Decomposing Graphs into Long Paths
نویسندگان
چکیده
It is known that the edge set of a 2-edge-connected 3-regular graph can be decomposed into paths of length 3. W. Li asked whether the edge set of every 2-edge-connected graph can be decomposed into paths of length at least 3. The graphs C3, C4, C5, and K4 − e have no such decompositions. We construct an infinite sequence {Fi}∞i=0 of nondecomposable graphs. On the other hand, we prove that every other 2-edge-connected graph has a desired decomposition. Mathematics Subject Classifications (2000): 05C35, 05C38.
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ورودعنوان ژورنال:
- Order
دوره 20 شماره
صفحات -
تاریخ انتشار 2003