\contentsline {section}{\numberline {1}Introduction}{1}
\contentsline {section}{\numberline {2}Preliminaries}{2}
\contentsline {section}{\numberline {3}Trees of the same degree function}{3}
\contentsline {section}{\numberline {4}Connected graphs of the same degree function and corank at most 2}{5}
\contentsline {section}{\numberline {5}Graphs of the same degree function and number of components}{14}