Abstract: We discuss the role of geometry and topology in reasoning processes re-lated to wireless and wired communication networks. We focus especially on future research directions on enabling autonomic reasoning taking place within the networks themselves. This work is a part of our ongoing effort to better understand future “cog-nitive communication systems ” that are likely to employ various adaptive techniques, also borrowing from artificial intelligence research community to optimise their be-haviour in an automated manner. As the field is very young, we mainly attempt to succinctly review and organize the state-of-the-art, and identify areas in which further research is urgently needed.
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