This volume is the 'second half' of "Eulerian Graphs and Related Topics", Part 1, and relies to some extent on results contained in the preceding volume. Both the author and the editors decided to present Part 1 in two volumes because the original manuscript would have exceeded a maximum of 600 pages. This division of Part 1 into two volumes thus makes it possible to include an Appendix containing corrections of errors in Volume 1 as well as exact references to certain articles which were available only as preprints at that time. The two volumes comprising Part 1 therefore embrace the theme of eulerian trails and covering walks.