Minimal bricks have many vertices of small degree
نویسندگان
چکیده
We prove that every minimal brick on n vertices has at least n/9 vertices of degree at most 4.
منابع مشابه
Minimal bricks
A brick is a 3-connected graph such that the graph obtained from it by deleting any two distinct vertices has a perfect matching. A brick is minimal if for every edge e the deletion of e results in a graph that is not a brick. We prove a generation theorem for minimal bricks and two corollaries: (1) for n ≥ 5, every minimal brick on 2n vertices has at most 5n − 7 edges, and (2) every minimal br...
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ورودعنوان ژورنال:
- Eur. J. Comb.
دوره 36 شماره
صفحات -
تاریخ انتشار 2014