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Department of Mathematics ”1 Decembrie 1918” University Alba Iulia, Romania.

Now we are able to state the following theorem, which gives an effective finiteness result for the solutions of a so-called S-unit equation over function fields, which is

c/o 8520 Burning Tree Road Bethesda, Maryland, 20817, USA. E-mail

Department of Computing Macquarie University Sydney, NSW 2109, Australia. E-mail

A publication of the International Linear

It was provedfor triangle free graphs in [11], for graphs which contain no odd cycle on 5 or more vertices in [10], for all graphs on 5 vertices which are not the complete graph

, n is called a recursive tree if the vertex labelled 1 is the root and, for all 2 ≤ k ≤ n, the sequence of vertex labels in the path from the root to k is increasing (Stanley

In fact it is standard to obtain estimates on the exit time distribution of a reversible Markov process from a region if one has an estimate from below of the spectral gap of