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plotting - When using GraphPlot with an adjacency matrix, how can I make Mathematica draw exactly one self loop for any non-zero weight?


I have tried using the option MultiedgeStyle->None, but apparently Mathematica doesn't treat self loops in the same way it treats edges. For example, I find


GraphPlot[{{1,2},{2,0}}, SelfLoopStyle->All, MultiedgeStyle->None]

Graph with one self loop



while the same command, but with twice the weight on the self loop gives


GraphPlot[{{2,2},{2,0}}, SelfLoopStyle->All, MultiedgeStyle->None]

enter image description here


I would like the output from both commands to be the same. I know I could write a function to replace all non-zero values on the diagonal with 1, but I'd prefer not to for two reasons. One is that it seems as if this should be possible without resorting to that, and the other is that I'm actually using this inside another routine to draw graphs with edge weights displayed, to get output such as


enter image description here


where the label inside the self loop should list the correct weight, taken from the diagonal of the adjacency matrix. Removing the diagonals for later labeling then changing them in the adjacency matrix just seems like a hack.




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