Synthesizing designs with low-cardinality minimum feedback vertex set for partial scan application

Author(s):  
S. Dey ◽  
M. Potkonjak ◽  
R. Roy
2008 ◽  
Vol Vol. 10 no. 1 (Graph and Algorithms) ◽  
Author(s):  
Hamamache Kheddouci ◽  
Olivier Togni

Graphs and Algorithms International audience For a set D ⊂ Zn, the distance graph Pn(D) has Zn as its vertex set and the edges are between vertices i and j with |i − j| ∈ D. The circulant graph Cn(D) is defined analogously by considering operations modulo n. The minimum feedback vertex set problem consists in finding the smallest number of vertices to be removed in order to cut all cycles in the graph. This paper studies the minimum feedback vertex set problem for some families of distance graphs and circulant graphs depending on the value of D.


2002 ◽  
Vol 83 (5) ◽  
pp. 275-280 ◽  
Author(s):  
Ioannis Caragiannis ◽  
Christos Kaklamanis ◽  
Panagiotis Kanellopoulos

2008 ◽  
Vol Vol. 10 no. 1 (Graph and Algorithms) ◽  
Author(s):  
Hamamache Kheddouci ◽  
Olivier Togni

Graphs and Algorithms International audience For a set D ⊂ Zn, the distance graph Pn(D) has Zn as its vertex set and the edges are between vertices i and j with |i − j| ∈ D. The circulant graph Cn(D) is defined analogously by considering operations modulo n. The minimum feedback vertex set problem consists in finding the smallest number of vertices to be removed in order to cut all cycles in the graph. This paper studies the minimum feedback vertex set problem for some families of distance graphs and circulant graphs depending on the value of D.


1985 ◽  
Vol 32 (5) ◽  
pp. 491-493 ◽  
Author(s):  
J. Donald ◽  
J. Elwin ◽  
R. Hager ◽  
P. Salamon

2002 ◽  
Vol 84 (3) ◽  
pp. 131-139 ◽  
Author(s):  
Guillaume Fertin ◽  
Emmanuel Godard ◽  
André Raspaud

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