On the Circuit-cocircuit Intersection Conjecture
نویسندگان
چکیده
Oxley has conjectured that for k ≥ 4, if a matroidM has a k-element set that is the intersection of a circuit and a cocircuit, thenM has a (k− 2)-element set that is the intersection of a circuit and a cocircuit. In this paper we prove a stronger version of this conjecture for regular matroids. We also show that the stronger result does not hold for binary matroids.
منابع مشابه
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ورودعنوان ژورنال:
- Graphs and Combinatorics
دوره 22 شماره
صفحات -
تاریخ انتشار 2006