On a poset of trees
نویسنده
چکیده
We will prove that the path minimizes the number of closed walks of length l among the connected graphs for all l. Indeed, we will prove that the number of closed walks of length l and many other properties such as the spectral radius, Estada index increase or decrease along a certain poset of trees. This poset is a leveled poset with path as the smallest element and star as the greatest element.
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ورودعنوان ژورنال:
- Combinatorica
دوره 30 شماره
صفحات -
تاریخ انتشار 2010