VLSI Algorithms for the Connected Component Problem

1983 ◽  
Vol 12 (2) ◽  
pp. 354-365 ◽  
Author(s):  
Susanne E. Hambrusch
Keyword(s):  
Connected Component ◽  
Component Problem

A linear systolic algorithm for the connected component problem

1989 ◽  
Vol 29 (2) ◽  
pp. 217-226 ◽  
Author(s):  
Shing-Tsaan Huang ◽  
Ming-Shin Tsai
Keyword(s):  
Connected Component ◽  
Component Problem ◽  
Systolic Algorithm

scholarly journals Non Kählerian surfaces with a cycle of rational curves

2021 ◽  
Vol 8 (1) ◽  
pp. 208-222
Author(s):  
Georges Dloussky
Keyword(s):  
Deformation Theory ◽  
Complex Surface ◽  
Rational Curves ◽  
Intersection Form ◽  
Connected Component ◽  
Hirzebruch Surface ◽  
Compact Complex Surface ◽  
A Chain

Abstract Let S be a compact complex surface in class VII0 + containing a cycle of rational curves C = ∑Dj . Let D = C + A be the maximal connected divisor containing C. If there is another connected component of curves C ′ then C ′ is a cycle of rational curves, A = 0 and S is a Inoue-Hirzebruch surface. If there is only one connected component D then each connected component Ai of A is a chain of rational curves which intersects a curve Dj of the cycle and for each curve Dj of the cycle there at most one chain which meets Dj . In other words, we do not prove the existence of curves other those of the cycle C, but if some other curves exist the maximal divisor looks like the maximal divisor of a Kato surface with perhaps missing curves. The proof of this topological result is an application of Donaldson theorem on trivialization of the intersection form and of deformation theory. We apply this result to show that a twisted logarithmic 1-form has a trivial vanishing divisor.

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