EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 36(50), pp. 17--28 (1984)

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GRAPHS WITH THE REDUCED SPECTRUM IN THE UNIT INTERVAL

Aleksandar Torgasev

Matematicki fakultet, Beograd, Yugoslavia

Abstract: By the reduced spectrum (r.s.) of a finite connected graph, we mean the set of all its eigenvalues with the maximal and the minimal eigenvalues excluded. In this paper we characterize all finite connected graphs having at least one positive and at least one negative eigenvalue in their reduced spectrum, whose r.s.\ lies in the unit interval $[-1,1)$.

Classification (MSC2000): 05C50; 47A10

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Electronic fulltext finalized on: 3 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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