References
L. Babai, Spectra of Cayley graphs,J. Comb. Theory B, to appear.
L. Babai, On strong embeddings of categories,Proc. Conf. Univ. Alg., Esztergom (Hungary) 1977, to appear.
N. L. Biggs,Algebraic Graph Theory, Cambridge Univ. Press (London, 1974).
F. C. Bussemaker, S. Cobeljić, D. M. Cvetković andJ. J. Seidel,Computer investigation of cubic graphs, Report 76-WSK-01 Technological Univ. (Eindhoven, Netherlands, 1976).
C-Y. Chao, A note on the eigenvalues of a graph,J. Comb. Theory. 10B (1971), 301–302.
V. Chvátal, P. Hell, L. Kuĉera andJ. Neŝetříl, Every finite graph is a full subgraph of a rigid graph.J. Comb. Theory. 11 (1971), 284–286.
L. Collatz andA. Sinogowitz, Spektren endlicher Graphen,Abh. Math. Sem. Univ. Hamburg,21 (1957), 63–77.
H. S. M. Coxeter,Introduction to geometry, Wiley (New York, 1961).
D. M. Cvetkovíć, Graphs and their spectra,Univ. Beograd, Publ. Elektrotechn. Fak. Ser. Mat. Fiz., no.354-356 (1971), 1–50.
M. Doob, Eigenvalues of a graph and its embeddings.J. Comb. Theory. 17 (1974), 244–248.
M. Fiedler, Algebraic connectivity of graphs.Czech. Math. J.,23 (98) (1973), 298–305.
F. Harary, The determinant of the adjacency matrix of a graph,SIAM Rev.,4 (1962), 202–210.
F. Harary,Graph Theory, Addison-Wesley (Reading, 1969).
F. Harary andE. M. Palmer, On similar points of a graphy.J. Math. Mech.,15 (1966), 623–630.
Z. Hedrlin andA. Pultr, On full embeddings of categories of algebras,Illinois J. Math.,10 (1966), 392–406.
Z. Hedrlin andA. Pultr, Symmetric relations (undirected graphs) with given semigroups,Monatshefte Math.,69 (1965), 318–322.
A. J. Hoffman, On the polynomial of a graph,Amer. Math. Monthly,70 (1963), 30–36.
A. J. Hoffman, On spectrally bounded graphs,A survey of Comb. Theory (N. Srivastava, ed.) North-Holland (1973), 277–283.
A. J. Hoffman, Applications of Ramsey style theorems to eigenvalues of graphs,Combinatorics (M. Hall and J. H. van Lint, eds.), Math. Centre Tracts 56, Amsterdam (1974), 43–57.
L. Lovász, Spectra of graphs with transitive groups,Periodica Math. Hung. 6 (1975), 191–196.
L. Lovász andJ. Pelikán, On the eigenvalues of trees,Periodica Math. Hung.,3 (1973), 175–182.
A. Mowshowitz, The group of a graph whose adjacency matrix has all distinct eigenvalues,Proof Techniques in Graph Theory (F. Harary,ed.) Academic Press, (New York, 1969). 109–110.
A. Mowshowitz, The adjacency matrix and the group of a graph,New Directions in the Theory of Graphs (F. Harary, ed.), Academic Press (New York, 1973), 129–148.
M. Petersdorf andH. Sachs, Spektrum und Automorphismengruppe eines Graphen,Comb. Th. and Appl. III., Coll. Math. Soc. J. Bolyai 4 (P. Erdös et al. eds.), North Holland (Amsterdam, 1970), 891–907.
A. Pultr, Concerning universal categories,Comment. Math. Univ. Carolinae,5 (1964), 227–239.
A. Pultr, On full embeddings of concrete categories with respect to forgetful functors,Comment. Math. Univ. Carolinae,9 (1968), 281–305.
A. Pultr, Eine Bemerkung über volle Einbettungen von Kategorien von Algebren,Math. Annalen,178 (1968), 78–82.
H. Sachs, Beziehungen zwischen den in einem Graphen enthaltenen Kreisen und seinem charakteristischen Polynom,Publ. Math. Debrecen,11 (1964), 119–134.
A. J. Schwenk, Almost all trees are cospectral,New Directions in the Theory of Graphs (F. Harary ed.), Academic Press, New York (1973), 275–307.
J-P. Serre,Representations lineaires des groupes finis, Hermann (Paris, 1967).
D. S. Shonland,Molecular Symmetry. Van Nostrand (London, 1965).
P. Vopênka, A. Pultr andZ. Hedrlín, A rigid relation exists on any set,Comment. Math. Univ. Carolinae,6 (1965), 149–155.
Д. А. Суренко, Р. И Тыщкевич,Перецманочные мамрuчы, Наека и техика (Минцк, 1966).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Babai, L. Automorphism group and category of cospectral graphs. Acta Mathematica Academiae Scientiarum Hungaricae 31, 295–306 (1978). https://doi.org/10.1007/BF01901979
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01901979