\contentsline {section}{\numberline {1}Introduction}{1}
\contentsline {section}{\numberline {2}Main notions and notation}{4}
\contentsline {section}{\numberline {3}Laplacian matrix and the matrix--tree theorem}{7}
\contentsline {section}{\numberline {4}Laplacian polynomial of a graph}{8}
\contentsline {section}{\numberline {5}Tree and forest volumes of graphs}{11}
\contentsline {section}{\numberline {6}Recursive properties of graph volumes}{13}
\contentsline {section}{\numberline {7}Graph volumes and Laplacian polynomials}{15}
\contentsline {section}{\numberline {8}Reciprocity theorem for graph volumes}{16}
\contentsline {section}{\numberline {9}Graph constructions}{19}
\contentsline {section}{\numberline {10}Tree and forest volumes of decomposable graphs}{21}
\contentsline {section}{\numberline {11}Tree and forest volumes of graph--compositions}{24}
\contentsline {section}{\numberline {12}Forest volumes of some special graphs}{27}
\contentsline {section}{\numberline {13}Combinatorial interpretation of Hurwitz's identity}{29}