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I'd like to solve the Limit of the following Sequence on Mathematica 12 : DiscreteLimit[(1 + Sin[Pi*Sqrt[4*n^2 + 1]])^n, n -> Infinity] No results given by Mathematica. But I do some corresponding equivalent deformation, ...
As title said, how to generate a random connected graph? I test the function **RandomGraph**, but it can't make sure to be connected. How to realized it on Mathematica?
I use following codes, but the mathematica don't display the graph, how to see it ? a1 = CompleteGraph[{4, 6}, VertexLabels -> Automatic] EdgeAdd[a1, {11 5, 12 5, 13 5, 11 6, 12 6, 13 6, 11 7, 12 7, 13 7}]
---------- As we know, ***graph join: graph with all the edges that connect the vertices of the first graph with the vertices of the second graph***. I'd like to realized it in Mathematica. What function can be used ? I see the...
Hi, there are two list fs, fi;: fs = Range[6]; fi = {"a", "b", "c", "d", "u", "y"}; I would like to create following list more efficiently not input again: {1 -> "a", 2 -> "b", 3 -> "c", 4 -> "d", 5 -> "u", 6 -> "y"} How to do
Hi?everyone! I want to draw a ladder graph, so I use the **GridGraph**[{2, 10}] . I'm especially looking forward to the new3D effects. So I use the **GraphPlot3D**, and I want to specify the coordinates in 3D graph. I want it to be output more...
How to define the following matrix: the order of matrix is n, In other word, I want define the matrix function of n and i represents the imaginary unit. ![enter image description here][1] [1]:...
Hi? I konw the function **FindIndependentVertexSet[g, {n}l]** which finds an independent vertex set with exactly n vertices. We konw 4- Path graph, every single vertex is its 1- indepent vertex set . but we use the function...
Hello everyone; As the function of GraphData[3] executes, outputs the results shown below GraphData[3] {{"Empty", 3}, "P2+K1", {"Path", 3}, "TriangleGraph"}} How to present these graphs of list of above? Just like following...
Hellow everyone I downloaded a notebook about Cactus Graph downloaded from *http://mathworld.wolfram.com/CactusGraph.html.* **I want to get all cacti Graph of order 8.** But I don't know how to **use** the program from it. what ...