# Questions tagged [subset]

Questions on the usage of the Subsets command and related functionalities (Tuples, Permutations etc.), and on how to implement more efficient algorithms.

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410 views

### Count all co-occurances of a pair of strings in a list of lists

I am trying to obtain a co-occurance matrix for pairs of names in a collection of groups of names. So, I have a collection of letters in small groups, such as ...
252 views

### How can I optimise the creation of subsets?

I have a list of 21 elements from which I have obtained possible combinations of minimum 3 and up to 10 elements using the Subsets function as follows: ...
115 views

### How to make two sub-sets each with two distinct elements having a list with 4 elements?

Consider the following list: list = {{meson1, p1}, {meson2, p2}, {meson3, p3}, {meson4, p4}} I would like to organize it into two sub-sets, each with two elements, ...
893 views

### Find the farthest pairs of two points in 2-dim

I wonder if Mathematica can find the pairs of two points that are the farthest in a given list. Let's say a list, XYlist, of points with (x,y) coordinates. ...
1 vote
42 views

### Creating a Table of Squared Differences through a Single Function

I am having trouble creating a table of squared differences within a single function. I can manually create this table through creating six different alphaDiff ...
160 views

### How to generate 3-subsets that satisfy certain conditions without post-filtering?

Edits: In fact it is a set partition problem. I have a set as follows: ...
230 views

### Finding a subset in the set of the digits of Pi

Well, I want to find the first position where the digits of Pi are {a,b,c,...,z}. So to find the first n digits of Pi and put them in listform I used: ...
252 views

### How to select elements from a list of pairs based on first element belonging to a different list?

This is my very first question and I really appreciate this ability and thankful the community. I have two lists and need to select only those pairs from the first list, first element of which is ...
347 views

### Check ordered subset in list

I need to find a function that checks if a list is contained in a larger list RESPECTING the order of the smaller one. For example check[{a,b,c},{a,d,b,c}] would ...
138 views

### How to find a specific spanning subgraph?

A spanning subgraph is a subgraph that contains all the vertices of the original graph. Given a graph $G$, I would like to write a function $f$ for finding a spanning 5-regular bipartite connected ...
1 vote
83 views

### KSetPartitions function with fixed points

I'm trying to develop a function that computes some numerators for scattering amplitudes and I need to generate a collection of tree diagrams that contain a set of particles (effectively numbers) <...
60 views

### How do I compose a list from an Association such that the final product matches a fixed percentage of each of four subsets?

My question is in two parts. The first is about picking discrete elements inside a list of Associations to match a fixed percentage of a final sub-list; the second is about overcoming the rounding ...
223 views

### Dropping list elements that are members of other lists [closed]

I have a set: $$A=\{\{1,2,3\},\{1,3,2\},\{2,1,3\},\{2,3,1\},\{3,1,2\},\{3,2,1\}\}$$ I want to drop elements found in sets B and C from A. $$B=\{\{1,3,2\},\{2,1,3\}\}$$ $$C=\{\{3,1,2\},\{3,2,1\}\}$$ ...
744 views

### How to generate Venn diagram from a universe and 3 random sets?

Given a universe u with random numbers between 1 and 50 and three sets a,b,c, that have random numbers a between 3 and 30, b between 2 and 40 and c between 4 and 49 How can I represent the sets a, b ...
207 views

### How can I subtract and calculate the complement of a pair of sets? [closed]

I cannot properly implement these operations. How can I do it? This is a reduced example: A={2,3,4} B={2,4,6} C={1,2,3,4} Find ...
396 views

### Is there a function to generate “subsets” allowing duplicates?

I allow them to be chosen more than once (e.g. allow {1,1}). (A subset means every element is chosen once or less) Also I neglect the order (e.g. ...
116 views

### select subset of combinations based on condition

My question is about choosing a subset of combinations within a list, based on a condition. Fot example, a shop sells 26 products. The name of a product starts with a letter. Each product has a price. ...
440 views

### How to obtain all subsets of a list with repetition?

I'd like to generate all lists of length m containing all possible element combinations from a given list of length n with ...
65 views

### List X is a starter of List Y

For lists X and Y, let's define a term 'X is a starter of Y' to be 'there exist a list Z such that Y = Join[X,Z]'. Until now I've used following code for 'X is a starter of Y' ...
28 views

### ordered set inclusion 2

Slightly change the previous question, ordered set inclusion, Now, consider $A=\{2,3\}$ and $B=\{2,3,4,5\}, C=\{5,2,4,3\}$, Now I want to make element $\{2,3\}$ is in $B$ as well as $C$, what can be ...
42 views

### ordered set inclusion

Suppose I have a ordered set $A=\{2,3\}$ and $B=\{2,3,4\}$ and $C=\{2,4,3\}$. Is there any mathematica command whether $A\subset B$ gives true(or 1) but $A$ which is not a subset of $C$ gives false(or ...
272 views

### How do you turn a normal intersection to a strict one for arbitrary number of sets?

What is the best way to generalize the following interaction of 3 sets to any number of sets: ...
168 views

### Delete the sublist which can be others' subsets

given lst = {{1, 5}, {2, 5}, {6, 8}, {6, 8, 9}} I want to remove all the sublists which is any other's subset. For the above example, remove ...
128 views

### k-subsets of several sets?

Problem: Let A and B be lists of lists of integers. I wish to find every k-element set, ...
1 vote
117 views

### How to determine the domain (intersection and disjoint set) of two functions define on a set? [closed]

Suppose I have two multivariate functions $f(x,y,z)$ and $g(x,y,z)$ such that $0<x<1,0<y<1,0<z<1$. $f(x,y,z)$ is defined on values satisfying $\{0<x<1,0<y<1/2, z>y\}$ ...
1 vote
54 views

### Letter Combination Plot

How do I make a plot that displays the total number of letter combinations of n letters (from n=1 to 26)? I've been trying with subset but can't get the syntax right.
1k views

### Generate only unique combinations when input contains duplicates

I have a list with repeated elements, such as list = {a, a, b, c, c, c} and I'd like a list of the unique ways to choose 3 elements from it: ...
135 views

### Symbolic Subset Sum Problem

I am interested in solving the following problem with Mathematica, but I do not know if it can be done or how it could be done. Given a finite set of terms $M=\{a_i(p_1, \ldots,p_m) \}_{i=1}^n$, ...
313 views

### Graph that visualizes subset relations

First, off I am a bloody beginner when it comes to programming in general and Mathematica in particular. I only started using it so I can make sense of my suggestions for the semantics in my syntax ...
151 views

### Simple way to decompose a lists in a certain way?

I want to decompose one list into sublists (each sublist is given by certain lengh and the sum of every sublist is given by the maximun number in lists). For ...
116 views

### Creating pairs of non-intersecting set from a given set

Let's say I have a set {a,b,c,d} and I want to create a list of pairs {{a,b,c,d},{}},{{a,b,c},{d}},{{a,b,c},{}},... such that there is no intersection between each pair, and they do not need to use ...
83 views

### How to find disjoint subsets such that union of the sets give the motherset or main set?

Let us define a set $\mathcal{S}=\{1,2, 3,\cdots,67\}$. I have a list of 132 subsets. I want to obtain 16(or 17) mutually exclusive subsets such that union of such 16(or 17) is equal to $\mathcal{S}$...
1 vote
128 views

### Generating all possible subgraphs from an adjacency matrix

I have an adjacency matrix given by am. I want to generate all possible subgraphs with 6 nodes. Here is the code I am using to generate them. But, I am getting some error: ...
108 views

### Calculate plausibility in Dempster-Shafer theory

I want to use Mathematica to show which subsets of a power set are required to calculate the plausibility for a given set in a power set. This has lead me to compute a summation with a ...
186 views

### Generate list of tuples, modulo PermutationGroup

I have a permutation group, e.g. g = PermutationGroup[{Cycles[{{1, 2}}]}] but not necessarily limited to a single generating cycle. What I want is to create a ...
110 views

### Iterating over pairs in a list

Take a look at this code: ...
138 views

### Delete duplicates and sort a list of sets separately? [closed]

I have a set where it has three subsets. I want to have each element of each subsets appears only once, sorted, but the order of subsets does not change. For example: I want to get from  \{\{5,2,2,3\...
823 views

### Subsets of a multiset

The function Subsets[] returns the subsets of a finite set of elements. This function has a shortcoming in that it treats repeated elements distinctively. Is there ...
247 views

### Finding maximal elements of partially ordered sets

I am dealing with partially ordered sets $\Gamma$, which I represent as directed graphs with an edge going from $a$ to $b$ if $a \leq b$ in $\Gamma$. For example the following graph, ...
781 views

### Summation over integers satisfying some conditions

$n$ is a fixed positive integer and $p$ is the largest prime $\le n$: p = Prime[PrimePi[n]] For each subset $L$ of positive composite integers less than or ...
1 vote
428 views

### Creating subsets of lists of lists which have certain properties

PREFACE: This question is about a proper algorithm and its implementation. I will explain the problem as detailed as possible and will give my current algorithm as well as two more possible solutions ...
65 views

### determine the structure of Data in sum of two subsets Modulus $n$

I wrote a code below to determine the cases when two subsets of a set $\mathbb{Z_n}=\{0,1,2,\ldots,n-1\}$ are added together element by element (without removing the multiplicity) in $\mathbb{Z_n}$ ...
823 views

### Is there concise code for the list operation I want to perform?

Is there any concise syntax for the following partitioning of a list. Given {1, 2, 3, 4}, I want to get the output as shown below. I have tried various function ...
1 vote
112 views

947 views

### unordered Tuples [duplicate]

I gather from this question that there is no primitive to build unordered tuples. That is, I want to do the equivalent of the following: ...
149 views

### Product of set elements not exceeding a bound

I have a set of distinct positive integers l (if you wish, you may assume it is a list ordered by size), and a bound lim. In ...
1 vote
115 views

### Group list by rules in sequence using DateDifference and Total

I have a list and would like to group it into sublists using a couple rules. First rule: the date difference between sequential elements is less than 3. Second Rule: the total of the second ...
1 vote