scholarly journals Directed Graphs, Magic Squares, and Grothendieck Topologies

2000 ◽  
Vol 12 (3) ◽  
pp. 159-169
Author(s):  
Min Ho Lee
Keyword(s):  
Directed Graphs ◽  
Magic Squares ◽  
Grothendieck Topologies

A Browser for Directed Graphs

1984 ◽  
Author(s):  
Lawrence A. Rowe ◽  
Michael Davis ◽  
Eli Messinger ◽  
Carl Meyer ◽  
Charles Spirakis
Keyword(s):  
Directed Graphs

Magic Squares of Squares

1996 ◽  
Vol 69 (4) ◽  
pp. 289-293 ◽  
Author(s):  
John P. Robertson
Keyword(s):  
Magic Squares

scholarly journals Coarse cohomology with twisted coefficients

2020 ◽  
Vol 70 (6) ◽  
pp. 1413-1444
Author(s):  
Elisa Hartmann
Keyword(s):  
Sheaf Cohomology ◽  
Grothendieck Topology ◽  
Coarse Structure ◽  
Relative Cohomology ◽  
Number Of Ends ◽  
Constant Coefficients ◽  
Coarse Space ◽  
Grothendieck Topologies

AbstractTo a coarse structure we associate a Grothendieck topology which is determined by coarse covers. A coarse map between coarse spaces gives rise to a morphism of Grothendieck topologies. This way we define sheaves and sheaf cohomology on coarse spaces. We obtain that sheaf cohomology is a functor on the coarse category: if two coarse maps are close they induce the same map in cohomology. There is a coarse version of a Mayer-Vietoris sequence and for every inclusion of coarse spaces there is a coarse version of relative cohomology. Cohomology with constant coefficients can be computed using the number of ends of a coarse space.

Consensus of Positive Networked Systems on Directed Graphs

2021 ◽  
pp. 1-9
Author(s):  
Jason J. R. Liu ◽  
Ka-Wai Kwok ◽  
Yukang Cui ◽  
Jun Shen ◽  
James Lam
Keyword(s):  
Directed Graphs ◽  
Networked Systems
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