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2020 Discrete Morse functions, vector fields, and homological sequences on trees
Ian Rand, Nicholas A. Scoville
Involve 13(2): 219-229 (2020). DOI: 10.2140/involve.2020.13.219

Abstract

We construct a discrete Morse function which induces both a specified gradient vector field and homological sequence on a given tree. After reviewing the basics of discrete Morse theory, we provide an algorithm to construct a discrete Morse function on a tree inducing a desired gradient vector field and homological sequence. We prove that our algorithm is correct, and conclude with an example to illustrate its use.

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Ian Rand. Nicholas A. Scoville. "Discrete Morse functions, vector fields, and homological sequences on trees." Involve 13 (2) 219 - 229, 2020. https://doi.org/10.2140/involve.2020.13.219

Information

Received: 15 March 2019; Accepted: 5 March 2020; Published: 2020
First available in Project Euclid: 25 June 2020

zbMATH: 07184482
MathSciNet: MR4080492
Digital Object Identifier: 10.2140/involve.2020.13.219

Subjects:
Primary: 05E45
Secondary: 05C05, 57M15, 68R10

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.13 • No. 2 • 2020
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