Geodesic
On Spectrum and Per-spectrum of Graphs
Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 31

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We show that spectrum and per-spectrum of a graph $G$ is $[x_1,\dots,x_n]$ and $[ix_1,\dots,ix_n]$, respectively,, iff $G$ is a bipartite graph without cycles of length $k$, $k=0\pmod4$.
Classification : 05C50 
Mieczyslaw Borowiecki. On Spectrum and Per-spectrum of Graphs. Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 31 . http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a5/
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     title = {On {Spectrum} and {Per-spectrum} of {Graphs}},
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     year = {1985},
     volume = {_N_S_38},
     number = {52},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a5/}
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