It is shown that each binary matroid contains an odd number of maximal cycles and, as a result of this, that each element of an Eulerian binary matroid is contained in an odd number of circuits.
机构:
Victoria Univ Wellington, Sch Math Stat & Operat Res, Wellington, New ZealandVictoria Univ Wellington, Sch Math Stat & Operat Res, Wellington, New Zealand
Snook, Michael
ELECTRONIC JOURNAL OF COMBINATORICS,
2012,
19
(04):