Skip to main content

All Questions

Tagged with
Filter by
Sorted by
Tagged with
11 votes
3 answers
462 views

Spanning paths in a tournament on n nodes

The goal of this challenge is to extend the On-Line Encyclopedia of Integer Sequences (OEIS) sequence A038375. Maximal number of spanning paths in tournament on n nodes. A tournament on \$n\$ ...
8 votes
5 answers
904 views

Pólya trees counted efficiently

The number of unlabeled rooted trees with n nodes is a fundamental sequence in graph theory and in discrete mathematics in general. Some authors call these trees 'Polya trees'. The number of these ...
29 votes
4 answers
951 views

Arranging Bubbles

Note, challenge copied from question asked at math.stackexchange. Recently, I attained quite some skill at blowing bubbles. At first I would blow bubbles like this: But then things started getting ...
17 votes
12 answers
822 views

Is this Sequence Graphic?

A graphic sequence is a sequence of positive integers each denoting the number of edges for a node in a simple graph. For example the sequence 2 1 1 denotes a ...
13 votes
3 answers
412 views

Counting the number of restricted forests on the Möbius ladder of length n

OEIS sequence A020872 counts the number of restricted forests on the Möbius ladder Mn. The Challenge The challenge is to write a program that takes an integer as an input ...
12 votes
2 answers
731 views

Count the trees

A tree is a connected, undirected graph with no cycles. Your task is to count how many distinct trees there are with a given number of vertices. Two trees are considered distinct if they are not ...