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20200701 20:11:40 +0200  commented answer  Adding edges to a graph wow this exactly anticipates what I was going to do next, thanks so much for the thorough answer! 
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20200630 22:23:58 +0200  asked a question  adding an edge to a graph This is my first time using this forum so please let me know if more information is needed I am trying to some basic conjecture testing, so I'm not too concerned about runtime. I am trying to count graphs which are "maximal trianglefree and 3colorable", ie trianglefree and 3colorable, and adding any missing edge breaks one of those 2 properties. But I don't know how to test that property about adding edges to a graph, since I don't know how to add edges to a graph. I'm mainly using the Sage page on undirected graphs. My rudimentary code so far is below:

20200630 22:23:58 +0200  asked a question  Adding edges to a graph This is my first time using this forum so please let me know if more information is needed I am trying to some basic conjecture testing, so I'm not too concerned about runtime. I am trying to count graphs which are "maximal trianglefree and 3colorable", ie trianglefree and 3colorable, and adding any missing edge breaks one of those 2 properties. But I don't know how to test that property about adding edges to a graph, since I don't know how to add edges to a graph. I'm mainly using the Sage page on undirected graphs. My rudimentary code so far is below: list 