Resultants are defined in the sparse (or toric) context in order to exploit the structure of the polynomials as expressed by their Newton polytopes. Since determinantal formulae are not always possible, the most efficient general method for computing resultants is as the ratio of two determinants. This is made possible by Macaulay’s seminal result [15] in the dense homogeneous case, extended by...

Globalisation has given birth to medical tourism. Health and medical tourism are the fastest growing segments in not only developed nations but in developing countries too. India has become a hot destination, as the Indian medical standards match up to the highly prescribed international standards at a very low cost. However, it is an unmixed blessing; along with advantages, it has many uninten...

If C is a clutter with n vertices and q edges whose clutter matrix has column vectors A = {v1, . . . , vq}, we call C an Ehrhart clutter if {(v1, 1), . . . , (vq , 1)} ⊂ {0, 1} n+1 is a Hilbert basis. Letting A(P ) be the Ehrhart ring of P = conv(A), we are able to show that if A is the clutter matrix of a uniform, unmixed MFMC clutter C, then C is an Ehrhart clutter and in this case we provide...