Egor Urvanov

Homology

Groups, moves and rules · first homology of a graph

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A way to write a loop with numbers: how many times each segment is walked forward minus how many times backward. The order of the walk is lost: two loops passing the same segments in a different order are written the same way. In the paper on the game “step and lift”, the relation module is the first homology of the game map (the Cayley graph).

Source: Wikipedia: Homology (mathematics)

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