ELASTIC GRAPHS
    
    
  
  
  
      
      
      
        
Forum of Mathematics, Sigma, Tome 7 (2019)
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Cambridge University Press
            
              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.
            
            
            
          
        
      @article{10_1017_fms_2019_4,
     author = {DYLAN~P. THURSTON},
     title = {ELASTIC {GRAPHS}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {7},
     year = {2019},
     doi = {10.1017/fms.2019.4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2019.4/}
}
                      
                      
                    DYLAN P. THURSTON. ELASTIC GRAPHS. Forum of Mathematics, Sigma, Tome 7 (2019). doi: 10.1017/fms.2019.4
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