On a certain complexity estimate in graph theory
A first-order theory \(T\) is said to be an \(n\)-theory if each formula is equivalent in \(T\) to a Boolean combination of formulas with at most \(n\) free variables. For a weakly saturated graph \(\Gamma\), the author gives a sufficient condition for its theory to be an \(n\)-theory. Unfortunately, there are some mistakes in the translation, for example, a correcter translation of the title is ``On a certain complexity estimate of theories of graphs'' and the term ``cutpoint'' should be used instead of the term ``junction point''.
scientific article; zbMATH DE number 1023956