Cycle and cocycle coverings of graphs
نویسنده
چکیده
In this article, we show that for any simple, bridgeless graph G on n vertices, there is a family C of at most n−1 cycles which cover the edges of G at least twice. A similar, dual result is also proven for cocycles namely: for any loopless graph G on n vertices and edges having cogirth g∗≥3 and k(G) components, there is a family of at most −n+k(G) cocycles which cover the edges of G at least twice. 2010 Wiley Periodicals, Inc. J Graph Theory MSC: 05D15; 05B35
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عنوان ژورنال:
- Journal of Graph Theory
دوره 65 شماره
صفحات -
تاریخ انتشار 2010