Decomposing series-parallel graphs into paths of length 3 and triangles
نویسنده
چکیده
An old conjecture by Jünger, Reinelt and Pulleyblank states that every 2-edgeconnected planar graph can be decomposed into paths of length 3 and triangles, provided its size is divisible by 3. We prove the conjecture for a class of planar graphs including all 2-edge-connected series-parallel graphs. We also present a 2edge-connected non-planar graph that can be embedded on the torus and admits no decomposition into paths of length 3 and triangles.
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ورودعنوان ژورنال:
- Electronic Notes in Discrete Mathematics
دوره 49 شماره
صفحات -
تاریخ انتشار 2015