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New families of graphs determined by their generalized spectrum |
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| Authors: | Fenjin Liu Johannes Siemons Wei Wang |
| Abstract: | We construct infinite families of graphs that are determined by their generalized spectrum. This construction is based on new formulae for the determinant of the walk matrix of a graph. All graphs constructed here satisfy a certain extremal divisibility condition for the determinant of their walk matrix. |
| Keywords: | Corresponding author at: School of Science, Chang’an University, Xi’an, 710046, PR China. Graph spectrum Walk matrix Graphs determined by generalized spectrum |
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