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Title: ELASTIC GRAPHS
An elastic graph is a graph with an elasticity associated to each edge. It may be viewed as a network made out of ideal rubber bands. If the rubber bands are stretched on a target space there is an elastic energy . We characterize when a homotopy class of maps from one elastic graph to another is loosening , that is, decreases this elastic energy for all possible targets. This fits into a more general framework of energies for maps between graphs.  more » « less
Award ID(s):
1358638 1507244
PAR ID:
10442720
Author(s) / Creator(s):
Date Published:
Journal Name:
Forum of Mathematics, Sigma
Volume:
7
ISSN:
2050-5094
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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