Questions tagged [paper-reproduction]
Questions on reproducing results in paper/thesis/dissertation. Remember to make the question self-contained and clear, and show enough effort.
22 questions
0
votes
0
answers
15
views
Fibonacci word generator and Density of Fibonacci subwords
Reference: arXiv:2505.00602
Reproduce Table I
...
0
votes
1
answer
135
views
Accelerate Mathematica code computing visibility polynomial of one graph
Let $G$ be a graph of order $n$. Then the visibility polynomial, $\mathcal{V}(G)$, of $G$ is defined as
$$
\\
\mathcal{V}(G)=\sum_{i\geq 0} r_i x^{i}
\\
$$
where $r_i$ denote the number of mutual-...
0
votes
1
answer
111
views
Mathematica demonstration: Frozen-corner enumeration of (ASMs) Alternating Sign Matrices [closed]
Besides the Mathematica code provided in arXiv:2509.14006, I made some complement to it.
...
5
votes
3
answers
549
views
Compute the integer hull of a polyhedral set in Mathematica
Computing the integer hull of a polyhedral set creates the smallest convex set (polytope) containing all the integer points within the original polyhedral set.
(? The two convex hulls have the same ...
0
votes
0
answers
76
views
How to solve the all-terminal network reliability problem in Mathematica?
I like to reproduce the algorithm(s) provided in https://arxiv.org/abs/1709.08561 to solve the all-terminal network reliability problem:
Given an undirected connected graph $G$, suppose each edge is ...
2
votes
1
answer
183
views
Density Plot Is Plotting Points Absent In Dataset
I like to generate the plot (fig.1 (a)) given in https://arxiv.org/pdf/1811.05496. But DensityPlot interpolating data points and plotting data that is not there in the dataset. I want something like ...
0
votes
1
answer
613
views
Find positive-integer tuple satisfying constraints [closed]
I am reading an interesting paper One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational by Zudilin. We fix odd numbers $q$ and $r$, $q\geq r+4$ and a tuple $\eta_0,\eta_1,...,\eta_q$ of positive-...
1
vote
0
answers
110
views
Solution of the system of Equations using iterative Varga's Algorithm?
I am working on research article with link https://www.sciencedirect.com/science/article/abs/pii/S0378475421004560
It contains dimensionless non-linear equations mentioned in article.
I am writing the ...
9
votes
2
answers
546
views
Numerical simulation of dynamical systems on torus: periodicity of variables
Suppose we have the following system of ODEs,
...
2
votes
0
answers
125
views
Results of Colin de Verdière's graph invariant calculations do not correspond to the nature of the graph under study
I decided to test Colin de Verdière's graph invariant method and use it to estimate the planarity of a graph.
The materials I used:
https://en.wikipedia.org/wiki/Colin_de_Verdi%C3%A8re_graph_invariant
...
8
votes
1
answer
567
views
Mathematica code involving floor function
I am reading an interesting paper One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational by Zudilin. Define $$\varphi_0(x,y):=\sum_{j=1}^{3}([y]+[\eta_0x-y]-[y-\eta_j x]-[(\eta_0-\eta_j)x-y]-2[\...
2
votes
2
answers
147
views
How can I reduce the degree of a polynomial in two variables by substitution?
This is similar to the how-to-replace-variable-with-power question, but here it involves two variables with different power combinations.
This quesion arises from paper forward kinematics of the 6-6 ...
2
votes
1
answer
331
views
Issue with plotting piecewise function
I tried to plot the critical meniscus height of a liquid near a vertical rod (pulling upward) (radius, $r_0$) using the nondimensionalized equation (as $z=y/r_0$ and $r=x/r_0$) given in this paper, ...
6
votes
1
answer
329
views
How to Numerically Solve the Steady State of a Lindblad Equation with Parity Symmetry?
I am trying to reproduce some figures from this paper. like below:
The effective Hamiltonian of the system is
\begin{align}
H_{\text{eff}} = \frac{3g_x^2}{\omega} |e\rangle \langle e| + \frac{2g_x^...
5
votes
2
answers
343
views
Jagged results from using NDSolve
I am trying to reproduce results from this paper, which involves solving a fourth-order differential equation.
After setting the various parameters:
...