The Reeb Graph Edit Distance is Universal
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DOI: 10.1007/s10208-020-09488-3
Abstract: We consider the setting of Reeb graphs of piecewise linear functions and study distances between them that are stable, meaning that functions which are similar in the supremum norm ought to have similar Reeb graphs.… read more here.
Keywords: distance; reeb; edit distance; reeb graphs ... See more keywords
A finite graph is homeomorphic to the Reeb graph of a Morse–Bott function
Sign Up to like & getrecommendations! Published in 2020 at "Mathematica Slovaca"
DOI: 10.1515/ms-2021-0018
Abstract: Abstract We prove that a finite graph (allowing loops and multiple edges) is homeomorphic (isomorphic up to vertices of degree two) to the Reeb graph of a Morse–Bott function on a smooth closed n-manifold, for… read more here.
Keywords: graph morse; reeb graph; graph; morse bott ... See more keywords