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Graph magnitude homology via algebraic Morse theory

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arxiv 1809.07240 v1 pith:LHTHT3UM submitted 2018-09-19 math.CO math.AT

Graph magnitude homology via algebraic Morse theory

Yuzhou Gu This is my paper
classification math.CO math.AT
keywords diagonalhomologymagnitudealgebraiccomputegraphgraphsmorse
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We compute magnitude homology of various graphs using algebraic Morse theory. Specifically, we (1) give an alternative proof that trees are diagonal, (2) identify a new class of diagonal graphs, (3) prove that the icosahedral graph is diagonal, and (4) compute the magnitude homology of cycles. These results answer several questions of Hepworth and Willerton [HW17].

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Cited by 4 Pith papers

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