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Unable to find out left eigen vectors of symbolic matrix
The left eigenvectors are still expressed as right eigenvectors of M', meaning they satisfy a slightly different equation: syms...

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Program to find connected and non-isomorphic graphs
In the last loop, you are checking if adj is isomorphic to any previous graph. If there is one graph that adj is not isomorphic ...

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How can I invert a big matrix e.g. 1000-by-1000
When running inv on this matrix, there's a warning: >> M = inv(current_Fit_Mat); Warning: Matrix is close to singular or badly...

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Add an automatic TOC to an .mlx
You can go the "Insert" tab (just to the right of where it says "Live Editor" on top of the MATLAB window) and there's a button ...

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How to get a Table Contents in Live Script .mlx export to HTLM
You can go the "Insert" tab (just to the right of where it says "Live Editor" on top of the MATLAB window) and there's a button ...

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How is SVDS execution time related to the target rank?
So the goal of svds is usually to compute a requested rank that is much smaller than either size of the input matrix. A search s...

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How to solve eigs/checkInputs issue in EOF analysis?
The error here is happening because R eof>mycaleof is an empty matrix, and eof is trying to compute an eigenvalue of it. Looking...

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How to make the color in the "highlight" function stronger and well defined (not pale/transparent as by default) ?
Set h.EdgeAlpha = 1;

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How to find out isolated subgraph?
The component output in your code is the number of components. You can use the second output of conncomp to get a vector contai...

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Find all cycles (or the initial node of each cycle) in a very large directed graph (12m nodes, 6.7m edges)
Have you tried using 'MaxNumCycles' to only compute the first 100 / 1000 / 1e4 cycles? That could give some indication if it's c...

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Finding number of independent pathways in a graph
I'd expect the call to rmedge is the most expensive here. You could instead add edge weights for every edge in the graph, and th...

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Feature for eigs involving just positive eigenvalues
There's no option to do so directly, since it's not a common request and there's already a lot of option names in EIGS to dig th...

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Large sparse matrix LU decomposition
If the call to lu runs out of memory, but the call to decomposition(__, 'lu') doesn't, likely the reason is that decomposition u...

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Facing a unbalanced matrix, such as 3*5000, why someone reduce the computational cost by svd(A*A') .
The computational complexity of svd (when using the 'econ' option, which is very necessary for matrices that are far from square...

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Boundary 'edges' around node(s)
There is no option to do this as part of the graph plot directly. You can achieve it by turning off the node markers (set 'Marke...

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Minimum Spanning Tree - Path or Start-End
In general, you can't rely on the fact that a minimum spanning tree will just be one path. However, if you have a graph for whic...

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how to determine efficiency centrality of a node in Matlab
There isn't an efficiency centrality implemented in MATLAB. Based on the paper I quickly read, it seems you would best compute t...

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Graph Laplacian and adjacency matrix
Take a look at pdist in the Statistics and Machine Learning toolbox. If you apply this to your matrix, and then call squareform ...

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Matrix inverse with svd
Use one of A = [ 2 4 6; 8 5 7 ; 0 3 1] [U,S,V] = svd(A); V*inv(S)*U' V*(S\U') % The formula you're using above puts the par...

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Degree and influence of line of a node in network
The only reference for DIL I could find is a 2016 paper: Evaluating the importance of nodes in complex networks, J Liu, Q Xiong...

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How to find all the edges connecting a specific node with other nodes?
Use outedges to find the IDs of all outgoing edges, or neighbors to find all nodes connected to by these edges.

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Symbolic SVD for square matrix
The computation of the SVD in symbolic mathematics involves the solving of a polynomial equation of degree given by the size of ...

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Betweenness Centrality, Edge betweenness
For betweenness centrality, see centrality method of graph and digraph classes. Edge betweenness is not provided.

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How to create random graph?
You can use s = randi(n, e, 1); t = randi(n, e, 1); G = graph(s, t, [], n); which will give you a graph with n nodes and e e...

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Why do logical operators do not work with the eigenvalues of this matrix?
There's a small round-off error on the eigenvalue 1: >> TM = [0.1,0.2,0.7; 0.5,0.2,0.3;0.1,0.1,0.8]; [V,D] = eig(TM', 'vector'...

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Digraph with a single constrained axis
All algorithms for graph visualization that I'm aware of will compute both x and y (and sometimes z) coordinates for the nodes. ...

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how would i change an undirected network into a directed network on matlab?
It depends on what you want to the directed graph to look like. To replace every undirected edge with two directed edges going i...

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Both eig() and eigs() function calculate different eigenvalues depending on optional input values
The problems seen here are due to M being symmetric positive semi-definite. Such a matrix is numerically singular, which can hav...

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Warning: Matrix is singular to working precision: What exactly generates this warning?
The warning is generated based on an estimate of the condition number (specifically, the reciprocal condition number in 1-norm, ...

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Traverse a directed graph visiting all edges at least once?
There aren't any functions for MATLAB's graph object that solve this problem. Possibly you can formulate this as an optimization...

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