𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new proof of Cayley's formula for counting labeled trees

✍ Scribed by Peter W Shor

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
223 KB
Volume
71
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Elementary proof of a counting formula f
Elementary proof of a counting formula for acyclic bipartite tournaments
✍ C. C. Rousseau πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 169 KB

## Abstract This note gives a simple proof of a formula due to BollobΓ‘s, Frank and KaroΕ„ski for counting acyclic bipartit tournaments. Β© 1995 John Wiley & Sons, Inc.

A formula for the number of labelled tre
A formula for the number of labelled trees
✍ Vites Longani πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 347 KB

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

A new proof of the signature formula for
A new proof of the signature formula for surface bundles
✍ Matthias Hoster πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 97 KB

Let E β†’ X be an oriented surface bundle over a closed surface. Then the signature sign(E) is determined by the first Chern class of the flat vector bundle Ξ“ associated to the monodromy homomorphism Ο‡ : . The aim of this paper is to give an algebro-topological proof of this formula, i.e., one that d