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Abstract. The paper focuses on the interpretation problem of the concept of spectacularity in modern philosophy. The particularities of different conceptions of spectacularity are analyzed and the special attention is paid to its role in the development of the modern society. The main objective of the article is the critical analysis of different theories of philosophers and cultural experts in the context of the spectacularity phenomenon. The research applies the methods of the systematic approach and contextual analysis. The novelty of the paper lies in the formation of the strengths and weaknesses of the spectacularity concepts and in the development of certain principles of the interdisciplinary study of the phenomenon. This research could be of interest for professionals working in the field of sociology of culture and philosophy of culture.

The Star graph S n , n 2, is the Cayley graph over the symmetric group Sym n generated by transpositions (1 i), 2 i n. This set of transpositions plays an important role in the representation theory of the symmetric group. The spectrum of S n contains all integers from −(n − 1) to n − 1, and also zero for n 4. In this paper we observe methods for getting explicit formulas of eigenvalue multiplicities in the Star graphs S n , present such formulas for the eigenvalues ±(n − k), where 2 k 12, and finally collect computational results of all eigenvalue multiplicities for n 50 in the catalogue.