ELASTIC GRAPHS
Copyright policy )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.
- Indiana University United States
- DePaul University United States
58E20, 37E25 (Primary), 58E20, 05C21 (Secondary), 37E25 (primary), Metric Geometry (math.MG), Dynamical Systems (math.DS), elastic energy, elastic graph, Mathematics - Metric Geometry, QA1-939, Dynamical systems involving maps of trees and graphs, FOS: Mathematics, 05C21 (secondary), Harmonic maps, etc., Mathematics - Dynamical Systems, Flows in graphs, Mathematics
58E20, 37E25 (Primary), 58E20, 05C21 (Secondary), 37E25 (primary), Metric Geometry (math.MG), Dynamical Systems (math.DS), elastic energy, elastic graph, Mathematics - Metric Geometry, QA1-939, Dynamical systems involving maps of trees and graphs, FOS: Mathematics, 05C21 (secondary), Harmonic maps, etc., Mathematics - Dynamical Systems, Flows in graphs, Mathematics
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