# Spectra of Graphs

In Spring 2006, Andries E. Brouwer and Willem H. Haemers gave a series of lectures at IPM, the Institute for Studies in Theoretical Physics and Mathematics in Tehran. The lecture notes were combined and published as an IPM report. Since that time, various versions of that text have been available at this site.

Preprint PDF.

A book version was released by Springer on the 16th of December 2011. However, the copyright year is 2012.

A.E. Brouwer & W.H. Haemers, Spectra of graphs, Springer, New York, etc., 2012.
ISBN 978-1-4614-1938-9.

## Book Errata

p. 39, in the proof of Theorem 3.5.1, ‘θn−α−1’ should be ‘θn−α+1’.

p. 40, Proposition 3.6.3: add in part (ii) the condition ‘θm ≥ 0’, and in part (iii) the condition ‘θt+m−1 ≥ 0’.

p. 55, 3rd line following Step 4: semibipartite should be split.

p. 57, middle: replace ‘NiTt0...ti’ by ‘Ni+1Tt0...ti’.

p. 87, Proposition 5.3.2, 2nd line: replace eigenvalue by eigenvector.

p. 93, line 9: replace edge-transitive by arc-transitive.

p. 119, Proposition 9.1.4: add the word ‘primitive’: A primitive strongly regular graph ....

p. 117, 151 replace in the definition of ‘restricted eigenvalue’ the part perpendicular to by which is not a multiple of.

p. 125, line −9: replace ‘K5’ by ‘C5’.

p. 138, line 13, ‘f : F→K’ should be ‘f : K→F’.

p. 140, lines 13, 18: replace ‘qk−2’ and ‘qk’ by ‘qm−2’ and ‘qm’.

p. 155, line 9: replace ‘1’ by ‘≥1’ in the table entries for 126 and 176.

p. 160, bottom line, replace ‘(196,±1)’ by ‘(196,1)’.

p. 161, line 2: add in (iii) the condition ‘4|a’.

p. 166: in (iv) replace ‘i,j,k’ by ‘i,j’.

p. 167: in the line before Theorem 11.2.1, replace ‘Ek’ by ‘Ei’.

p. 167, Theorem 11.2.2: replace ‘For i’ by ‘For j’.

p. 169: in the line before Theorem 11.3.2, replace ‘b × (d+1)’ by ‘n × (d+1)’.