For questions about the functionality related to permutations in Mathematica.

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2
votes
3answers
134 views

How can I get from a list of characters representing a permutation to graphics showing the cycles?

I am trying to graphically represent cycles in various permutations of the alphabet, and have a question in two parts. I have ...
-1
votes
2answers
142 views

Want to compute the permutations of {1, 2, …, 11} with only 3 GB of memory [duplicate]

There is another way to calculate Permutations [{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}] without triggering an error, I have 3 GB of RAM with WIN 7 Edit: This ...
9
votes
2answers
359 views

What is the fastest way to get the nth distinct permutation of a list?

What is the fastest way to write a function nthPermutation[xs_List, n_Integer] which is equivalent to Permutations[xs][[n]] but ...
3
votes
1answer
73 views

How do I create a logical permutation expression automatically

How can I create a permutation automatically with logical expressions ? For example (2 logical variables): ...
2
votes
3answers
105 views

How to merge permutations obtained from Solve on multiple variables?

When I compute the following expression to find integer solutions of the equation (x^2 + y^2 + z^2 == 14^2) ...
5
votes
4answers
190 views

Sort two lists at the same time, based on another

I am new to using Mathematica and I can not find a solution to what I am wanting to do. I want to take a list such as: x = {1,2,3,4,5,6,7,8} and a second list ...
0
votes
2answers
93 views

Finding permuations in a specific order

I would like to find the following permutations, but need an elegant way of computing it. Ideally I would like to have a variable determine the highest number in the last element and find all ...
3
votes
2answers
102 views

Generating permutations of at most 'n' elements, and where a specific subset of elements always appears

I often run into a situation where I'd like to generate a set of permutations with at most $n$ elements (here $n = 5$): ...
2
votes
2answers
105 views

Generating a permutation of elements in chunks

Is there a way for me to generate a list of permutations in "chunks" such that I needn't store everything on RAM all at once? Consider that (WARNING: DO NOT RUN! --- Will generate a list with 13! = ...
0
votes
0answers
33 views

Permute indices of a large sparse array

I'm starting with a very large rank 3 tensor, F, that is stored as a SparseArray, and I need to permute its indices. I first tried using ArrayRules to get the positions of the non-zero elements, to ...
7
votes
5answers
938 views

Check if two lists are equal in any order

Suppose I have two lists, how can I efficiently check if the two lists are identical up to permutations of the elements? For example I would like the function to output: ...
8
votes
4answers
287 views

Using Permutations to create numbers

I'm a high school math teacher working on a simple high school math problem involving permutations. I like to try to check answers to some of these problems since it helps "convince" the students ...
3
votes
2answers
166 views

How to define even permutations correctly?

I define even permutations as following, but there may be some error. I use it in two different way and get different output. ...
2
votes
2answers
132 views

The i-th element of a permutation [duplicate]

I am trying to run something of the form ...
0
votes
0answers
49 views

Generate all strings of fixed length from an alphabet [duplicate]

I am trying to create all possible strings of length $8$ from the alphabet $\{+1,-1\}$. I am trying to get help from this question. But not sure where to start from. Any help?
2
votes
2answers
46 views

How to further process a 2 dimensional list created with tuples

I created with Tuples[{{USD, EUR, JPY}, {UP, DOWN}}] the following result: ...
1
vote
0answers
129 views

How to sequentially select, from a large set of tuples (of matrices), those with a certain property

I'm interested in finding a computationally efficient way for selecting all tuples of matrices which have a certain property. The property I'm interested in is that I want the column sum, of f[the ...
0
votes
1answer
66 views

Any command for group products?

Is there any Mathematica command or well known technique to take the direct product between two symmetric/permutation groups?
1
vote
2answers
139 views

Test if a list is a permutation of another list

This question may have a simple answer, but I can't find it anywhere in the documentation. I'm trying to find a function that tells me whether a list is a permutation of another list. So the function ...
2
votes
2answers
197 views

Permuting elements within a list

I have s = {2, 3, 5, 7, 1, 4, 6} (* always with diffente elements in {1,2....7}*) l = Length[s] n = 3 and n tells us that we ...
2
votes
2answers
101 views

Counting the permuted forms of a list with repeated members under a permutation group

DeleteDuplicates[Permute[{g, g, g, g, g, e, r}, AlternatingGroup[7]]] How to count number of lists automatically?
3
votes
2answers
268 views

Need to create a function to generate all permutations of Range[$n$] [duplicate]

Basically I need a function that takes a list and gives all the possible permutations of it. The reason I can't use Permutations is that I have to apply another ...
7
votes
1answer
130 views

Equivalence under common permutations

I have lists which consists of sublists of equal length. The outer list is regarded as a multiset (that is, permutations of the sublists don't matter, but repetitions do), but the order in the ...
0
votes
2answers
70 views

How to obtain all the partitions in a set $A$ such that the union of these partitions equals $A$?

I'm trying to make a visual proof on the irrationality of $\sqrt{2}$. At the moment, I've created a figure to show that $b^2$ elements always constitute a square: And I want to show that it's not ...
0
votes
1answer
82 views

Why do Permute and PermutationReplace not invert one another? [closed]

Why do Permute and PermutationReplace not invert one another, as stated in the documentation? If we have an identity ...
1
vote
0answers
65 views

Challenge: Creating Compilable Permutations Function

As Mathematica's implemented Permuations function is not compilable I tried to write my very own Permutations implementation, called ...
0
votes
1answer
54 views

Error while transponsing a tensor [closed]

I am trying to execute following: TensorTranspose[Outer[D, metric, x], {2, 3}]. And Mathematica says me ...
1
vote
2answers
166 views

Permutations with restrictions

I have a problem that can be modeled as: there are 8 boxes in total, and 60 different items. I want to put all items into boxes (all of them can be put into a single box). Now I want to find: 1) ...
0
votes
1answer
57 views

Optimise CPU-intensive list combining function

I have a list of numbers list1 from which I want to create another list (list2) consisting of only those numbers that are equal ...
1
vote
1answer
73 views

How to get all permutation of k-partition

If I want to get the list of k-partition, and the rule are below: here are k partitions all elements of partition are in the range of 1 to 30. the total of ...
2
votes
1answer
250 views

Finding the optimal teams ranking based on the table of match results

My original question was this: So my task is to score all the possible rankings of the 14 SEC football teams and find the best one, using who won in head-to-head games as the sole criterion ...
0
votes
1answer
65 views

How to find all subsets which the total of elements is the same?

I want to find all subsets which the total of elements is the same. For example, Subsets[Range[30], {5}] means all 5-element subsets and the range of each element ...
6
votes
3answers
735 views

neighbor swapping distance between two strings

Updated Problem Description I have a collection of strings $S$ that only contain two (or $m$ in general) kinds of elements: in this case C and D. For all $s\in S$, the length is the same, the number ...
4
votes
3answers
160 views

Permutation count for sets with multiplicities

I am able to do a permutation counr for the set {a, a, b} which gives me 3 groups. I am happy with that result. However, if the set is ...
1
vote
0answers
190 views

Efficient submatrix swaps for large sparse matrix

I am implementing the 'swap' algorithm for a binary matrix to generate matrix permutations that maintain row and column totals. My problem is that my matrices are large and sparse (e.g., 19774 x 942, ...
5
votes
4answers
255 views

How to split a list with respect to its nested sublists?

I have a problem with the following task: having some nested list list = {{k6},{k1,k3,k5},{k7}} I would like to replace all sublists by their permutations and ...
12
votes
4answers
385 views

Equivalent Nested Loop Structure

Consider the following examples: ...
4
votes
2answers
152 views

Permutations: selecting reviewers without conflicts of interest

I would like to automate the process of selecting a number of proposal reviewers that fit a conflict of interest criterion. Let's say I have 5 reviewers and 5 applicants from 5 departments. The ...
1
vote
2answers
1k views

Create simple table with function of column values

I just want to create a simple table: Three input columns, one output column Call the inputs {x,y,z}, each can take values ...
0
votes
2answers
246 views

Replace Do loop with Nest

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5
votes
4answers
431 views

How can I generate permutations of bit strings with repetition?

How can I write a function which has two parameters and it should generate combination of arbitrary range bits, for example: function[n, k], with ...
1
vote
1answer
197 views

Maximize over permutations

I have a set $S=\{s_1,\ldots,s_k\}$ and would like to maximize a fixed expression over permutations of $S$: $\max f(x_1,\ldots,x_k)$ with $x_i\in S$ and $x_i=x_j\Rightarrow i=j$. Is there a ...
9
votes
6answers
414 views

Performing Computations on Sets

I would like to find a permutation of $\quad S=\{\frac{1}{10}, \frac{1}{2}, \frac{4}{7}, \frac{3}{5}, \frac{2}{3} \}\quad$ that maximizes the sum of theses elements raised to unique powers: ...
1
vote
2answers
199 views

Apply confusion in Do loop

I am trying to apply InversePermutation on a list of sublists of selected permutation elements. First I am trying to see if I am able to reach every element, ...
2
votes
1answer
104 views

PermuteSubgraph not working? (Combinatorica)

I am trying to write a code to perform the QAP partialling analysis (here's a paper to know more) but the part in which I "scramble" the graph with PermuteSubgraph does nothing, I am actually not ...
4
votes
2answers
244 views

How to enumerate multisets?

Given the eight-element set {1,2,3,4,5,6,7,8}, I would like to enumerate all multisets (subsets with repetition) of size n, ...
6
votes
2answers
313 views

Find all permutations with a condition

How can I find all the permutations of {a, b, c} where a + b + c = n? For instance: if ...
8
votes
3answers
304 views

Reduce the output from tuples by including symmetry?

I need all the possible 3x3 binary tensors, but I'd like to have this account for symmetries. I've started by using the Tuples command. Tuples[{1, 0}, {3, 3}] ...
9
votes
2answers
520 views

How to represent a list as a cycle

I want to select distinct cycles (represented by List). The cycle {a, b, c, d} must be the same as {b, c, d, a} or ...
9
votes
2answers
259 views

Combining nested lists that meet certain criteria for a permutation

I have the following list representing a permutation on 26 characters: ...