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arXiv · 1809.07240

Graph magnitude homology via algebraic Morse theory

Yuzhou Gu
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Abstract

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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Yuzhou Gu. 2018-09-19. Graph magnitude homology via algebraic Morse theory. https://arxiv.org/abs/1809.07240

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