Computing Tropical Points and Tropical Links

Computing the Extreme Points of Tropical Polyhedra

We present an efficient algorithm to compute all the extreme elements of a max-plus or tropical polyhedron. This algorithm relies on a combinatorial characterization of these extreme elements, when the polyhedron is defined by inequalities. We show that checking the extremality of an element of such a polyhedron reduces to computing the least model of a compact Horn formula, the latter being a ...

Tropical and algebraic curves with multiple points

Patchworking theorems serve as a basic element of the correspondence between tropical and algebraic curves, which is a core of the tropical enumerative geometry. We present a new version of a patchworking theorem which relates plane tropical curves with complex and real algebraic curves having prescribed multiple points. It can be used to compute Welschinger invariants of non-toric Del Pezzo su...

مروری بر کتاب Tropical Dermatology

tropical eosinophylia

a case of tropical eosinophylia which seems to be an independent disease is described. the patient was admitted because of fever, loss of weight- ~and some respiratory disorders. the blood examination shows a high percentage of eosinophylia in several times. in this view other causes of the blood eosinophylia were eliminated by the laboratory tests. the patient was treated with arsenical drugs ...

Computing Tropical Varieties over Fields with Valuation

We show how tropical varieties of ideals I E K[x] over a field K with non-trivial valuation can always be traced back to tropical varieties of ideals π−1I E RJtK[x] over some dense subring R in its ring of integers. Moreover, for homogeneous ideals, we present algorithms on how the latter can be computed in finite time, provided that π−1I is generated by elements in R[t, x]. While doing so, we ...