Top Tweets for #CayleyFormula

4 days ago

Problem 8: THE CAPITAL'S ROADS. Connect n labeled towns by n-1 loop-free roads, chosen uniformly among all n^(n-2) ways. How many roads does the capital get? Find the exact law and its limit as n grows. Solution 6 is live. #QEDEventually #RandomTrees #CayleyFormula

Jace_blog's tweet photo. Problem 8: THE CAPITAL'S ROADS.

Connect n labeled towns by n-1 loop-free roads, chosen uniformly among all n^(n-2) ways. How many roads does the capital get?

Find the exact law and its limit as n grows.

Solution 6 is live.

#QEDEventually #RandomTrees #CayleyFormula https://t.co/nPeHanpSJo

Jace @Jace_blog

5 days ago

Problem 7: THE WATCHMAN'S CORRIDOR. 2n steps, forward or back, from the door and back to it. Count only the forward steps taken on the north side. Show every count from 0 to n is equally likely. Solution 5 is live. #QEDEventually #Combinatorics #GeneratingFunctions

Jace_blog's tweet photo. Problem 7: THE WATCHMAN'S CORRIDOR.

2n steps, forward or back, from the door and back to it.

Count only the forward steps taken on the north side. Show every count from 0 to n is equally likely.

Solution 5 is live.

#QEDEventually #Combinatorics #GeneratingFunctions https://t.co/4XE7raIlKp

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