Questions tagged [pattern-matching]

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4 votes
2 answers
320 views

Number of Salem–Spencer subsets of $\{1,2,3,\dots ,n\}$

I was wondering about sets that do not contain any $3$-term AP, and came to know that the official name of such a set is Salem–Spencer set. I was considering the question of counting the number of ...
Sayan Dutta's user avatar
3 votes
0 answers
239 views

On thickness of binary polynomials

OEIS A169945 introduces the concept of thickness of a polynomial as the magnitude of the largest coefficient in the expansion of the square of the polynomial. Considering the $2^{n+1}$ polynomials $p(...
Sayan Dutta's user avatar
-2 votes
1 answer
212 views

Can the same dataset be described as Chaotic & Pareto/ Power law distribution?

I'm trying to abstract the mathematical part of the problem as much as possible before the details follow, There's this dynamic data set that's $O(2^{32})$, a recent result described it as a power-law ...
ShAr's user avatar
  • 5
0 votes
1 answer
152 views

Find cycles with specific weights in complete graph

Assume I have an undirected edge-weighted complete graph $G$ of $N$ nodes (every node is connected to every other node, and each edge has an associated weight). Assume that each node has a unique ...
jadball's user avatar
  • 11
2 votes
0 answers
151 views

Graph pattern matching

Given a weighted, oriented, connected graph with $10^7$ vertices and $10^{10}$ edges I need to implement the algorithm for searching various patterns on this graph for less than polynomial time. ...
ilia's user avatar
  • 153
2 votes
1 answer
119 views

What is the most appropriate ML technology or math tool for classifying/recognizing 2D scatter plot shapes? [closed]

I would like to be able to automatically classify an input scatter plot into a limited, predefined set of 2-D scatter plots (see attached image), such as a Circle, a Cross, a Straight Line and a Curvy ...
Oke Uwechue's user avatar
12 votes
2 answers
1k views

Why does this Moiré pattern look this way?

I was making some gifs of Mobius transformations in Matlab, and some strange patterns began to appear. I'm not sure if a deeper knowledge of the filetype/algorithm is needed to understand this ...
B H's user avatar
  • 387
2 votes
0 answers
231 views

On the cardinality of the set of right-truncatable primes

We say that the (base ten) prime number $p=a_{n}a_{n-1}a_{n-2}\cdots a_{1}a_{0}$ is right-truncatable if all of the following numbers are prime: \begin{eqnarray*}a_{n},\\a_{n}a_{n-1},\\ a_{n}a_{n-1}...
José Hdz. Stgo.'s user avatar
1 vote
0 answers
123 views

Expressing Numbers with a Minimal Sum in Powers of 2 [closed]

The first 64 bits of pi are: 11.00100100001111110110101010001000100001011010001100001000110100 Computer multiplication can be sped up by looking for patterns and ...
bobuhito's user avatar
  • 1,537
1 vote
1 answer
481 views

Shortest absolute value of path in graph

Suppose we have a weighted, acyclic digraph, with positive and negative edge weights. Is there an algorithm that determines whether there is a path of weight zero between vertices A and B? The ...
Charles Bailey's user avatar
9 votes
2 answers
352 views

Finding local patterns in a circular list

Consider a list $\boldsymbol{x}=x_0,x_1,\ldots,x_{n-1}$, which we consider to be circular by taking the subscripts modulo $n$. The entries in the list are distinct integers. A local pattern is a ...
Brendan McKay's user avatar
3 votes
1 answer
311 views

Stricter permutation patterns

(I asked this ten days ago on math.SE, but I received no reply, so I'm trying again here.) A lot of work has been done on patterns in permutations, where a permutation is said to match a given ...
Anthony Labarre's user avatar