This issue is for keeping track of open problems related to Avatar Graphs.
It is not meant to be an exhaustive list of problems which solutions measure progress of understanding these graphs.
A todo-list can be distractive from working on the most important problems, because understanding which problems are important is harder than generating a list of problems. I believe it is likely that the key insights will come from unexplored ideas or questions which have not yet been asked. However, at the current stage, it might be easier to find those new ideas by organizing the existing ones.
Technical problems
These are problems which ideas are well understood, but might require theorem proving or review of mathematical literature.
This issue is for keeping track of open problems related to Avatar Graphs.
It is not meant to be an exhaustive list of problems which solutions measure progress of understanding these graphs. A todo-list can be distractive from working on the most important problems, because understanding which problems are important is harder than generating a list of problems. I believe it is likely that the key insights will come from unexplored ideas or questions which have not yet been asked. However, at the current stage, it might be easier to find those new ideas by organizing the existing ones.
Technical problems
These are problems which ideas are well understood, but might require theorem proving or review of mathematical literature.
2^n
nodes (Counter-proof exists. See https://github.com/advancedresearch/avatar_graph/issues/51)2^n
nodes?s(n)
, index set)Philosophical problems
These are problems which ideas are not well understood yet.