random sum
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2021 ◽  
pp. 1-25
Author(s):  
Gabriela Oliveira ◽  
Wagner Barreto-Souza ◽  
Roger W. C. Silva
Keyword(s):  


2018 ◽  
Vol 12 (04) ◽  
pp. 989-1002
Author(s):  
Orr Beit-Aharon ◽  
Roy Meshulam

Let [Formula: see text] be a finite abelian group of order [Formula: see text] and let [Formula: see text] denote the [Formula: see text]-simplex on the vertex set [Formula: see text]. The sum complex [Formula: see text] associated to a subset [Formula: see text] and [Formula: see text], is the [Formula: see text]-dimensional simplicial complex obtained by taking the full [Formula: see text]-skeleton of [Formula: see text] together with all [Formula: see text]-subsets [Formula: see text] that satisfy [Formula: see text]. Let [Formula: see text] denote the space of complex-valued [Formula: see text]-cochains of [Formula: see text]. Let [Formula: see text] denote the reduced [Formula: see text]th Laplacian of [Formula: see text], and let [Formula: see text] be the minimal eigenvalue of [Formula: see text]. It is shown that if [Formula: see text] and [Formula: see text] are fixed, and [Formula: see text] is a random subset of [Formula: see text] of size [Formula: see text], then [Formula: see text]



2017 ◽  
Vol 17 (1) ◽  
pp. 46-54 ◽  
Author(s):  
Mujiati Dwi Kartikasari


2016 ◽  
Vol 49 (3) ◽  
pp. 231-243
Author(s):  
O. Al Mutairi Alya ◽  
Ameenah Alofi ◽  
Mai Alsoubhi ◽  
Sara Alradadi ◽  
Huda Alblwi












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