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As a generalization of matchings, Cunningham and Geelen introduced the notion of path-matchings. We give a structure theorem for path-matchings which generalizes the fundamental Gallai-Edmonds structure theorem for matchings. Our proof is purely combinatorial.
Bibtex entry:
AUTHOR | = | {Spille, Bianca and Szeg{\H o}, L{\'a}szl{\'o}}, |
TITLE | = | {A {G}allai--{E}dmonds-type structure theorem for path-matchings.}, |
NOTE | = | {{\tt egres.elte.hu}}, |
INSTITUTION | = | {Egerv{\'a}ry Research Group, Budapest}, |
YEAR | = | {2002}, |
NUMBER | = | {TR-2002-04} |