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arxiv: 1809.07240 · v1 · pith:LHTHT3UMnew · 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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