A Special Case of Completion Invariance for thec2Invariant of a Graph
AbstractThec2invariant is an arithmetic graph invariant defined by Schnetz. It is useful for understanding Feynman periods. Brown and Schnetz conjectured that thec2invariant has a particular symmetry known as completion invariance. This paper will prove completion invariance of thec2invariant in the case where we are over the field with 2 elements and the completed graph has an odd number of vertices. The methods involve enumerating certain edge bipartitions of graphs; two different constructions are needed.
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Vol 36
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pp. 492-493
2016 ◽
Vol 32
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pp. 204-214
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2019 ◽
Vol 3
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pp. 209-222
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