| Abstract: | Let Fn denote the set of rooted binary plane trees with n external nodes, for given T???Fn let ui(T) be the altitude i node along the primary path of T, and let ??i(T) denote the number of external nodes in the induced subtree rooted at ui(T). We set ??i(T) = 0 if i is greater than the length of the primary path of T. We prove limn?????? ???i???x/n En{??i}/???i?? En{??i} = G(x), where En denotes the average over trees T???Fn and where the distribution function G is determined by its moments, for which we present an explicit expression. ?? 1993. |
| Genre: | Article |
| ProdID: | 70018378 |
| Citation Author: | Troutman, B. M.; Karlinger, M. R. |
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| Citation End Page: | 93 |
| Citation Issue: | 1 |
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| Citation Language: | English |
| Citation Larger Work Title: | Discrete Applied Mathematics |
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| Citation Number Of Pages: | 7 |
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| Citation Search Results Text: | A note on subtrees rooted along the primary path of a binary tree; 1993; Article; Journal; Discrete Applied Mathematics; Troutman, B. M.; Karlinger, M. R. |
| Citation Start Page: | 87 |
| Citation Volume: | 42 |
| Citation Year: | 1993 |
| Type: | citation/reference |
| Text: | A note on subtrees rooted along the primary path of a binary tree; 1993; Article; Journal; Discrete Applied Mathematics; Troutman, B. M.; Karlinger, M. R. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| Date Other: | Fri, 1 Jan 1993 00:00 -0600 |
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