@inbook {IOPORT.05917561, author = {Bagga, Jay and Ellis, Robert B. and Ferrero, Daniela}, title = {The spectra of super line multigraphs.}, year = {2010}, booktitle = {Advances in discrete mathematics and applications: Mysore, 2008. Proceedings of the international conference on discrete mathematics (ICDM 2008), Mysore, India, June 6--10, 2008}, isbn = {978-93-80416-03-8}, pages = {81-89}, publisher = {Mysore: Ramanujan Mathematical Society}, abstract = {Summary: For an arbitrary simple graph $G$ and a positive integer $r$, the super line multigraph of index $r$ of $G$, denoted ${\Cal M}_r(G)$, has for vertices all the $r$-subsets of edges. Two vertices $S$ and $T$ are joined by as many edges as pairs of distinct edges $s\in S$ and $t\in T$ share a common vertex in $G$. We present spectral properties of ${\Cal M}_r(G)$ and particularly, if $G$ is a regular graph, we calculate all the eigenvalues of ${\Cal M}_r(G)$ and their multiplicities in terms of those of $G$.}, identifier = {05917561}, }