We prove Edmonds-Gallai type structure theorems for Mader's edge- and vertex-disjoint paths including also capacitated variants, and state a conjecture generalizing Mader's minimax theorems on path packings and Cunningham and Geelen's path-matching theorem.
Bibtex entry:
AUTHOR | = | {Seb{\H o}, Andr{\'a}s and Szeg{\H o}, L{\'a}szl{\'o}}, |
TITLE | = | {The path-packing structure of graphs}, |
NOTE | = | {{\tt egres.elte.hu}}, |
INSTITUTION | = | {Egerv{\'a}ry Research Group, Budapest}, |
YEAR | = | {2003}, |
NUMBER | = | {TR-2003-07} |