This note contains some remarks on the well-balanced orientation theorem of Nash-Williams [10]. He announced in [11] an extension of his theorem. We present a proof for a generalization of this extension. We show some new consequences of Nash-Williams' odd vertex pairing theorem. A slight generalization of a theorem of Lovász [7] will also be proved.
Bibtex entry:
AUTHOR | = | {Kir{\'a}ly, Zolt{\'a}n and Szigeti, Zolt{\'a}n}, |
TITLE | = | {Notes on well-balanced orientations}, |
NOTE | = | {{\tt egres.elte.hu}}, |
INSTITUTION | = | {Egerv{\'a}ry Research Group, Budapest}, |
YEAR | = | {2004}, |
NUMBER | = | {TR-2004-10} |