vol 49 (4) ◽  
pp. 501-508 ◽  
Author(s):  
Muhammad Ishaq ◽  
Muhammad Qureshi
Keyword(s):  
Complete Graph ◽  
Upper Bound ◽  
Edge Ideal ◽  
Stanley Depth ◽  
Edge Ideals

We give an upper bound for the Stanley depth of the edge ideal I of a k-partite complete graph and show that Stanley’s conjecture holds for I. Also we give an upper bound for the Stanley depth of the edge ideal of a s-uniform complete bipartite hypergraph.

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