Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options not deleted user 34435

Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

9 votes

The probability for a streak when tossing a coin

The survey: ENUMERATION OF STRINGS by A. M. Odlyzko, available at http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.76.5995&rep=rep1&type=pdf gives an answer for a fair coin, I think, for it …
Chassaing's user avatar
  • 456
5 votes
Accepted

Analogy between Integers and Permutations

The essential common feature that insures convergence to a Poisson Dirichlet distribution is explained in the book "Logarithmic Combinatorial Structures" by Arratia Barbour and Tavare. They do a great …
Chassaing's user avatar
  • 456
5 votes
Accepted

Counting graphs up to isomorphism

For question 1, I believe you refer to unordered trees, for which a summary of the available information is given page 4 of "The CRT is the scaling limit of unordered binary trees" by Marckert and Mie …
Chassaing's user avatar
  • 456
3 votes

Overlapping sets

In Research Problems in Discrete Geometry by Peter Brass, William O. J. Moser, János Pach, in section 2.1 page 75, "Decomposition of multiple packings and coverings", problems with a similar flavour a …
Chassaing's user avatar
  • 456
2 votes

Which unordered partition of $n$ gives rise to the largest number of ordered partitions?

Some heuristic way to the answer, related to well-known properties of the entropy of probability distributions, is loosely as follows. Set $m=\sum_i a_i$ and $p_i=a_i/m$, so that $p=(p_i)_{i\ge1}$ is …
Chassaing's user avatar
  • 456
1 vote

Analogy between Integers and Permutations

If I remember well, there is also a correspondence between the degrees of factors of polynomials in $\mathbb{F}_q[X]$, the size of cycles of riffle-shuffle permutations (a brand of non-uniform random …
Chassaing's user avatar
  • 456