4
votes
3answers
239 views

Operation on Isospectral graphs

Suppose $G$ and $H$ are two isospectral connected graphs. Can we say anything about isospectrality of graphs that obtain by binary operation between $G$ and $H$? For example,in special case, is ...
1
vote
1answer
228 views

spectrum and degree sequence

We have the spectrum and the degree sequence of one graph. Can we uniquely determine the graph with these given information?