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- W159595969 abstract "The problem of designing an electrical circuit with the smallest number of make and break switches which will allow a current to flow when m (or more)out of n voters close their switches (vote yes) is discussed. An upper bound j(n,m) for this number is obtained as the maximal solution of a generalized subadditive inequality which is then shown to satisfy the recurrence relation of the title. It is shown how to find explicit solutions of this equation and asymptotic solutions are also found. A second, direct construction gives another upper bound and the two upper bounds are compared, j(n,m) being the better for m small in comparison with n. Problems involving other voting procedures are also considered." @default.
- W159595969 created "2016-06-24" @default.
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- W159595969 date "1977-01-01" @default.
- W159595969 modified "2023-09-27" @default.
- W159595969 title "A problem in the design of electrical circuits, a generalized subadditive inequality and the recurrence relation j(n,m)=j([n/2],m)+j([n+1/2],m)+j(n,m–1)" @default.
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- W159595969 doi "https://doi.org/10.1007/bfb0069190" @default.
- W159595969 hasPublicationYear "1977" @default.
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