Packing edge-disjoint cycles in graphs and the cyclomatic number
نویسندگان
چکیده
For a graph G let μ(G) denote the cyclomatic number and let ν(G) denote the maximum number of edge-disjoint cycles of G. We prove that for every k ≥ 0 there is a finite set P(k) such that every 2-connected graph G for which μ(G)− ν(G) = k arises by applying a simple extension rule to a graph in P(k). Furthermore, we determine P(k) for k ≤ 2 exactly.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 310 شماره
صفحات -
تاریخ انتشار 2010