A formula for the number of labelled trees
Let L (n, r) be the number of labelled trees with n points and r end-points. In this paper it is shown that the number L (n, r) can be obtained from the formula L (n, r) = fenced(frac(n, n - r)) underover(∑, i = 0, n - r - 1) (- 1)i fenced(frac(n - r, i)) (n - r - i)n - 2 . © 2008 Elsevier Ltd. All...
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th-cmuir.6653943832-53832014-08-30T02:56:28Z A formula for the number of labelled trees Longani V. Let L (n, r) be the number of labelled trees with n points and r end-points. In this paper it is shown that the number L (n, r) can be obtained from the formula L (n, r) = fenced(frac(n, n - r)) underover(∑, i = 0, n - r - 1) (- 1)i fenced(frac(n - r, i)) (n - r - i)n - 2 . © 2008 Elsevier Ltd. All rights reserved. 2014-08-30T02:56:28Z 2014-08-30T02:56:28Z 2008 Article 08981221 10.1016/j.camwa.2008.07.011 CMAPD http://www.scopus.com/inward/record.url?eid=2-s2.0-54849415227&partnerID=40&md5=a1a5baaf9328c8d675e8bf0137258963 http://cmuir.cmu.ac.th/handle/6653943832/5383 English |
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Let L (n, r) be the number of labelled trees with n points and r end-points. In this paper it is shown that the number L (n, r) can be obtained from the formula L (n, r) = fenced(frac(n, n - r)) underover(∑, i = 0, n - r - 1) (- 1)i fenced(frac(n - r, i)) (n - r - i)n - 2 . © 2008 Elsevier Ltd. All rights reserved. |
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Article |
author |
Longani V. |
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Longani V. A formula for the number of labelled trees |
author_facet |
Longani V. |
author_sort |
Longani V. |
title |
A formula for the number of labelled trees |
title_short |
A formula for the number of labelled trees |
title_full |
A formula for the number of labelled trees |
title_fullStr |
A formula for the number of labelled trees |
title_full_unstemmed |
A formula for the number of labelled trees |
title_sort |
formula for the number of labelled trees |
publishDate |
2014 |
url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-54849415227&partnerID=40&md5=a1a5baaf9328c8d675e8bf0137258963 http://cmuir.cmu.ac.th/handle/6653943832/5383 |
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