@article {IOPORT.00729923, author = {Martinov, Nikola}, title = {External locally-tree-like graphs.}, year = {1990}, journal = {Godishnik na Sofijskiya Universitet ``Sv. Kliment Okhridski''. Fakultet po Matematika i Informatika}, volume = {84}, number = {1}, issn = {0205-0808}, pages = {17-22}, publisher = {Universitetsko Izdatelstvo ``Sv. Kliment Okhridski'', Sofia}, abstract = {Summary: We deal with the set $\text{LT}\sb 1$ of those locally-tree-like graphs, which have a minimal number of edges with respect to the number of vertices. Different characteristics of the class $\text{LT}\sb 1$ are found. If $G$ is an arbitrary graph in $\text{LT}\sb 1$, we find its linear arboricity $\Xi(G)$, i.e. the minimal number of vertex disjoint systems of simple chains covering $G$. It is proved that $\Xi(G)= \left[{\Delta(G)+ 1\over 2}\right]$.}, identifier = {00729923}, }