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PARA
2004
Springer
15 years 5 months ago
Counting the Number of Connected Components of a Set and Its Application to Robotics
This paper gives a numerical algorithm able to compute the number of path-connected components of a set S defined by nonlinear inequalities. This algorithm uses interval analysis ...
Nicolas Delanoue, Luc Jaulin, Bertrand Cottenceau
ASPDAC
1995
ACM
66views Hardware» more  ASPDAC 1995»
15 years 3 months ago
Region definition and ordering assignment with the minimization of the number of switchboxes
--In this paper, a region definition and ordering assignment (RDAOA) algorithm on minimizing the number of switchboxes is proposed. The time complexity of the algorithm is proved t...
Jin-Tai Yan
DM
2006
93views more  DM 2006»
14 years 12 months ago
The number of equivalence classes of symmetric sign patterns
This paper shows that the number of sign patterns of totally non-zero symmetric n-by-n matrices, up to conjugation by monomial matrices and negation, is equal to the number of unl...
Peter J. Cameron, Charles R. Johnson
ENDM
2008
82views more  ENDM 2008»
14 years 12 months ago
Finding Folkman Numbers via MAX CUT Problem
In this note we report on our recent work, still in progress, regarding Folkman numbers. Let f(2, 3, 4) denote the smallest integer n such that there exists a K4
Andrzej Dudek, Vojtech Rödl
DM
2008
116views more  DM 2008»
14 years 12 months ago
Total and fractional total colourings of circulant graphs
In this paper, the total chromatic number and fractional total chromatic number of circulant graphs are studied. For cubic circulant graphs we give upper bounds on the fractional ...
Riadh Khennoufa, Olivier Togni