2 papers
math.CO2017
Extensions and Applications of Equitable Decompositions for Graphs with Symmetries
Amanda Francis, Dallas Smith, Derek Sorenson +1
We extend the theory of equitable decompositions, in which, if a graph has a particular type of symmetry, i.e. a uniform or basic automorphism , it is possible to use to dec…
math.CO2015
Equitable Decompositions of Graphs
Wayne Barrett, Amanda Francis, Ben Webb
We investigate connections between the symmetries (automorphisms) of a graph and its spectral properties. Whenever a graph has a symmetry, i.e. a nontrivial automorphism , it is…